{"id":1725,"date":"2015-12-31T03:07:45","date_gmt":"2015-12-31T03:07:45","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=1725"},"modified":"2024-11-08T17:00:56","modified_gmt":"2024-11-08T17:00:56","slug":"resolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/resistores-primeira-lei-de-ohm\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm\/","title":{"rendered":"Primeira lei de Ohm \u2013 Resolu\u00e7\u00e3o EN"},"content":{"rendered":"<h1 class=\"page-title\">OHM&#8217;S FIRST LAW \u2013 RESOLUTION<\/h1>\n<div class=\"entry clearfix\">\n<p align=\"CENTER\"><b>Commented resolution of entrance exam exercises on<\/b><b><\/b><\/p>\n<p align=\"CENTER\"><b><a class=\"google-anno\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/resistores-primeira-lei-de-ohm\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm\/#\" data-google-vignette=\"false\" data-google-interstitial=\"false\">\u00a0<span class=\"google-anno-t\">Resistors<\/span><\/a>\u00a0\u2013 Ohm\u2019s First Law \u2013 Electrical Power of a<a class=\"google-anno\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/resistores-primeira-lei-de-ohm\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm\/#\" data-google-vignette=\"false\" data-google-interstitial=\"false\">\u00a0<span class=\"google-anno-t\">\u00a0Resistor<\/span><\/a><\/b><\/p>\n<p>&nbsp;<\/p>\n<p><b>01\u00a0<\/b><b>\u2013<\/b><b>\u00a0RA \u2013 see theory<\/b><\/p>\n<p><b>02-<\/b><b>\u00a0\u00a0For i=2 A \u2014 U=5.i\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0=5.2\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0=5.4 \u2014 U=20V \u2014 R=U\/i=20\/2 \u200b\u200b\u2014 R=5 \u03a9 \u2014\u00a0\u00a0<\/b><b>\u00a0R- A<\/b><\/p>\n<p><b>03<\/b><b>\u00a0\u2013\u00a0<\/b><b>\u00a0In every electrical circuit there must be a generator (battery), electrical wires conducting the electrical current and a conductor (lamp) \u2014\u00a0<\/b><b>\u00a0 R- A\u00a0<\/b><b>.<\/b><\/p>\n<p><b>04-<\/b><b>\u00a0\u00a0R=U\/i \u2014 1,500=220\/i \u2014 i=220\/1,500 \u2014 i=0.1466 A \u2014 i=146.6mA \u2014\u00a0\u00a0<\/b><b>\u00a0R- D<\/b><\/p>\n<p><b>05-<\/b><b>\u00a0\u00a0a) Since the relationship between voltage (U) and current (i) is constant, the resistor is ohmic. Applying Ohm&#8217;s law \u2014 when t=10s \u2014 U=0.5V and i=1.0A \u2014 R=U\/i=0.5\/1.0 \u2014 R=0.5\u03a9<\/b><\/p>\n<p><b>b) The electrical power in the resistor is defined by the product Ui The area represents the dissipated energy.<\/b><\/p>\n<p><b>06-<\/b><b>\u00a0\u00a0R=U\/i \u2014 10\u00a0<\/b><sup><b>3<\/b><\/sup><b>\u00a0=220\/i \u2014 i=220\/10\u00a0<\/b><sup><b>3<\/b><\/sup><b>\u00a0\u00a0 \u2014 i=0.220 \u2014\u00a0\u00a0\u00a0<\/b><b>R- D<\/b><\/p>\n<p><b>07-<\/b><b>\u00a0\u00a0U=10,000V, i=300mA=0.3a \u2014 calculation of the total resistance so that the person does not die \u2014 R=U\/i=10,000\/0.3 \u2014 R=3.33.10\u00a0<\/b><sup><b>5<\/b><\/sup><b>\u00a0\u03a9 \u2014 being the resistance of the person&#8217;s body R\u00a0<\/b><sub><b>p<\/b><\/sub><b>\u00a0=2,000\u03a9, the electrical resistance of the air must complete this value \u2014 R=R\u00a0<\/b><sub><b>p<\/b><\/sub><b>\u00a0\u00a0+ R\u00a0<\/b><sub><b>air<\/b><\/sub><b>\u00a0\u00a0 \u2014\u00a0<\/b><\/p>\n<p><b>3.33.10\u00a0<\/b><sup><b>5<\/b><\/sup><b>\u00a0=2,000 + R\u00a0<\/b><sub><b>air<\/b><\/sub><b>\u00a0\u00a0 \u2014\u00a0\u00a0\u00a0<\/b><b>R\u00a0<\/b><sub><b>air<\/b><\/sub><b>\u00a0=3.31.10\u00a0<\/b><sup><b>5<\/b><\/sup><b>\u00a0\u03a9<\/b><\/p>\n<div class=\"google-auto-placed ap_container\">\n<p>&nbsp;<\/p>\n<div id=\"aswift_9_host\"><iframe id=\"aswift_9\" tabindex=\"0\" title=\"Advertisement\" src=\"https:\/\/googleads.g.doubleclick.net\/pagead\/ads?gdpr=0&amp;us_privacy=1---&amp;gpp_sid=-1&amp;client=ca-pub-4904230854272924&amp;output=html&amp;h=280&amp;adk=2401810076&amp;adf=3902103200&amp;w=890&amp;abgtt=6&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731084960&amp;num_ads=1&amp;rafmt=1&amp;armr=3&amp;sem=mc&amp;pwprc=4065565381&amp;ad_type=text_image&amp;format=890x280&amp;url=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Feletricidade%2Feletrodinamica%2Fresistores-primeira-lei-de-ohm%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=889&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731084954042&amp;bpp=4&amp;bdt=531&amp;idt=4103&amp;shv=r20241106&amp;mjsv=m202410300101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731084873%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731084873%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C300x600&amp;nras=2&amp;correlator=8707192886988&amp;frm=20&amp;pv=1&amp;u_tz=-180&amp;u_his=50&amp;u_h=768&amp;u_w=1366&amp;u_ah=720&amp;u_aw=1366&amp;u_cd=24&amp;u_sd=0.667&amp;dmc=4&amp;adx=367&amp;ady=986&amp;biw=2023&amp;bih=949&amp;scr_x=0&amp;scr_y=0&amp;eid=44759875%2C44759926%2C31087701%2C95344189%2C95346759%2C31088653%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGsmFBUrYVK2gStQ4M699FLtdq_P6lsYgtUDZ-D2du507wKi00TUmxEdWgBa47GyV7pngqSuighJoLCST7Q%2CAOrYGsmW_GH87iwIEcnSM5_FxyHyLm8TELW7646DHpD5YiOf65SW6IKFvvx0NHefCDE2PQOxzBfuqWSwOl9r4Q&amp;pvsid=2519617754607050&amp;tmod=212644663&amp;uas=3&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1725%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C2049%2C949&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.67&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=10&amp;uci=a!a&amp;btvi=5&amp;fsb=1&amp;dtd=6028\" name=\"aswift_9\" width=\"890\" height=\"0\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" sandbox=\"allow-forms allow-popups allow-popups-to-escape-sandbox allow-same-origin allow-scripts allow-top-navigation-by-user-activation\" data-google-container-id=\"a!a\" aria-label=\"Advertisement\" data-google-query-id=\"CMa6k4GazYkDFX5K3QIdXfYDUA\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<p><b>08-<\/b><b>\u00a0\u00a0Each wire is traversed by an electric current of i=0.75\/150 \u2014 i=0.005 A and subjected to a ddp of U=220V \u2014 R=U\/i=220\/0.005 \u2014\u00a0\u00a0<\/b><b>\u00a0R=44,000\u03a9=44k\u03a9<\/b><\/p>\n<p><b>09-<\/b><b>\u00a0\u00a0(01) False \u2013 only conductor III is ohmic<\/b><\/p>\n<p><b>(02) True<\/b><\/p>\n<p><b>(04) False \u2013 see calculations below<\/b><\/p>\n<p align=\"CENTER\"><img fetchpriority=\"high\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletrcidade\/1ohm\/i_ae630bb2fc88690e_html_a80adbe4.jpg\" alt=\"\" width=\"468\" height=\"234\" name=\"Imagem 188\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b>R\u00a0<\/b><sub><b>III<\/b><\/sub><b>\u00a0=U\/i=4\/8=0.5\u03a9 \u2014 R\u00a0<\/b><sub><b>IV<\/b><\/sub><b>\u00a0=U\/i=4\/4=1\u03a9<\/b><\/p>\n<div class=\"google-auto-placed ap_container\">\n<p>&nbsp;<\/p>\n<div id=\"aswift_10_host\"><iframe id=\"aswift_10\" tabindex=\"0\" title=\"Advertisement\" src=\"https:\/\/googleads.g.doubleclick.net\/pagead\/ads?gdpr=0&amp;us_privacy=1---&amp;gpp_sid=-1&amp;client=ca-pub-4904230854272924&amp;output=html&amp;h=280&amp;adk=2401810076&amp;adf=3127439911&amp;w=890&amp;abgtt=6&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731084960&amp;num_ads=1&amp;rafmt=1&amp;armr=3&amp;sem=mc&amp;pwprc=4065565381&amp;ad_type=text_image&amp;format=890x280&amp;url=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Feletricidade%2Feletrodinamica%2Fresistores-primeira-lei-de-ohm%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=889&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731084954042&amp;bpp=4&amp;bdt=531&amp;idt=4285&amp;shv=r20241106&amp;mjsv=m202410300101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731084873%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731084873%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280&amp;nras=3&amp;correlator=8707192886988&amp;frm=20&amp;pv=1&amp;u_tz=-180&amp;u_his=50&amp;u_h=768&amp;u_w=1366&amp;u_ah=720&amp;u_aw=1366&amp;u_cd=24&amp;u_sd=0.667&amp;dmc=4&amp;adx=367&amp;ady=1772&amp;biw=2023&amp;bih=949&amp;scr_x=0&amp;scr_y=0&amp;eid=44759875%2C44759926%2C31087701%2C95344189%2C95346759%2C31088653%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGsmFBUrYVK2gStQ4M699FLtdq_P6lsYgtUDZ-D2du507wKi00TUmxEdWgBa47GyV7pngqSuighJoLCST7Q%2CAOrYGsmW_GH87iwIEcnSM5_FxyHyLm8TELW7646DHpD5YiOf65SW6IKFvvx0NHefCDE2PQOxzBfuqWSwOl9r4Q&amp;pvsid=2519617754607050&amp;tmod=212644663&amp;uas=3&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1725%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C2049%2C949&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.67&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=11&amp;uci=a!b&amp;btvi=6&amp;fsb=1&amp;dtd=6380\" name=\"aswift_10\" width=\"890\" height=\"0\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" sandbox=\"allow-forms allow-popups allow-popups-to-escape-sandbox allow-same-origin allow-scripts allow-top-navigation-by-user-activation\" data-google-container-id=\"a!b\" aria-label=\"Advertisement\" data-google-query-id=\"CJOcqYGazYkDFXFU3QIdT1oRyA\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<p><b>(08) False \u2013 conductor V is not ohmic<\/b><\/p>\n<p><b>(16) False \u2013 above 1V, the resistance of I is the smallest of all ohmic resistances<\/b><\/p>\n<p><b>R- sum \u2013 (02)<\/b><\/p>\n<p><b>10-<\/b><b>\u00a0Since R is constant, the ohmic resistor \u2014 either b or e \u2014 R=U\/i \u2014 2=10\/5 \u2014 R- E<\/b><b>\u00a0<\/b><b><\/b><\/p>\n<p><b>11-<\/b><b>\u00a0\u00a0Since the resistor is ohmic, the ddp U is directly proportional to the electric current i \u2014 rule of three \u2014 20V \u2013 4 A \u2013 xV \u2013 3 A \u2014 x=60\/4 \u2014\u00a0\u00a0<\/b><b>\u00a0i=15V<\/b><\/p>\n<p><b>12-<\/b><b>\u00a0\u00a0a) P=iU \u2014 60=i.120 \u2014\u00a0\u00a0<\/b><b>\u00a0i=0.5 A<\/b><\/p>\n<p><b>b) R=U\/i=120\/0.5 \u2014\u00a0\u00a0\u00a0<\/b><b>R=240\u03a9<\/b><\/p>\n<div class=\"google-auto-placed ap_container\">\n<p>&nbsp;<\/p>\n<div id=\"aswift_11_host\"><iframe id=\"aswift_11\" tabindex=\"0\" title=\"Advertisement\" src=\"https:\/\/googleads.g.doubleclick.net\/pagead\/ads?gdpr=0&amp;us_privacy=1---&amp;gpp_sid=-1&amp;client=ca-pub-4904230854272924&amp;output=html&amp;h=280&amp;adk=2401810076&amp;adf=955562285&amp;w=890&amp;abgtt=6&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731084960&amp;num_ads=1&amp;rafmt=1&amp;armr=3&amp;sem=mc&amp;pwprc=4065565381&amp;ad_type=text_image&amp;format=890x280&amp;url=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Feletricidade%2Feletrodinamica%2Fresistores-primeira-lei-de-ohm%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=889&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731084954042&amp;bpp=2&amp;bdt=531&amp;idt=4318&amp;shv=r20241106&amp;mjsv=m202410300101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731084873%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731084873%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280%2C890x280&amp;nras=4&amp;correlator=8707192886988&amp;frm=20&amp;pv=1&amp;u_tz=-180&amp;u_his=50&amp;u_h=768&amp;u_w=1366&amp;u_ah=720&amp;u_aw=1366&amp;u_cd=24&amp;u_sd=0.667&amp;dmc=4&amp;adx=367&amp;ady=2357&amp;biw=2023&amp;bih=949&amp;scr_x=0&amp;scr_y=0&amp;eid=44759875%2C44759926%2C31087701%2C95344189%2C95346759%2C31088653%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGsmFBUrYVK2gStQ4M699FLtdq_P6lsYgtUDZ-D2du507wKi00TUmxEdWgBa47GyV7pngqSuighJoLCST7Q%2CAOrYGsmW_GH87iwIEcnSM5_FxyHyLm8TELW7646DHpD5YiOf65SW6IKFvvx0NHefCDE2PQOxzBfuqWSwOl9r4Q&amp;pvsid=2519617754607050&amp;tmod=212644663&amp;uas=3&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1725%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C2049%2C949&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.67&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=12&amp;uci=a!c&amp;btvi=7&amp;fsb=1&amp;dtd=6416\" name=\"aswift_11\" width=\"890\" height=\"0\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" sandbox=\"allow-forms allow-popups allow-popups-to-escape-sandbox allow-same-origin allow-scripts allow-top-navigation-by-user-activation\" data-google-container-id=\"a!c\" aria-label=\"Advertisement\" data-google-query-id=\"CPPlrIGazYkDFUVK3QIdY4oTcg\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<p><b>13-<\/b><b>\u00a0\u00a0Since U is constant \u2014 P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0= U\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R \u2014 P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0\u00a0and R are inversely proportional \u2014 the\u00a0<\/b><b>25W one\u00a0<\/b><b>\u00a0has less resistance, as it has greater power.<\/b><\/p>\n<p><b>14-<\/b><b>\u00a0\u00a0When we close the tap a little, we are reducing the water flow and, consequently, reducing the mass of water that needs to be heated \u2014\u00a0<\/b><b>\u00a0 R- C<\/b><\/p>\n<p><span lang=\"en-US\"><b>15-<\/b><\/span><span lang=\"en-US\"><b>\u00a0\u00a0P\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>SC<\/b><\/span><\/sub><span lang=\"en-US\"><b>\u00a0=P\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>SP<\/b><\/span><\/sub><span lang=\"en-US\"><b>\u00a0\u00a0 \u2014 U\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>SC\u00a0<\/b><\/span><\/sub><sup><span lang=\"en-US\"><b>2<\/b><\/span><\/sup><span lang=\"en-US\"><b>\u00a0\/R\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>SC<\/b><\/span><\/sub><span lang=\"en-US\"><b>\u00a0= U\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>P\u00a0<\/b><\/span><\/sub><sup><span lang=\"en-US\"><b>2<\/b><\/span><\/sup><span lang=\"en-US\"><b>\u00a0\/R\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>P<\/b><\/span><\/sub><span lang=\"en-US\"><b>\u00a0\u00a0 \u2014 U\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>SC<\/b><\/span><\/sub><span lang=\"en-US\"><b>\u00a0=2U\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>P \u2014\u00a0<\/b><\/span><\/sub><span lang=\"en-US\"><b>\u00a0\u00a0(2U P\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>)<\/b><\/span><\/sub><span lang=\"en-US\"><b>\u00a02\u00a0<\/b><\/span><sup><span lang=\"en-US\"><b>\/<\/b><\/span><\/sup><span lang=\"en-US\"><b>\u00a0R SC\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>=<\/b><\/span><\/sub><span lang=\"en-US\"><b>\u00a0U P\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>2\u00a0<\/b><\/span><\/sub><sup><span lang=\"en-US\"><b>\/<\/b><\/span><\/sup><span lang=\"en-US\"><b>\u00a0R P\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>\u2014<\/b><\/span><\/sub><span lang=\"en-US\"><b>\u00a04 \u00a0 U P\u00a0<\/b><\/span><span lang=\"en-US\"><b>2\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>\/<\/b><\/span><\/sub><span lang=\"en-US\"><b>\u00a0R<\/b><\/span><sup><span lang=\"en-US\"><b>\u00a0<\/b><\/span><\/sup><sub><span lang=\"en-US\"><b>S<\/b><\/span><\/sub><span lang=\"en-US\"><b>\u00a0= U\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>P\u00a0<\/b><\/span><\/sub><sup><span lang=\"en-US\"><b>2<\/b><\/span><\/sup><span lang=\"en-US\"><b>\u00a0\/R\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>P<\/b><\/span><\/sub><span lang=\"en-US\"><b>\u00a0\u00a0 \u2014\u00a0\u00a0<\/b><\/span><span lang=\"en-US\"><b>\u00a0R\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>P<\/b><\/span><\/sub><span lang=\"en-US\"><b>\u00a0=R\u00a0<\/b><\/span><sub><span lang=\"en-US\"><b>SC<\/b><\/span><\/sub><span lang=\"en-US\"><b>\u00a0\/4 \u2014 R- C<\/b><\/span><sub><span lang=\"en-US\"><b>\u00a0<\/b><\/span><\/sub><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><\/p>\n<p><b>16-<\/b><b>\u00a0\u00a0Warm water \u2013 medium power \u2013 medium resistance \u2014\u00a0\u00a0<\/b><b>\u00a0R- A<\/b><\/p>\n<p><b>17-<\/b><b>\u00a0\u00a0As P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0= U\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R and U being constant, P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0\u00a0is inversely related to R \u2014\u00a0\u00a0\u00a0<\/b><b>greater resistance (20.0\u03a9) \u2013 lower power \u2013 greater savings<\/b><\/p>\n<div class=\"google-auto-placed ap_container\">\n<p>&nbsp;<\/p>\n<div id=\"aswift_12_host\"><iframe id=\"aswift_12\" tabindex=\"0\" title=\"Advertisement\" src=\"https:\/\/googleads.g.doubleclick.net\/pagead\/ads?gdpr=0&amp;us_privacy=1---&amp;gpp_sid=-1&amp;client=ca-pub-4904230854272924&amp;output=html&amp;h=280&amp;adk=2401810076&amp;adf=2979414068&amp;w=890&amp;abgtt=6&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731084960&amp;num_ads=1&amp;rafmt=1&amp;armr=3&amp;sem=mc&amp;pwprc=4065565381&amp;ad_type=text_image&amp;format=890x280&amp;url=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Feletricidade%2Feletrodinamica%2Fresistores-primeira-lei-de-ohm%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=889&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731084954042&amp;bpp=4&amp;bdt=531&amp;idt=4421&amp;shv=r20241106&amp;mjsv=m202410300101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731084873%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731084873%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280&amp;nras=5&amp;correlator=8707192886988&amp;frm=20&amp;pv=1&amp;u_tz=-180&amp;u_his=50&amp;u_h=768&amp;u_w=1366&amp;u_ah=720&amp;u_aw=1366&amp;u_cd=24&amp;u_sd=0.667&amp;dmc=4&amp;adx=367&amp;ady=2947&amp;biw=2023&amp;bih=949&amp;scr_x=0&amp;scr_y=0&amp;eid=44759875%2C44759926%2C31087701%2C95344189%2C95346759%2C31088653%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGsmFBUrYVK2gStQ4M699FLtdq_P6lsYgtUDZ-D2du507wKi00TUmxEdWgBa47GyV7pngqSuighJoLCST7Q%2CAOrYGsmW_GH87iwIEcnSM5_FxyHyLm8TELW7646DHpD5YiOf65SW6IKFvvx0NHefCDE2PQOxzBfuqWSwOl9r4Q&amp;pvsid=2519617754607050&amp;tmod=212644663&amp;uas=3&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1725%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C2049%2C949&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;cms=2&amp;fu=128&amp;bc=31&amp;bz=0.67&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=13&amp;uci=a!d&amp;btvi=8&amp;fsb=1&amp;dtd=6466\" name=\"aswift_12\" width=\"890\" height=\"0\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" sandbox=\"allow-forms allow-popups allow-popups-to-escape-sandbox allow-same-origin allow-scripts allow-top-navigation-by-user-activation\" data-google-container-id=\"a!d\" aria-label=\"Advertisement\" data-google-query-id=\"CNqDtoGazYkDFU9N3QIdYY40Kw\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<p><b>18-<\/b><b>\u00a0\u00a0R=U\/i \u2014 3=9\/i \u2014 i=3.0A \u2014 P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0=iU=3.9 \u2014 P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0=27.0V \u2014\u00a0\u00a0<\/b><b>\u00a0R- C<\/b><\/p>\n<p><b>19-<\/b><b>\u00a0\u00a0As the power is the same, the electric current will decrease and the shower circuit wiring can be thinner, providing savings \u2014\u00a0\u00a0<\/b><b>\u00a0R- D<\/b><\/p>\n<p><b>20-<\/b><b>\u00a0\u00a0P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0=U\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R \u2014 R=U\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/P \u2014 substituting each alternative \u2014\u00a0\u00a0<\/b><b>\u00a0R- C<\/b><\/p>\n<p><b>21-<\/b><b>\u00a0\u00a0It must be 4 times smaller \u2014 see theory \u2014 R= 8\/4=2\u03a9 \u2014\u00a0\u00a0\u00a0<\/b><b>R- D<\/b><\/p>\n<p><b>22-<\/b><b>\u00a0\u00a0(01) Correct \u2013 lower power (less hot, lukewarm water), higher resistance<\/b><\/p>\n<p><b>(02) Smallest R \u2013 largest i \u2014 R=U\/i \u2014 3=120\/i \u2014 i= 40 A \u2014 correct<\/b><\/p>\n<p><b>(04) P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0=Ri\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0=8.15\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0=8.225=1.800W \u2014 correct<\/b><\/p>\n<div class=\"google-auto-placed ap_container\">\n<p>&nbsp;<\/p>\n<div id=\"aswift_13_host\"><iframe id=\"aswift_13\" tabindex=\"0\" title=\"Advertisement\" src=\"https:\/\/googleads.g.doubleclick.net\/pagead\/ads?gdpr=0&amp;us_privacy=1---&amp;gpp_sid=-1&amp;client=ca-pub-4904230854272924&amp;output=html&amp;h=280&amp;adk=2401810076&amp;adf=3664999517&amp;w=890&amp;abgtt=6&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731084960&amp;num_ads=1&amp;rafmt=1&amp;armr=3&amp;sem=mc&amp;pwprc=4065565381&amp;ad_type=text_image&amp;format=890x280&amp;url=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Feletricidade%2Feletrodinamica%2Fresistores-primeira-lei-de-ohm%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=889&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731084954042&amp;bpp=2&amp;bdt=531&amp;idt=4447&amp;shv=r20241106&amp;mjsv=m202410300101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731084873%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731084873%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280%2C890x280&amp;nras=6&amp;correlator=8707192886988&amp;frm=20&amp;pv=1&amp;u_tz=-180&amp;u_his=50&amp;u_h=768&amp;u_w=1366&amp;u_ah=720&amp;u_aw=1366&amp;u_cd=24&amp;u_sd=0.667&amp;dmc=4&amp;adx=367&amp;ady=3535&amp;biw=2023&amp;bih=949&amp;scr_x=0&amp;scr_y=0&amp;eid=44759875%2C44759926%2C31087701%2C95344189%2C95346759%2C31088653%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGsmFBUrYVK2gStQ4M699FLtdq_P6lsYgtUDZ-D2du507wKi00TUmxEdWgBa47GyV7pngqSuighJoLCST7Q%2CAOrYGsmW_GH87iwIEcnSM5_FxyHyLm8TELW7646DHpD5YiOf65SW6IKFvvx0NHefCDE2PQOxzBfuqWSwOl9r4Q&amp;pvsid=2519617754607050&amp;tmod=212644663&amp;uas=3&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1725%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C2049%2C949&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.67&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=14&amp;uci=a!e&amp;btvi=9&amp;fsb=1&amp;dtd=6629\" name=\"aswift_13\" width=\"890\" height=\"0\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" sandbox=\"allow-forms allow-popups allow-popups-to-escape-sandbox allow-same-origin allow-scripts allow-top-navigation-by-user-activation\" data-google-container-id=\"a!e\" aria-label=\"Advertisement\" data-google-query-id=\"CLjVwIGazYkDFUxc3QId2FcuTg\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<p><b>(08) Correct \u2013 see theory<\/b><\/p>\n<p><b>(16) R=U\/i \u2014 3=120\/i \u2014 i=40 A \u2014 false<\/b><\/p>\n<p><b>R- (01 + 02 + 04 + 08) = 15<\/b><\/p>\n<p><b>23- Ohmic\u00a0<\/b><b><a class=\"google-anno\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/resistores-primeira-lei-de-ohm\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm\/#\" data-google-vignette=\"false\" data-google-interstitial=\"false\"><span class=\"google-anno-t\">resistor<\/span><\/a><\/b><b>\u00a0\u2014 same resistance \u2014 R=20\u03a9 \u2014 R=U\/i \u2014 20=100\/i \u2014 i=100\/20=5 A \u2014 Po==iU=5.100=500W \u2014\u00a0\u00a0\u00a0<\/b><b>R- E<\/b><b>\u00a0<a class=\"google-anno\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/resistores-primeira-lei-de-ohm\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm\/#\" data-google-vignette=\"false\" data-google-interstitial=\"false\">\u00a0<\/a><\/b><b><\/b><\/p>\n<p><b>24-<\/b><b>\u00a0\u00a01 kW\/m\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\u00a0= 1000 W\/10000 cm\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\u00a0= 10 W\/100 cm\u00a0<\/b><sup><b>2\u00a0<\/b><\/sup><b>\u00a0\u00a0\u2014 the cell receives 10 W. Since the efficiency is 12% this means that 1.2 W of solar energy are converted into electrical energy.<\/b><\/p>\n<p><b>P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0= Ui \u2014 1.2 = 1.6.i \u2014 i = 1.2\/1.6 = 0.75 \u2014\u00a0\u00a0<\/b><b>\u00a0i=0.75A<\/b><\/p>\n<p><b>25-<\/b><b>\u00a0R- C\u00a0\u00a0<\/b><b>\u00a0\u2014 see theory<\/b><b>\u00a0<\/b><b><\/b><b><\/b><\/p>\n<div class=\"google-auto-placed ap_container\">\n<p>&nbsp;<\/p>\n<div id=\"aswift_14_host\"><iframe id=\"aswift_14\" tabindex=\"0\" title=\"Advertisement\" src=\"https:\/\/googleads.g.doubleclick.net\/pagead\/ads?gdpr=0&amp;us_privacy=1---&amp;gpp_sid=-1&amp;client=ca-pub-4904230854272924&amp;output=html&amp;h=280&amp;adk=2401810076&amp;adf=1867085319&amp;w=890&amp;abgtt=6&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731084962&amp;num_ads=1&amp;rafmt=1&amp;armr=3&amp;sem=mc&amp;pwprc=4065565381&amp;ad_type=text_image&amp;format=890x280&amp;url=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Feletricidade%2Feletrodinamica%2Fresistores-primeira-lei-de-ohm%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=889&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731084958571&amp;bpp=2&amp;bdt=5060&amp;idt=2&amp;shv=r20241106&amp;mjsv=m202410300101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731084873%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731084873%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280%2C890x280%2C890x280%2C2023x949%2C1005x124%2C300x600%2C300x600&amp;nras=9&amp;correlator=8707192886988&amp;frm=20&amp;pv=1&amp;u_tz=-180&amp;u_his=50&amp;u_h=768&amp;u_w=1366&amp;u_ah=720&amp;u_aw=1366&amp;u_cd=24&amp;u_sd=0.667&amp;dmc=4&amp;adx=367&amp;ady=3586&amp;biw=2023&amp;bih=949&amp;scr_x=0&amp;scr_y=0&amp;eid=44759875%2C44759926%2C31087701%2C95344189%2C95346759%2C31088653%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGsmFBUrYVK2gStQ4M699FLtdq_P6lsYgtUDZ-D2du507wKi00TUmxEdWgBa47GyV7pngqSuighJoLCST7Q%2CAOrYGsmW_GH87iwIEcnSM5_FxyHyLm8TELW7646DHpD5YiOf65SW6IKFvvx0NHefCDE2PQOxzBfuqWSwOl9r4Q&amp;pvsid=2519617754607050&amp;tmod=212644663&amp;uas=3&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1725%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C2049%2C949&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.67&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=15&amp;uci=a!f&amp;btvi=13&amp;fsb=1&amp;dtd=3673\" name=\"aswift_14\" width=\"890\" height=\"0\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" sandbox=\"allow-forms allow-popups allow-popups-to-escape-sandbox allow-same-origin allow-scripts allow-top-navigation-by-user-activation\" data-google-container-id=\"a!f\" aria-label=\"Advertisement\" data-google-query-id=\"CKicmIKazYkDFeJc3QIdc9w7bg\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<p><b>26-<\/b><b>\u00a0\u00a0Same power \u2013 same consumption \u2013 current i drops by half \u2013 see theory \u2013\u00a0<\/b><b>\u00a0R- B<\/b><\/p>\n<p><b>27-<\/b><b>\u00a0\u00a0a) being the same device \u2014 the resistance R is the same \u2014 P\u00a0<\/b><sub><b>220<\/b><\/sub><b>\u00a0=(U\u00a0<\/b><sub><b>220<\/b><\/sub><b>\u00a0)\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R=220\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R \u2014 P\u00a0<\/b><sub><b>110<\/b><\/sub><b>\u00a0=(U\u00a0<\/b><sub><b>110<\/b><\/sub><b>\u00a0)\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R=1100\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R \u2014 Z\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=P\u00a0<\/b><sub><b>220<\/b><\/sub><b>\u00a0\/P\u00a0<\/b><sub><b>110<\/b><\/sub><b>\u00a0\u00a0 \u2014\u00a0\u00a0\u00a0<\/b><b>Z\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=4<\/b><\/p>\n<p><b>b) the dissipated energies are equal \u2013 W = P. \u0394t \u2014 W\u00a0<\/b><sub><b>110<\/b><\/sub><b>\u00a0= W\u00a0<\/b><sub><b>220<\/b><\/sub><b>\u00a0\u00a0 \u2014 P\u00a0<\/b><sub><b>110<\/b><\/sub><b>\u00a0. \u0394t\u00a0<\/b><sub><b>110<\/b><\/sub><b>\u00a0= P\u00a0<\/b><sub><b>220<\/b><\/sub><b>\u00a0.\u00a0<\/b><sub><b>\u0394t 220<\/b><\/sub><b>\u00a0\u00a0 \u2014 \u0394t\u00a0<\/b><sub><b>110<\/b><\/sub><b>\u00a0= (P\u00a0<\/b><sub><b>220<\/b><\/sub><b>\u00a0\/ P\u00a0<\/b><sub><b>110<\/b><\/sub><b>\u00a0). \u0394t\u00a0<\/b><sub><b>220<\/b><\/sub><b>\u00a0\u00a0 \u2014 note in the graph that the duration of a 220V cycle is 0.2s \u2014 \u0394t\u00a0<\/b><sub><b>110<\/b><\/sub><b>\u00a0= 4.0.2 \u2014 \u0394t\u00a0<\/b><sub><b>110<\/b><\/sub><b>\u00a0= 0.8s \u2014 but the duration of a continuous 110V cycle is 0.2 + \u0394t \u2014 0.8 = 0.2 + \u0394t \u2014\u00a0\u00a0\u00a0<\/b><b>\u0394t = 0.6s<\/b><\/p>\n<p><b>c) the average current can be the constant current that provides the same average power \u2014 P\u00a0<\/b><sub><b>m<\/b><\/sub><b>\u00a0=RI\u00a0<\/b><sub><b>m\u00a0<\/b><\/sub><sup><b>2<\/b><\/sup><b>\u00a0\u00a0 \u2014 P\u00a0<\/b><sub><b>m220<\/b><\/sub><b>\u00a0=P\u00a0<\/b><sub><b>m110<\/b><\/sub><b>\u00a0\u00a0 \u2014 in the 0.8s cycle the dissipated energy is the same in both cases \u2014 R.(Im220)2= R.(Im110)2 \u2014 Z\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0=I\u00a0<\/b><sub><b>m220<\/b><\/sub><b>\u00a0\/I\u00a0<\/b><sub><b>m110<\/b><\/sub><b>\u00a0=1 \u2014\u00a0<\/b><\/p>\n<p><b>Z\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0= 1<\/b><\/p>\n<div class=\"google-auto-placed ap_container\">\n<p>&nbsp;<\/p>\n<div id=\"aswift_15_host\"><iframe id=\"aswift_15\" tabindex=\"0\" title=\"Advertisement\" src=\"https:\/\/googleads.g.doubleclick.net\/pagead\/ads?gdpr=0&amp;us_privacy=1---&amp;gpp_sid=-1&amp;client=ca-pub-4904230854272924&amp;output=html&amp;h=280&amp;adk=2401810076&amp;adf=3201005090&amp;w=890&amp;abgtt=6&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731084962&amp;num_ads=1&amp;rafmt=1&amp;armr=3&amp;sem=mc&amp;pwprc=4065565381&amp;ad_type=text_image&amp;format=890x280&amp;url=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Feletricidade%2Feletrodinamica%2Fresistores-primeira-lei-de-ohm%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=889&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731084958615&amp;bpp=8&amp;bdt=5104&amp;idt=8&amp;shv=r20241106&amp;mjsv=m202410300101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731084873%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731084873%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280%2C890x280%2C890x280%2C2023x949%2C1005x124%2C300x600%2C300x600%2C890x280&amp;nras=10&amp;correlator=8707192886988&amp;frm=20&amp;pv=1&amp;u_tz=-180&amp;u_his=50&amp;u_h=768&amp;u_w=1366&amp;u_ah=720&amp;u_aw=1366&amp;u_cd=24&amp;u_sd=0.667&amp;dmc=4&amp;adx=367&amp;ady=3357&amp;biw=2023&amp;bih=949&amp;scr_x=0&amp;scr_y=0&amp;eid=44759875%2C44759926%2C31087701%2C95344189%2C95346759%2C31088653%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGsmFBUrYVK2gStQ4M699FLtdq_P6lsYgtUDZ-D2du507wKi00TUmxEdWgBa47GyV7pngqSuighJoLCST7Q%2CAOrYGsmW_GH87iwIEcnSM5_FxyHyLm8TELW7646DHpD5YiOf65SW6IKFvvx0NHefCDE2PQOxzBfuqWSwOl9r4Q%2CAOrYGsnaNWjN55LkG7NrCfxm0SKhq8YK8RwTmt1I8-MnW5qt8Ny6cmhBjMjnRDjoGLQnYgLGZ_PRX6UliTrCrngzUMryBX9In7NOScEDptAnzQGhbwY&amp;pvsid=2519617754607050&amp;tmod=212644663&amp;uas=3&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1725%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C2049%2C949&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.67&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=16&amp;uci=a!g&amp;btvi=14&amp;fsb=1&amp;dtd=4246\" name=\"aswift_15\" width=\"890\" height=\"0\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" sandbox=\"allow-forms allow-popups allow-popups-to-escape-sandbox allow-same-origin allow-scripts allow-top-navigation-by-user-activation\" data-google-container-id=\"a!g\" aria-label=\"Advertisement\" data-google-query-id=\"CPCbw4KazYkDFals3QIdkPgLuw\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<p><b>28-<\/b><b>\u00a0\u00a0Since the showers, operating with equal flow rates at the voltages indicated by the manufacturers, heat the water equally, the powers dissipated by R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0and R\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0\u00a0(with the showers operating according to the manufacturer&#8217;s specifications) are equal, that is, 110\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0= 220\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0. Consequently, we have R\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0\u00a0= 4R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0and, therefore, P\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0\u00a0= (110V)\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0\u00a0= (110V)\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/(4R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0), that is, P\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\/P\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0\u00a0= 4. Since P\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0\u00a0is smaller than P\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0, we see that changing the resistance had the desired effect, since with the resistance R\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0\u00a0operating at 110V the power dissipated is four times smaller, heating the water less.<\/b><\/p>\n<p><b>29-<\/b><b>\u00a0\u00a0R is the same \u2014 P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0=U\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R \u2014 1200=(120)\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R \u2014 R=12\u03a9 \u2014 P\u00a0<\/b><sub><b>o1<\/b><\/sub><b>\u00a0=U\u00a0<\/b><sub><b>1\u00a0<\/b><\/sub><sup><b>2<\/b><\/sup><b>\u00a0\/R=(96)\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/12 \u2014 P\u00a0<\/b><sub><b>o1<\/b><\/sub><b>\u00a0=768W \u2014\u00a0\u00a0<\/b><b>\u00a0R- B<\/b><\/p>\n<p><b>30-<\/b><b>\u00a0\u00a0P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0=U\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R=(110)\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/70 \u2014 P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0=173W \u2014\u00a0\u00a0<\/b><b>\u00a0R- D<\/b><\/p>\n<p><b>31\u00a0<\/b><b>\u2013<\/b><b>\u00a0\u00a0a) P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0=U\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R=(120)\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/12 \u2014\u00a0\u00a0<\/b><b>\u00a0P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0=1,200W<\/b><\/p>\n<p><b>b) P\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=2P\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0\u00a0 \u2014 U\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=2U\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0\u00a0 \u2014 R\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0=2R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0 \u2014 R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0+ R\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0=12 \u2014 R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0+ 2R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=12 \u2014\u00a0<\/b><b>\u00a0R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=4.0\u03a9 \u2014 R\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0=8.0\u03a9<\/b><\/p>\n<div class=\"google-auto-placed ap_container\">\n<p>&nbsp;<\/p>\n<div id=\"aswift_16_host\"><iframe id=\"aswift_16\" tabindex=\"0\" title=\"Advertisement\" src=\"https:\/\/googleads.g.doubleclick.net\/pagead\/ads?gdpr=0&amp;us_privacy=1---&amp;gpp_sid=-1&amp;client=ca-pub-4904230854272924&amp;output=html&amp;h=280&amp;adk=2401810076&amp;adf=3664663832&amp;w=890&amp;abgtt=6&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731084963&amp;num_ads=1&amp;rafmt=1&amp;armr=3&amp;sem=mc&amp;pwprc=4065565381&amp;ad_type=text_image&amp;format=890x280&amp;url=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Feletricidade%2Feletrodinamica%2Fresistores-primeira-lei-de-ohm%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=889&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731084958693&amp;bpp=5&amp;bdt=5182&amp;idt=5&amp;shv=r20241106&amp;mjsv=m202410300101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731084873%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731084873%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280%2C890x280%2C890x280%2C2023x949%2C1005x124%2C300x600%2C300x600%2C890x280%2C890x280&amp;nras=11&amp;correlator=8707192886988&amp;frm=20&amp;pv=1&amp;u_tz=-180&amp;u_his=50&amp;u_h=768&amp;u_w=1366&amp;u_ah=720&amp;u_aw=1366&amp;u_cd=24&amp;u_sd=0.667&amp;dmc=4&amp;adx=367&amp;ady=3691&amp;biw=2023&amp;bih=949&amp;scr_x=0&amp;scr_y=0&amp;eid=44759875%2C44759926%2C31087701%2C95344189%2C95346759%2C31088653%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGsmFBUrYVK2gStQ4M699FLtdq_P6lsYgtUDZ-D2du507wKi00TUmxEdWgBa47GyV7pngqSuighJoLCST7Q%2CAOrYGsmW_GH87iwIEcnSM5_FxyHyLm8TELW7646DHpD5YiOf65SW6IKFvvx0NHefCDE2PQOxzBfuqWSwOl9r4Q%2CAOrYGsnaNWjN55LkG7NrCfxm0SKhq8YK8RwTmt1I8-MnW5qt8Ny6cmhBjMjnRDjoGLQnYgLGZ_PRX6UliTrCrngzUMryBX9In7NOScEDptAnzQGhbwY%2CAOrYGskPDcFrtJ-D4Y2Yg4-DV9ctygc1dS2xmgBJPrtxSSZrT_DRPSxkjoxdsVRV8MHM3oxlsqNXLYzlsdum1w&amp;pvsid=2519617754607050&amp;tmod=212644663&amp;uas=3&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1725%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C2049%2C949&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.67&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=17&amp;uci=a!h&amp;btvi=15&amp;fsb=1&amp;dtd=5308\" name=\"aswift_16\" width=\"890\" height=\"0\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" sandbox=\"allow-forms allow-popups allow-popups-to-escape-sandbox allow-same-origin allow-scripts allow-top-navigation-by-user-activation\" data-google-container-id=\"a!h\" aria-label=\"Advertisement\" data-google-query-id=\"CI-Xi4OazYkDFZJK3QIdqbcPxA\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<p><b>32\u00a0<\/b><b>\u2013<\/b><b>\u00a0a) i=Q\/\u0394t \u2014 300,000=Q\/0.5 \u2014 Q=150,000C \u2014 f=Q\/Q\u00a0<\/b><sub><b>total<\/b><\/sub><b>\u00a0=150,000\/600.00 \u2014\u00a0\u00a0<\/b><b>f=1\/4<\/b><\/p>\n<p><b>b) P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0=Ui=5.10\u00a0<\/b><sup><b>6<\/b><\/sup><b>\u00a0.3.10\u00a0<\/b><sup><b>5<\/b><\/sup><b>\u00a0\u00a0 \u2014 P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0=15.10\u00a0<\/b><sup><b>11<\/b><\/sup><b>\u00a0W \u2014 W=P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0.\u0394t=15.10\u00a0<\/b><sup><b>11<\/b><\/sup><b>\u00a0.0.5 \u2014 W=7.5.10\u00a0<\/b><sup><b>11<\/b><\/sup><b>\u00a0J \u2014 1kWh \u2013 3.6.10\u00a0<\/b><sup><b>6<\/b><\/sup><b>\u00a0J \u2014 x kWh \u2013 7.5.10\u00a0<\/b><sup><b>11<\/b><\/sup><b>\u00a0J \u2014 x=7.5.10\u00a0<\/b><sup><b>11<\/b><\/sup><b>\u00a0\/3.6.10\u00a0<\/b><sup><b>6<\/b><\/sup><b>\u00a0\u00a0 \u2014\u00a0\u00a0\u00a0<\/b><b>W=2.1.10\u00a0<\/b><sup><b>5<\/b><\/sup><b>\u00a0kWh<\/b><\/p>\n<p><b>33-<\/b><b>\u00a0a) No \u2014 this relationship presents the definition of electrical resistance.<\/b><b>\u00a0<\/b><b><\/b><\/p>\n<p><b>b) Yes \u2014 this relationship allows you to determine the electrical resistance of any\u00a0<a class=\"google-anno\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/resistores-primeira-lei-de-ohm\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm\/#\" data-google-vignette=\"false\" data-google-interstitial=\"false\">\u00a0<span class=\"google-anno-t\">resistor<\/span><\/a>\u00a0, whether it is ohmic or not.<\/b><\/p>\n<p><b>c) Yes \u2014 the resistance R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0= U\/i is constant and equal to 2.2\u03a9.\u00a0<\/b><\/p>\n<p><b>34-<\/b><b>\u00a0Data \u2014 U = 600 V \u2014 R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0= 2 k\u03a9 = 2.10\u00a0<\/b><sup><b>3<\/b><\/sup><b>\u00a0\u00a0\u03a9 \u2014 R\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0\u00a0= 16 k\u03a9 = 16.10\u00a0<\/b><sup><b>3<\/b><\/sup><b>\u00a0\u00a0\u03a9 \u2014 when holding the ends of the fish, the person and the fish associate as\u00a0<\/b><b><a class=\"google-anno\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/resistores-primeira-lei-de-ohm\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm\/#\" data-google-vignette=\"false\" data-google-interstitial=\"false\"><span class=\"google-anno-t\">resistors<\/span><\/a><\/b><b>\u00a0in series \u2014 applying Ohm&#8217;s 1st law \u2014 U = (R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0+ R\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0) i \u2014 600 = 18 .10\u00a0<\/b><sup><b>3<\/b><\/sup><b>\u00a0\u00a0i \u2014 i = 600\/18.10\u00a0<\/b><sup><b>3<\/b><\/sup><b>\u00a0\u00a0 \u2014 i=33.3.\u00a0<\/b><sup><b>10 -3<\/b><\/sup><b>\u00a0\u00a0A \u2014 i=33.3mA \u2014 19 mA &lt; i \u200b\u200b&lt; 100 mA \u2014\u00a0\u00a0\u00a0<\/b><b>\u00a0R- D<\/b><b>\u00a0<\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><a class=\"google-anno\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/resistores-primeira-lei-de-ohm\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm\/#\" data-google-vignette=\"false\" data-google-interstitial=\"false\">\u00a0<\/a><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><\/p>\n<div class=\"google-auto-placed ap_container\">\n<p>&nbsp;<\/p>\n<div id=\"aswift_17_host\"><iframe id=\"aswift_17\" tabindex=\"0\" title=\"Advertisement\" src=\"https:\/\/googleads.g.doubleclick.net\/pagead\/ads?gdpr=0&amp;us_privacy=1---&amp;gpp_sid=-1&amp;client=ca-pub-4904230854272924&amp;output=html&amp;h=280&amp;adk=2401810076&amp;adf=2701920783&amp;w=890&amp;abgtt=6&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731084965&amp;num_ads=1&amp;rafmt=1&amp;armr=3&amp;sem=mc&amp;pwprc=4065565381&amp;ad_type=text_image&amp;format=890x280&amp;url=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Feletricidade%2Feletrodinamica%2Fresistores-primeira-lei-de-ohm%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=889&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731084958721&amp;bpp=2&amp;bdt=5211&amp;idt=2&amp;shv=r20241106&amp;mjsv=m202410300101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731084873%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731084873%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280%2C890x280%2C890x280%2C2023x949%2C1005x124%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280&amp;nras=12&amp;correlator=8707192886988&amp;frm=20&amp;pv=1&amp;u_tz=-180&amp;u_his=50&amp;u_h=768&amp;u_w=1366&amp;u_ah=720&amp;u_aw=1366&amp;u_cd=24&amp;u_sd=0.667&amp;dmc=4&amp;adx=367&amp;ady=3730&amp;biw=2023&amp;bih=949&amp;scr_x=0&amp;scr_y=0&amp;eid=44759875%2C44759926%2C31087701%2C95344189%2C95346759%2C31088653%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGsmFBUrYVK2gStQ4M699FLtdq_P6lsYgtUDZ-D2du507wKi00TUmxEdWgBa47GyV7pngqSuighJoLCST7Q%2CAOrYGsmW_GH87iwIEcnSM5_FxyHyLm8TELW7646DHpD5YiOf65SW6IKFvvx0NHefCDE2PQOxzBfuqWSwOl9r4Q%2CAOrYGsnaNWjN55LkG7NrCfxm0SKhq8YK8RwTmt1I8-MnW5qt8Ny6cmhBjMjnRDjoGLQnYgLGZ_PRX6UliTrCrngzUMryBX9In7NOScEDptAnzQGhbwY%2CAOrYGskPDcFrtJ-D4Y2Yg4-DV9ctygc1dS2xmgBJPrtxSSZrT_DRPSxkjoxdsVRV8MHM3oxlsqNXLYzlsdum1w&amp;pvsid=2519617754607050&amp;tmod=212644663&amp;uas=3&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1725%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C2049%2C949&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.67&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=18&amp;uci=a!i&amp;btvi=16&amp;fsb=1&amp;dtd=6377\" name=\"aswift_17\" width=\"890\" height=\"0\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" sandbox=\"allow-forms allow-popups allow-popups-to-escape-sandbox allow-same-origin allow-scripts allow-top-navigation-by-user-activation\" data-google-container-id=\"a!i\" aria-label=\"Advertisement\" data-google-query-id=\"CK-Gx4OazYkDFdNU3QId8xcb1g\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<p><b>35-<\/b><b>\u00a0Observe the graph below where two points A and B were chosen:\u00a0<\/b><b>\u00a0<\/b><b><\/b><\/p>\n<p align=\"CENTER\"><img decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletrcidade\/1ohm\/i_ae630bb2fc88690e_html_954809e4.jpg\" alt=\"\" width=\"395\" height=\"214\" name=\"Imagem 189\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b>I. False \u2014 when resistance is constant, voltage and current are directly proportional, so the graph is a straight line through the origin.<\/b><\/p>\n<div class=\"google-auto-placed ap_container\">\n<p>&nbsp;<\/p>\n<div id=\"aswift_18_host\"><iframe id=\"aswift_18\" tabindex=\"0\" title=\"Advertisement\" src=\"https:\/\/googleads.g.doubleclick.net\/pagead\/ads?gdpr=0&amp;us_privacy=1---&amp;gpp_sid=-1&amp;client=ca-pub-4904230854272924&amp;output=html&amp;h=280&amp;adk=2401810076&amp;adf=1438501378&amp;w=890&amp;abgtt=6&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731084997&amp;num_ads=1&amp;rafmt=1&amp;armr=3&amp;sem=mc&amp;pwprc=4065565381&amp;ad_type=text_image&amp;format=890x280&amp;url=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Feletricidade%2Feletrodinamica%2Fresistores-primeira-lei-de-ohm%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=889&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731084958762&amp;bpp=2&amp;bdt=5252&amp;idt=2&amp;shv=r20241106&amp;mjsv=m202410300101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731084873%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731084873%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280%2C890x280%2C890x280%2C2023x949%2C1005x124%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280%2C890x280%2C300x600&amp;nras=13&amp;correlator=8707192886988&amp;frm=20&amp;pv=1&amp;u_tz=-180&amp;u_his=50&amp;u_h=768&amp;u_w=1366&amp;u_ah=720&amp;u_aw=1366&amp;u_cd=24&amp;u_sd=0.667&amp;dmc=4&amp;adx=367&amp;ady=4099&amp;biw=2023&amp;bih=949&amp;scr_x=0&amp;scr_y=941&amp;eid=44759875%2C44759926%2C31087701%2C95344189%2C95346759%2C31088653%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGsmFBUrYVK2gStQ4M699FLtdq_P6lsYgtUDZ-D2du507wKi00TUmxEdWgBa47GyV7pngqSuighJoLCST7Q%2CAOrYGsmW_GH87iwIEcnSM5_FxyHyLm8TELW7646DHpD5YiOf65SW6IKFvvx0NHefCDE2PQOxzBfuqWSwOl9r4Q%2CAOrYGsnaNWjN55LkG7NrCfxm0SKhq8YK8RwTmt1I8-MnW5qt8Ny6cmhBjMjnRDjoGLQnYgLGZ_PRX6UliTrCrngzUMryBX9In7NOScEDptAnzQGhbwY%2CAOrYGskPDcFrtJ-D4Y2Yg4-DV9ctygc1dS2xmgBJPrtxSSZrT_DRPSxkjoxdsVRV8MHM3oxlsqNXLYzlsdum1w&amp;pvsid=2519617754607050&amp;tmod=212644663&amp;uas=3&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1725%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C2049%2C949&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.67&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=19&amp;uci=a!j&amp;btvi=18&amp;fsb=1&amp;dtd=38955\" name=\"aswift_18\" width=\"890\" height=\"0\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" sandbox=\"allow-forms allow-popups allow-popups-to-escape-sandbox allow-same-origin allow-scripts allow-top-navigation-by-user-activation\" data-google-container-id=\"a!j\" aria-label=\"Advertisement\" data-google-query-id=\"CPyikJOazYkDFX5U3QIdItEdQw\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<p><b>II. False \u2014 Calculating the resistance for the points, A and B, highlighted in the figure \u2014 R\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0= U\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0\/i\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0= 2\/0.15 \u2014 R\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0= 13.3\u03a9 \u2014 R\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0= U\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0\/i\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0\u00a0 \u2014 R\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0= 6\/0.25 \u2014 R\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0= 24\u03a9 \u2014 the resistance increases with the increase in current.<\/b><\/p>\n<p><b>III. Correct \u2014 dissipated powers for the values \u200b\u200bof the highlighted points \u2014 P\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0\u00a0= U\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0. i\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0= 2.(0.15) = 0.3 W \u2014 P\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0=U\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0.i\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0\u00a0 \u2014\u00a0<\/b><\/p>\n<p><b>P\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0=6.0.24=1.5W \u2014 P\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0\u00a0&gt; P\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0\u00a0 \u2014 the power dissipated in the filament increases with the increase in the applied voltage.\u00a0<\/b><\/p>\n<p><b>R-C<\/b><\/p>\n<p><b>36-<\/b><b>\u00a0P\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=U\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R \u2014 20=24\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R \u2014 R=576\/20 \u2014 R=28.8\u00a0<\/b><span lang=\"en-US\"><b>\u03a9<\/b><\/span><b>\u00a0\u00a0(assumed constant) \u2014 P\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0=U\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R=12\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/28.8 \u2014 P\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0=144\/28.8 \u2014 P\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0=5W \u2014\u00a0\u00a0<\/b><b>\u00a0R= E\u00a0<\/b><b>\u00a0<\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b>\u00a0<\/b><\/p>\n<p><b>37-<\/b><b>\u00a0Note from the expression Po\u00a0<\/b><sub><b>=<\/b><\/sub><b>\u00a0U\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R that the dissipated power is inversely proportional to the resistance \u2014 therefore, to heat the bath water more quickly the resistance must be reduced, reducing the length of the resistor and consequently its resistance \u2014\u00a0\u00a0\u00a0<\/b><b>R- C<\/b><b>\u00a0<\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><\/p>\n<div class=\"google-auto-placed ap_container\">\n<p>&nbsp;<\/p>\n<div id=\"aswift_19_host\"><iframe id=\"aswift_19\" tabindex=\"0\" title=\"Advertisement\" src=\"https:\/\/googleads.g.doubleclick.net\/pagead\/ads?gdpr=0&amp;us_privacy=1---&amp;gpp_sid=-1&amp;client=ca-pub-4904230854272924&amp;output=html&amp;h=280&amp;adk=2401810076&amp;adf=3776629500&amp;w=890&amp;abgtt=6&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731084998&amp;num_ads=1&amp;rafmt=1&amp;armr=3&amp;sem=mc&amp;pwprc=4065565381&amp;ad_type=text_image&amp;format=890x280&amp;url=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Feletricidade%2Feletrodinamica%2Fresistores-primeira-lei-de-ohm%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=889&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731084958782&amp;bpp=6&amp;bdt=5271&amp;idt=7&amp;shv=r20241106&amp;mjsv=m202410300101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731084873%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731084873%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280%2C890x280%2C890x280%2C2023x949%2C1005x124%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280%2C890x280%2C300x600%2C890x280&amp;nras=14&amp;correlator=8707192886988&amp;frm=20&amp;pv=1&amp;u_tz=-180&amp;u_his=50&amp;u_h=768&amp;u_w=1366&amp;u_ah=720&amp;u_aw=1366&amp;u_cd=24&amp;u_sd=0.667&amp;dmc=4&amp;adx=367&amp;ady=4748&amp;biw=2023&amp;bih=949&amp;scr_x=0&amp;scr_y=1635&amp;eid=44759875%2C44759926%2C31087701%2C95344189%2C95346759%2C31088653%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGsmFBUrYVK2gStQ4M699FLtdq_P6lsYgtUDZ-D2du507wKi00TUmxEdWgBa47GyV7pngqSuighJoLCST7Q%2CAOrYGsmW_GH87iwIEcnSM5_FxyHyLm8TELW7646DHpD5YiOf65SW6IKFvvx0NHefCDE2PQOxzBfuqWSwOl9r4Q%2CAOrYGsnaNWjN55LkG7NrCfxm0SKhq8YK8RwTmt1I8-MnW5qt8Ny6cmhBjMjnRDjoGLQnYgLGZ_PRX6UliTrCrngzUMryBX9In7NOScEDptAnzQGhbwY%2CAOrYGskPDcFrtJ-D4Y2Yg4-DV9ctygc1dS2xmgBJPrtxSSZrT_DRPSxkjoxdsVRV8MHM3oxlsqNXLYzlsdum1w&amp;pvsid=2519617754607050&amp;tmod=212644663&amp;uas=3&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1725%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C2049%2C949&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.67&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=20&amp;uci=a!k&amp;btvi=19&amp;fsb=1&amp;dtd=39294\" name=\"aswift_19\" width=\"890\" height=\"0\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" sandbox=\"allow-forms allow-popups allow-popups-to-escape-sandbox allow-same-origin allow-scripts allow-top-navigation-by-user-activation\" data-google-container-id=\"a!k\" aria-label=\"Advertisement\" data-google-query-id=\"CJ-pppOazYkDFf9s3QIdlWoUMg\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<p><b>38-<\/b><b>\u00a0\u00a001) Correct \u2014 the dissipated power is \u2014 P\u00a0<\/b><sub><b>d<\/b><\/sub><b>\u00a0\u00a0= R i\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\u00a0= 75 (2)\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\u00a0 \u2014 P\u00a0<\/b><sub><b>d<\/b><\/sub><b>\u00a0\u00a0= 300 W.<\/b><b>\u00a0<\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><\/p>\n<p><b>02) Correct \u2014 \u0394E = P\u00a0<\/b><sub><b>d<\/b><\/sub><b>\u00a0.\u0394 t = 300 (1.4\u00d760) \u2014 \u0394E = 25,200 J.<\/b><\/p>\n<p><b>04) Correct \u2014 addp (U) at the terminals is given by Ohm&#8217;s 1st law \u2014 U = R i = 75 (2) \u2014 U = 150 V.<\/b><\/p>\n<p><b>08) Correct \u2014 calculating the mass of ice that melts, transforming into water \u2014 \u0394E = Q = m L\u00a0<\/b><sub><b>f<\/b><\/sub><b>\u00a0\u00a0 \u2014 \u200b\u200b25,200 = m (80 x 4.2) \u2014 m = 75 g \u2014 as the initial mass of ice is 0.2 kg = 200 g, 125 g of ice remains.<\/b><\/p>\n<p><b>16) Correct \u2014 as in the end there is a mixture of water and ice, the equilibrium temperature is 0 \u00b0C.\u00a0<\/b><\/p>\n<p><b>R- (01 + 02 + 04 + 08 + 16) = 31<\/b><\/p>\n<p><b>39-<\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletrcidade\/1ohm\/i_ae630bb2fc88690e_html_acbf4237.jpg\" alt=\"\" width=\"767\" height=\"112\" name=\"Imagem 190\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b>40-<\/b><b>\u00a0I. Incorrect. If the batteries are in series, the equivalent voltage is the sum of the voltages, therefore the voltage across the flashlight bulbs will be: U = 4 +1.5 = 6 volts.<\/b><b>\u00a0<\/b><b><\/b><\/p>\n<p><b>II. Correct. The energy consumed by an appliance is given by the product of the power and the operating time \u2014 flashlight \u2014 P\u00a0<\/b><sub><b>L<\/b><\/sub><b>\u00a0= 20 W \u2014 \u0394t\u00a0<\/b><sub><b>L<\/b><\/sub><b>\u00a0= (2.24) + 2 \u2014 \u0394t\u00a0<\/b><sub><b>L<\/b><\/sub><b>\u00a0= 50 h \u2014 shower \u2014 P\u00a0<\/b><sub><b>c<\/b><\/sub><b>\u00a0= 4,000 W \u2014 \u0394t\u00a0<\/b><sub><b>c<\/b><\/sub><b>\u00a0= 15 min = 1\/4 h \u2014 W\u00a0<\/b><sub><b>c<\/b><\/sub><b>\u00a0= P\u00a0<\/b><sub><b>c<\/b><\/sub><b>\u00a0. \u0394t\u00a0<\/b><sub><b>c<\/b><\/sub><b>\u00a0= 4,000\u00d71\/4 \u2014\u00a0<\/b><\/p>\n<p><b>W\u00a0<\/b><sub><b>c<\/b><\/sub><b>\u00a0= 1,000Wh = 1kWh<\/b><\/p>\n<p><b>III. Correct.<\/b><\/p>\n<p><b>IV. Incorrect. The compass is affected by the magnetic field created by the electric current that powers the flashlight bulbs.\u00a0<\/b><\/p>\n<p><b>R-C<\/b><\/p>\n<p><b>41-<\/b><b>\u00a0Energy consumed \u2014 \u0394\u03b5 = P \u22c5 \u0394t \u2014 equating the energy consumed by the lamp with the energy consumed by the shower \u2014 \u0394\u03b5\u00a0<\/b><sub><b>L<\/b><\/sub><b>\u00a0\u00a0= \u0394\u03b5\u00a0<\/b><sub><b>C\u00a0<\/b><\/sub><b>\u00a0\u00a0\u2014 P\u00a0<\/b><sub><b>L<\/b><\/sub><b>\u00a0\u00a0\u22c5 \u0394t\u00a0<\/b><sub><b>L<\/b><\/sub><b>\u00a0\u00a0= P\u00a0<\/b><sub><b>C<\/b><\/sub><b>\u00a0\u00a0\u22c5 \u0394t\u00a0<\/b><sub><b>C\u00a0<\/b><\/sub><b>\u00a0\u00a0\u2014 60 \u22c5 \u0394t\u00a0<\/b><sub><b>L<\/b><\/sub><b>\u00a0\u00a0= 6800 \u22c5 1\/3\u00a0<\/b><b>\u00a0\u2014 \u0394t\u00a0<\/b><sub><b>L<\/b><\/sub><b>\u00a0\u00a0\u2248 37.7 h \u2014\u00a0<\/b><b>\u00a0 R- D<\/b><b>\u00a0<\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><sub><b>\u00a0<\/b><\/sub><b><\/b><b><\/b><b><\/b><b><\/b><\/p>\n<p><b>(UEPB-PB)<\/b><\/p>\n<p><b>Read the text below to answer questions\u00a0<\/b><b>42 and 43.<\/b><\/p>\n<p><b>The British physicist Jaines Prescon Joule (1818-1889), who discovered the principle that bears his name, explained the relationship between electricity and heat, and brought many benefits to mankind. Many devices that we use in our daily lives work based on the Joule effect. This principle is widely used in everyday life, for example, in heating equipment such as electric irons, electric showers, straighteners, electric ovens, incandescent light bulbs, etc.<\/b><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletrcidade\/1ohm\/i_ae630bb2fc88690e_html_f49fae6.jpg\" alt=\"\" width=\"357\" height=\"256\" name=\"Imagem 192\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b>The electric shower is made up of two\u00a0<a class=\"google-anno\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/resistores-primeira-lei-de-ohm\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm\/#\" data-google-vignette=\"false\" data-google-interstitial=\"false\">\u00a0<span class=\"google-anno-t\">resistors<\/span><\/a>\u00a0, made up of a spiral metal wire that allows for quick and practical heating, one with high power and the other with low heating power, and a rubber diaphragm. The resistors are fixed to the inside of the shower. To select the type of shower you want to take, there is a selector switch on the outside that is capable of changing the type of resistance, increasing or decreasing the shower power and, consequently, the temperature of the shower. As the water circulates through the shower, it presses the rubber diaphragm, which in turn brings the energized contacts located in the head of the device closer together. Thus, the water heats up as it passes through the terminals of the hot\u00a0<a class=\"google-anno\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/resistores-primeira-lei-de-ohm\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-resistores-primeira-lei-de-ohm\/#\" data-google-vignette=\"false\" data-google-interstitial=\"false\">\u00a0<span class=\"google-anno-t\">resistor<\/span><\/a>\u00a0, making the shower nice and warm.<\/b><\/p>\n<p><b>(Adapted from &lt;http:\/Jwwsv.newtoncbraga.com.br\/index.phpieletncadomiciliar&#8217;2936-c 1033.hunl p&#8217;<\/b><\/p>\n<p><b>To select the type of shower you want to take, the electric shower has a selector switch that can be set to the WINTER AND SUMMER positions.<\/b><\/p>\n<p><b>42-<\/b><b>\u00a0Analyze the following theory:<\/b><\/p>\n<p><b>In an electric shower, normally with a 220V voltage (kept constant), the winter (hot) and summer (lukewarm) positions correspond to different powers. When you change the shower cursor, for example, from summer to\u00a0<\/b><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletrcidade\/1ohm\/i_ae630bb2fc88690e_html_44c0f5b.jpg\" alt=\"\" width=\"332\" height=\"178\" name=\"Imagem 193\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p>\u00a0<b>In winter, you are decreasing the electrical resistance inside the shower and, consequently, increasing the power, making it hotter, of course keeping the flow constant. The opposite occurs when you change the shower cursor from winter to summer. This happens because, for the same voltage, the power is inversely proportional to the resistance, since, P=U\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/R, with constant U.<\/b><\/p>\n<p><b>A- A\u00a0<\/b><b>.<\/b><\/p>\n<p>43-\u00a0<b>Shower power \u2014 P=6500W6.5kW \u2014 operating time \u2014 \u2206t=10min=10\/60=1\/6hx4x30=20h \u2014 P=W\/\u2206t \u2014 6.5kW=W\/20h \u2014 W=130kWh \u2014 R- A.<\/b><b><\/b><b><\/b><\/p>\n<p><b>44-<\/b><b>\u00a0I- True \u2014 according to Ohm&#8217;s second law (R=\u03c1.\u2113\/s) the electrical resistance of the filament of lamp A, which has a greater thickness S, is lower than the resistance of lamp B \u2014 the lower the resistance, the greater the brightness.<\/b><b>\u00a0<\/b><b>\u00a0<\/b><b><\/b><\/p>\n<p><b>II- False \u2014 each one, after being connected in series, will be under a voltage of 220\/2=110V \u2014 under a voltage of 120V they would dissipate a power of 100W, but as they are under a voltage of 110V, they will dissipate a power lower than 100W, will be traversed by a lower current, will shine less than normal, but will not burn out.<\/b><\/p>\n<p><b>III- False \u2014 P=iU \u2014 60=i.120 \u2014 i = 0.5 A.<\/b><\/p>\n<p><b>R- C\u00a0<\/b><b>.<\/b><\/p>\n<p><b>45-<\/b><b>\u00a0Amount of sensible heat used to heat m=300g of water from 20\u00a0<\/b><sup><b>o<\/b><\/sup><b>\u00a0C to 100\u00a0<\/b><sup><b>o<\/b><\/sup><b>\u00a0C \u2014 Q\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=mc(t \u2013 t\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0)=300.1.0.(100 \u2013 20) \u2014<\/b><\/p>\n<p><b>Q\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=300.1.0.80 \u2014 Q\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=24,000cal \u2014 amount of latent heat used to vaporize m\/3=100g of water at 100\u00a0<\/b><sup><b>o<\/b><\/sup><b>\u00a0C \u2014 Q\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0=mL\u00a0<\/b><sub><b>V<\/b><\/sub><b>\u00a0\u00a0 \u2014 Q\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0=100,540 \u2014 Q\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0=54,000cal \u2014 amount of total heat absorbed by the water \u2014 Q\u00a0<\/b><sub><b>total<\/b><\/sub><b>\u00a0=Q\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0+ Q\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0=78,000cal \u2014<\/b><\/p>\n<p><b>by the statement all electrical energy is transformed into thermal energy \u2014 electrical energy (W) \u2014 1cal \u2014 4.2J \u2014 78,000cal \u2014 WJ \u2014 W=327,600J \u2014 electrical power of the vaporizer \u2014 P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0=Ri\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0=12.10\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\u00a0 \u2014 P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0=1,200W \u2014 P\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0=W\/\u2206t \u2014 1,200=327,600\/\u2206t \u2014 \u2206t=273s\/60=4min 33s \u2014\u00a0\u00a0<\/b><b>\u00a0R- B<\/b><\/p>\n<p><b>46-<\/b><b>\u00a0(ENEM-MEC)<\/b><\/p>\n<p><b>From the statement, the two showers are operating at the same power \u2014 P\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0= P\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0= 4400W \u2014 Shower A \u2014 P\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0= 4,400W \u2014 U\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0= 127V \u2014 P\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0= U\u00a0<\/b><sub><b>A\u00a0<\/b><\/sub><sup><b>2<\/b><\/sup><b>\u00a0\/ R\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0\u00a0 \u2014 4400 = 127\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/ R\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0\u00a0 \u2014 R\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0= 16129\/4400=3.665\u03a9 \u2014 Shower B \u2014 P\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0= 4,400W \u2014 U\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0= 127V \u2014 P\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0= U\u00a0<\/b><sub><b>B\u00a0<\/b><\/sub><sup><b>2<\/b><\/sup><b>\u00a0\/ R\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0\u00a0 \u2014 4400=220\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\/ R\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0\u00a0 \u2014 R\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0= 48400\/4400=11\u03a9 \u2014 the exercise asks for R\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0\/ R\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0= 3.665\/11=0.33 \u2014\u00a0\u00a0<\/b><b>\u00a0R- A\u00a0<\/b><b>.<\/b><\/p>\n<h3><a title=\"Entrance exam exercises with commented solutions on Resistors \u2013 Ohm's First Law\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/resistores-primeira-lei-de-ohm\/exercicios-de-vestibulares-com-resolucao-comentada-sobre-resistores-primeira-lei-de-ohm\/\">Back to exercises<\/a><\/h3>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>OHM&#8217;S FIRST LAW \u2013 RESOLUTION Commented resolution of entrance exam exercises on \u00a0Resistors\u00a0\u2013 Ohm\u2019s First Law \u2013 Electrical Power of a\u00a0\u00a0Resistor &nbsp; 01\u00a0\u2013\u00a0RA \u2013 see theory 02-\u00a0\u00a0For i=2 A \u2014 U=5.i\u00a02\u00a0=5.2\u00a02\u00a0=5.4 \u2014 U=20V \u2014 R=U\/i=20\/2 \u200b\u200b\u2014 R=5 \u03a9 \u2014\u00a0\u00a0\u00a0R- A 03\u00a0\u2013\u00a0\u00a0In every electrical circuit there must be a generator (battery), electrical wires conducting the electrical current and a conductor (lamp)<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1721,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-1725","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/1725","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/comments?post=1725"}],"version-history":[{"count":5,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/1725\/revisions"}],"predecessor-version":[{"id":11342,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/1725\/revisions\/11342"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/1721"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=1725"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}