{"id":1856,"date":"2016-01-25T01:04:18","date_gmt":"2016-01-25T01:04:18","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=1856"},"modified":"2024-11-08T13:14:32","modified_gmt":"2024-11-08T13:14:32","slug":"resolucao-comentada-dos-exercicios-de-vestibulares-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone\/","title":{"rendered":"Ponte de Wheatstone &#8211; Resolu\u00e7\u00e3o EN"},"content":{"rendered":"<h1 class=\"page-title\"><span>WHEATSTONE BRIDGE \u2013 RESOLUTION<\/span><\/h1>\n<div class=\"entry clearfix\">\n<p align=\"CENTER\"><b><span>Commented resolution of entrance exam exercises on<\/span><\/b><b>\u00a0\u00a0<\/b><\/p>\n<p align=\"CENTER\"><b><span>Galvanometer as Ammeter and as\u00a0<\/span><a class=\"google-anno\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone\/#\" data-google-vignette=\"false\" data-google-interstitial=\"false\">\u00a0<span class=\"google-anno-t\"><span>Voltmeter<\/span><\/span><\/a><span>\u00a0\u2013 Wheatstone Bridge<\/span><\/b><\/p>\n<p><b><span>01-<\/span><\/b><b><span>\u00a0\u00a0The full-scale current (i\u00a0<\/span><\/b><sub><b><span>G<\/span><\/b><\/sub><b><span>\u00a0) of the galvanometer remains the same \u2014 what changes is the full-scale current (I) of the system (galvanometer + shunt resistance in parallel with it), which works as an ammeter, indicating a current greater than i\u00a0<\/span><\/b><sub><b><span>G<\/span><\/b><\/sub><b><span>\u00a0\u00a0 \u2014\u00a0\u00a0\u00a0<\/span><\/b><b><span>R- B<\/span><\/b><\/p>\n<p><b><span>02-<\/span><\/b><b><span>\u00a0\u00a0Observe the figure below \u2014 U=U\u00a0<\/span><\/b><sub><b><span>G<\/span><\/b><\/sub><b><span>\u00a0( 1 + R\u00a0<\/span><\/b><sub><b><span>M<\/span><\/b><\/sub><b><span>\u00a0\/R\u00a0<\/span><\/b><sub><b><span>G<\/span><\/b><\/sub><b><span>\u00a0) \u2014 10=1(1 + R\u00a0<\/span><\/b><sub><b><span>M<\/span><\/b><\/sub><b><span>\u00a0\/10) \u2014\u00a0\u00a0\u00a0<\/span><\/b><b><span>R\u00a0<\/span><\/b><sub><b><span>M<\/span><\/b><\/sub><b><span>\u00a0=90\u03a9<\/span><\/b><\/p>\n<p align=\"CENTER\"><img fetchpriority=\"high\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletrcidade\/galvanometro\/i_8ed417d1c4afefad_html_da77cf5f.jpg\" alt=\"\" width=\"449\" height=\"185\" name=\"graphics21\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>Of course the multiplication factor is 10 (a full scale voltage of 1V should indicate 10V) \u2014\u00a0\u00a0\u00a0<\/span><\/b><b><span>R- A<\/span><\/b><\/p>\n<div class=\"google-auto-placed ap_container\"><ins class=\"adsbygoogle adsbygoogle-noablate\" data-ad-format=\"auto\" data-ad-client=\"ca-pub-4904230854272924\" data-adsbygoogle-status=\"done\" data-ad-status=\"unfilled\"><\/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=919725261&amp;adf=1368378972&amp;w=890&amp;abgtt=7&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731071586&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%2Fgalvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=890&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731071585258&amp;bpp=4&amp;bdt=3415&amp;idt=-M&amp;shv=r20241106&amp;mjsv=m202410310101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731071584%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731071584%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600&amp;nras=2&amp;correlator=5263964421100&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=0.8&amp;dmc=4&amp;adx=199&amp;ady=873&amp;biw=1686&amp;bih=791&amp;scr_x=0&amp;scr_y=0&amp;eid=44759875%2C44759926%2C95346096%2C95332925%2C95343682%2C95344190%2C31088698%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGslvlC2nlvdW5tvxb3l2CkyGfTPJkD3eEgesD4FxlbgmO2XCUaz03SwRRdcqUZIr6-_XvOGoExV6xQLebhEGSZx2BO3l%2CAOrYGsl4_WbRirXcADdrupj53ILuDNRZGVUGhcsV42GSs3LMaveMzM81j4e3WBbrkkiGNwi01tEbreVjSYQZOQ%2CAOrYGsmDd1jOdixLvgVF-Sh5pUWFuNEl4rZrOkfe6k3syNKS9YLbI5M_UxcKgzUdmOrGtBNBcTqRAHDyCXnriw&amp;pvsid=590262024395501&amp;tmod=1114558793&amp;uas=0&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1856%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C1707%2C791&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.8&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=10&amp;uci=a!a&amp;btvi=4&amp;fsb=1&amp;dtd=1570\" name=\"aswift_9\" width=\"890\" height=\"280\" 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-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p><\/ins><\/div>\n<p><b><span>03-<\/span><\/b><b><span>\u00a0\u00a0\u00a0U=U\u00a0<\/span><\/b><sub><b><span>G<\/span><\/b><\/sub><b><span>\u00a0(1 + R\u00a0<\/span><\/b><sub><b><span>M<\/span><\/b><\/sub><b><span>\u00a0\/R\u00a0<\/span><\/b><sub><b><span>G<\/span><\/b><\/sub><b><span>\u00a0) \u2014 100=20(1 + R\u00a0<\/span><\/b><sub><b><span>M<\/span><\/b><\/sub><b><span>\u00a0\/2,000) \u2014 R\u00a0<\/span><\/b><sub><b><span>M<\/span><\/b><\/sub><b><span>\u00a0=8,000\u03a9=8k\u03a9 \u2014\u00a0\u00a0\u00a0<\/span><\/b><b><span>R- D<\/span><\/b><\/p>\n<p><b><span>04-<\/span><\/b><b><span>\u00a0\u00a0a) i=i\u00a0<\/span><\/b><sub><b><span>G<\/span><\/b><\/sub><b><span>\u00a0(1 + R\u00a0<\/span><\/b><sub><b><span>g<\/span><\/b><\/sub><b><span>\u00a0\/R\u00a0<\/span><\/b><sub><b><span>S<\/span><\/b><\/sub><b><span>\u00a0) \u2014 50.10\u00a0<\/span><\/b><sup><b><span>-3<\/span><\/b><\/sup><b><span>\u00a0=2.10\u00a0<\/span><\/b><sup><b><span>-3<\/span><\/b><\/sup><b><span>\u00a0(1 + 100\/R\u00a0<\/span><\/b><sub><b><span>S<\/span><\/b><\/sub><b><span>\u00a0) \u2014 24=100\/R\u00a0<\/span><\/b><sub><b><span>s<\/span><\/b><\/sub><b><span>\u00a0\u00a0 \u2014\u00a0\u00a0\u00a0<\/span><\/b><b><span>R\u00a0<\/span><\/b><sub><b><span>S<\/span><\/b><\/sub><b><span>\u00a0=4.2\u03a9 (connected in parallel with the galvanometer)<\/span><\/b><\/p>\n<p><b><span>b) See figure below \u2014 U=U\u00a0<\/span><\/b><sub><b><span>G\u00a0<\/span><\/b><\/sub><b><span>\u00a0+ U\u00a0<\/span><\/b><sub><b><span>M<\/span><\/b><\/sub><b><span>\u00a0\u00a0 \u2014 20=R\u00a0<\/span><\/b><sub><b><span>G<\/span><\/b><\/sub><b><span>\u00a0.i\u00a0<\/span><\/b><sub><b><span>G<\/span><\/b><\/sub><b><span>\u00a0\u00a0+ R\u00a0<\/span><\/b><sub><b><span>M<\/span><\/b><\/sub><b><span>\u00a0.i\u00a0<\/span><\/b><sub><b><span>M<\/span><\/b><\/sub><b><span>\u00a0\u00a0 \u2014 20=100.0.002 + R\u00a0<\/span><\/b><sub><b><span>M<\/span><\/b><\/sub><b><span>\u00a0.0.002 \u2014 20=0.2 + 0.002R\u00a0<\/span><\/b><sub><b><span>M<\/span><\/b><\/sub><b><span>\u00a0\u00a0 \u2014\u00a0<\/span><\/b><\/p>\n<p align=\"CENTER\"><img decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletrcidade\/galvanometro\/i_8ed417d1c4afefad_html_1628742.jpg\" alt=\"\" width=\"464\" height=\"158\" name=\"Imagem 7\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>R\u00a0<\/span><\/b><sub><b><span>M<\/span><\/b><\/sub><b><span>\u00a0=9,900\u03a9 \u2014 (connected in series with the galvanometer)<\/span><\/b><\/p>\n<div class=\"google-auto-placed ap_container\"><ins class=\"adsbygoogle adsbygoogle-noablate\" data-ad-format=\"auto\" data-ad-client=\"ca-pub-4904230854272924\" data-adsbygoogle-status=\"done\" data-ad-status=\"unfilled\"><\/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=919725261&amp;adf=1147149800&amp;w=890&amp;abgtt=7&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731071587&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%2Fgalvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=890&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731071585258&amp;bpp=1&amp;bdt=3414&amp;idt=-M&amp;shv=r20241106&amp;mjsv=m202410310101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731071584%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731071584%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280&amp;nras=3&amp;correlator=5263964421100&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=0.8&amp;dmc=4&amp;adx=199&amp;ady=1547&amp;biw=1686&amp;bih=791&amp;scr_x=0&amp;scr_y=0&amp;eid=44759875%2C44759926%2C95346096%2C95332925%2C95343682%2C95344190%2C31088698%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGslvlC2nlvdW5tvxb3l2CkyGfTPJkD3eEgesD4FxlbgmO2XCUaz03SwRRdcqUZIr6-_XvOGoExV6xQLebhEGSZx2BO3l%2CAOrYGsl4_WbRirXcADdrupj53ILuDNRZGVUGhcsV42GSs3LMaveMzM81j4e3WBbrkkiGNwi01tEbreVjSYQZOQ%2CAOrYGsmDd1jOdixLvgVF-Sh5pUWFuNEl4rZrOkfe6k3syNKS9YLbI5M_UxcKgzUdmOrGtBNBcTqRAHDyCXnriw&amp;pvsid=590262024395501&amp;tmod=1114558793&amp;uas=0&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1856%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C1707%2C791&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.8&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=11&amp;uci=a!b&amp;btvi=5&amp;fsb=1&amp;dtd=2079\" 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=\"CJ3fwpjozIkDFSpRuAQdV0oiqQ\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p><\/ins><\/div>\n<p><b><span>05\u00a0<\/span><\/b><b><span>\u2013<\/span><\/b><b><span>\u00a0the multiplication factor is n=10 \u2014 I=ni\u00a0<\/span><\/b><sub><b><span>G<\/span><\/b><\/sub><b><span>\u00a0\u00a0 \u2014 I=10.I\u00a0<\/span><\/b><sub><b><span>G<\/span><\/b><\/sub><b><span>\u00a0\u00a0 \u2014\u00a0\u00a0<\/span><\/b><b><span>\u00a0i\u00a0<\/span><\/b><sub><b><span>G<\/span><\/b><\/sub><b><span>\u00a0=I\/10\u00a0<\/span><\/b><span><b>\u2014\u00a0\u00a0<\/b><b>\u00a0n=1 + R\u00a0<\/b><sub><b>G<\/b><\/sub><b>\u00a0\/R\u00a0<\/b><sub><b>S<\/b><\/sub><b>\u00a0\u00a0 \u2014 10=1 + R\u00a0<\/b><sub><b>G<\/b><\/sub><b>\u00a0\/R\u00a0<\/b><sub><b>S\u00a0<\/b><\/sub><b>\u00a0\u00a0\u2014\u00a0\u00a0\u00a0<\/b><b>R\u00a0<\/b><sub><b>S<\/b><\/sub><b>\u00a0=R\u00a0<\/b><sub><b>G<\/b><\/sub><b>\u00a0\/9 \u2014\u00a0<\/b><\/span><b>\u00a0\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><\/p>\n<p><b><span>R-B<\/span><\/b><\/p>\n<p><b><span>06-<\/span><\/b><span><b>\u00a0U=R\u00a0<\/b><sub><b>G<\/b><\/sub><b>\u00a0.i + R\u00a0<\/b><sub><b>M<\/b><\/sub><b>\u00a0.i \u2014 10=0.5.10\u00a0<\/b><sup><b>-3<\/b><\/sup><b>\u00a0\u00a0+ R\u00a0<\/b><sub><b>M<\/b><\/sub><b>\u00a0.10\u00a0<\/b><sup><b>-3\u00a0<\/b><\/sup><b>\u00a0(\/10\u00a0<\/b><sup><b>-3<\/b><\/sup><b>\u00a0) \u2014 10\u00a0<\/b><sup><b>4<\/b><\/sup><b>\u00a0=0.5 + R\u00a0<\/b><sub><b>M<\/b><\/sub><b>\u00a0\u00a0 \u2014\u00a0\u00a0\u00a0<\/b><b>R\u00a0<\/b><sub><b>M<\/b><\/sub><b>\u00a0\u224810\u00a0<\/b><sup><b>4<\/b><\/sup><b>\u00a0\u03a9 in series with the galvanometer<\/b><\/span><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><\/b><b><\/b><\/p>\n<p><b><span>07-<\/span><\/b><span><b>\u00a0U=U\u00a0<\/b><sub><b>G<\/b><\/sub><b>\u00a0\u00a0+ U\u00a0<\/b><sub><b>M1<\/b><\/sub><b>\u00a0\u00a0 \u2014 1=100.10\u00a0<\/b><sup><b>-4<\/b><\/sup><b>\u00a0\u00a0+ R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0.10\u00a0<\/b><sup><b>-4<\/b><\/sup><b>\u00a0\u00a0(\/10\u00a0<\/b><sup><b>-4<\/b><\/sup><b>\u00a0) \u2014 10\u00a0<\/b><sup><b>4<\/b><\/sup><b>\u00a0= 100 + R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0 \u2014 R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=10,000 \u2013 100 \u2014 R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=9,900\u03a9 \u2014 R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=9.9.10\u00a0<\/b><sup><b>3<\/b><\/sup><b>\u00a0\u03a9 \u2014\u00a0<\/b><\/span><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><\/b><b><\/b><b><\/b><b><\/b><b><\/b><\/p>\n<p><b><span>U\u00a0<\/span><\/b><sub><b><span>R2<\/span><\/b><\/sub><b><span>\u00a0=10 \u2013 1=9V \u2014 R\u00a0<\/span><\/b><sub><b><span>2<\/span><\/b><\/sub><b><span>\u00a0=U\u00a0<\/span><\/b><sub><b><span>R2<\/span><\/b><\/sub><b><span>\u00a0\/i=9\/10\u00a0<\/span><\/b><sup><b><span>-4<\/span><\/b><\/sup><b><span>\u00a0\u00a0 \u2014 R\u00a0<\/span><\/b><sub><b><span>2<\/span><\/b><\/sub><b><span>\u00a0=9.10\u00a0<\/span><\/b><sup><b><span>4<\/span><\/b><\/sup><b><span>\u00a0\u03a9 \u2014 U\u00a0<\/span><\/b><sub><b><span>R3<\/span><\/b><\/sub><b><span>\u00a0=100 \u2013 10=90V \u2014 R\u00a0<\/span><\/b><sub><b><span>3<\/span><\/b><\/sub><b><span>\u00a0=U\u00a0<\/span><\/b><sub><b><span>R3<\/span><\/b><\/sub><b><span>\u00a0\/i=90\/10\u00a0<\/span><\/b><sup><b><span>-4<\/span><\/b><\/sup><b><span>\u00a0\u00a0 \u2014 R\u00a0<\/span><\/b><sub><b><span>3<\/span><\/b><\/sub><b><span>\u00a0=9.10\u00a0<\/span><\/b><sup><b><span>5<\/span><\/b><\/sup><b><span>\u00a0\u03a9 \u2014<\/span><\/b><\/p>\n<p><b><span>R-C<\/span><\/b><\/p>\n<p><b><span>08-<\/span><\/b><span><b>\u00a0I=i\u00a0<\/b><sub><b>G<\/b><\/sub><b>\u00a0(1 + R\u00a0<\/b><sub><b>g<\/b><\/sub><b>\u00a0\/R\u00a0<\/b><sub><b>S<\/b><\/sub><b>\u00a0) \u2014 4.5=3(1 + R\u00a0<\/b><sub><b>G<\/b><\/sub><b>\u00a0\/R\u00a0<\/b><sub><b>S<\/b><\/sub><b>\u00a0) \u2014 4.5=3 + 4.5\/R\u00a0<\/b><sub><b>S\u00a0<\/b><\/sub><b>\u00a0\u00a0\u2014 r=R\u00a0<\/b><sub><b>S<\/b><\/sub><b>\u00a0=3 ,0\u03a9 \u2014\u00a0\u00a0\u00a0<\/b><b>R-B<\/b><\/span><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><\/p>\n<div class=\"google-auto-placed ap_container\"><ins class=\"adsbygoogle adsbygoogle-noablate\" data-ad-format=\"auto\" data-ad-client=\"ca-pub-4904230854272924\" data-adsbygoogle-status=\"done\" data-ad-status=\"unfilled\"><\/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=919725261&amp;adf=1783022957&amp;w=890&amp;abgtt=7&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731071587&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%2Fgalvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=890&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731071585258&amp;bpp=1&amp;bdt=3415&amp;idt=-M&amp;shv=r20241106&amp;mjsv=m202410310101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731071584%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731071584%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280%2C890x280&amp;nras=4&amp;correlator=5263964421100&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=0.8&amp;dmc=4&amp;adx=199&amp;ady=2165&amp;biw=1686&amp;bih=791&amp;scr_x=0&amp;scr_y=0&amp;eid=44759875%2C44759926%2C95346096%2C95332925%2C95343682%2C95344190%2C31088698%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGslvlC2nlvdW5tvxb3l2CkyGfTPJkD3eEgesD4FxlbgmO2XCUaz03SwRRdcqUZIr6-_XvOGoExV6xQLebhEGSZx2BO3l%2CAOrYGsl4_WbRirXcADdrupj53ILuDNRZGVUGhcsV42GSs3LMaveMzM81j4e3WBbrkkiGNwi01tEbreVjSYQZOQ%2CAOrYGsmDd1jOdixLvgVF-Sh5pUWFuNEl4rZrOkfe6k3syNKS9YLbI5M_UxcKgzUdmOrGtBNBcTqRAHDyCXnriw&amp;pvsid=590262024395501&amp;tmod=1114558793&amp;uas=0&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1856%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C1707%2C791&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.8&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=12&amp;uci=a!c&amp;btvi=6&amp;fsb=1&amp;dtd=2145\" name=\"aswift_11\" width=\"890\" height=\"280\" 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-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p><\/ins><\/div>\n<p><b><span>09-<\/span><\/b><span><b>\u00a0Fan\u00a0\u00a0<\/b><b>C\u00a0<\/b><b>, as it is a Wheatstone bridge, does not pass electric current between points P and Q which are under the same potential difference, that is, V\u00a0<\/b><sub><b>P<\/b><\/sub><b>\u00a0= V\u00a0<\/b><sub><b>Q<\/b><\/sub><\/span><b>\u00a0<\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><\/p>\n<p><b><span>10-<\/span><\/b><span><b>\u00a0This is a Wheatstone bridge, with no electric current passing between points C and D, which are under the same potential difference, i.e. C\u00a0<\/b><sub><b>C<\/b><\/sub><b>\u00a0= V\u00a0<\/b><sub><b>D<\/b><\/sub><b>\u00a0\u00a0 \u2014\u00a0\u00a0\u00a0<\/b><b>R- C<\/b><\/span><b>\u00a0<\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><\/p>\n<p><b><span>11-<\/span><\/b><span><b>\u00a0When the galvanometer indicates zero, the bridge is in balance \u2014 150.R=300.(RR\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0)\/(R + R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0) \u2014 150R\u00a0<\/b><sup><b>2<\/b><\/sup><b>\u00a0\u00a0+ 150.RR\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=300R.R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0 \u2014 150R=150R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0 \u2014 R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=R \u2014\u00a0\u00a0<\/b><b>\u00a0R- B<\/b><\/span><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><\/p>\n<p><b><span>12-<\/span><\/b><span><b>\u00a0Length-resistance relationship \u2014 50\u03a9 \u2013 500mm \u2014 P\u03a9 \u2013 350mm \u2014 500P=50,350 \u2014 P=35\u03a9 \u2014 Q=50 \u2013 35 \u2014 Q=15\u03a9<\/b><\/span><b>\u00a0<\/b><b><\/b><\/p>\n<p align=\"CENTER\"><img decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletrcidade\/galvanometro\/i_8ed417d1c4afefad_html_e2d19bb4.jpg\" alt=\"\" width=\"305\" height=\"163\" name=\"Imagem 8\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>(R\u00a0<\/span><\/b><sub><b><span>2<\/span><\/b><\/sub><b><span>\u00a0\u00a0+ P).R\u00a0<\/span><\/b><sub><b><span>1<\/span><\/b><\/sub><b><span>\u00a0=QX \u2014 (30 + 15).210=35.X \u2014 X=270\u03a9 \u2014\u00a0\u00a0\u00a0<\/span><\/b><b><span>R- E<\/span><\/b><\/p>\n<div class=\"google-auto-placed ap_container\"><ins class=\"adsbygoogle adsbygoogle-noablate\" data-ad-format=\"auto\" data-ad-client=\"ca-pub-4904230854272924\" data-adsbygoogle-status=\"done\" data-ad-status=\"unfilled\"><\/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=919725261&amp;adf=264973173&amp;w=890&amp;abgtt=7&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731071587&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%2Fgalvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=890&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731071585258&amp;bpp=3&amp;bdt=3415&amp;idt=3&amp;shv=r20241106&amp;mjsv=m202410310101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731071584%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731071584%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280&amp;nras=5&amp;correlator=5263964421100&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=0.8&amp;dmc=4&amp;adx=199&amp;ady=2976&amp;biw=1686&amp;bih=791&amp;scr_x=0&amp;scr_y=0&amp;eid=44759875%2C44759926%2C95346096%2C95332925%2C95343682%2C95344190%2C31088698%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGslvlC2nlvdW5tvxb3l2CkyGfTPJkD3eEgesD4FxlbgmO2XCUaz03SwRRdcqUZIr6-_XvOGoExV6xQLebhEGSZx2BO3l%2CAOrYGsl4_WbRirXcADdrupj53ILuDNRZGVUGhcsV42GSs3LMaveMzM81j4e3WBbrkkiGNwi01tEbreVjSYQZOQ%2CAOrYGsmDd1jOdixLvgVF-Sh5pUWFuNEl4rZrOkfe6k3syNKS9YLbI5M_UxcKgzUdmOrGtBNBcTqRAHDyCXnriw&amp;pvsid=590262024395501&amp;tmod=1114558793&amp;uas=0&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1856%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C1707%2C791&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.8&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=13&amp;uci=a!d&amp;btvi=7&amp;fsb=1&amp;dtd=2201\" name=\"aswift_12\" width=\"890\" height=\"280\" 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-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p><\/ins><\/div>\n<p><b><span>13-<\/span><\/b><span><b>\u00a0a) R=R\u00a0<\/b><sub><b>o<\/b><\/sub><b>\u00a0(1 + \u03b1\u03b8) \u2014 108=100(1 + 4.10\u00a0<\/b><sup><b>-3<\/b><\/sup><b>\u00a0\u03b8) \u2014 1.08 \u2013 1=4.10\u00a0<\/b><sup><b>-3<\/b><\/sup><b>\u00a0\u03b8 \u2014 \u03b8=8.10\u00a0<\/b><sup><b>-2<\/b><\/sup><b>\u00a0\/4.10\u00a0<\/b><sup><b>-3<\/b><\/sup><b>\u00a0\u00a0 \u2014\u00a0\u00a0\u00a0<\/b><b>\u03b8=20\u00a0<\/b><sup><b>the<\/b><\/sup><b>\u00a0C<\/b><\/span><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><\/p>\n<p><b><span>b) RR\u00a0<\/span><\/b><sub><b><span>1<\/span><\/b><\/sub><b><span>\u00a0=R\u00a0<\/span><\/b><sub><b><span>1<\/span><\/b><\/sub><b><span>\u00a0.R\u00a0<\/span><\/b><sub><b><span>2<\/span><\/b><\/sub><b><span>\u00a0\u00a0 \u2014 R=R\u00a0<\/span><\/b><sub><b><span>2<\/span><\/b><\/sub><b><span>\u00a0=108\u03a9 \u2014 R=U\/i \u2014 108=U\/5.10\u00a0<\/span><\/b><sup><b><span>-3<\/span><\/b><\/sup><b><span>\u00a0\u00a0 \u2014 U=1,080.10\u00a0<\/span><\/b><sup><b><span>-3<\/span><\/b><\/sup><b><span>\u00a0\u00a0 \u2014\u00a0<\/span><\/b><b><span>\u00a0U=1.08V<\/span><\/b><\/p>\n<p><b><span>14-<\/span><\/b><span><b>\u00a0If the current in the galvanometer is zero, the current i\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0that passes through R\u00a0<\/b><sub><b>4<\/b><\/sub><b>\u00a0\u00a0is the same that passes through R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0and the current i\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0\u00a0is the same in R\u00a0<\/b><sub><b>3<\/b><\/sub><b>\u00a0\u00a0and R\u00a0<\/b><sub><b>4\u00a0<\/b><\/sub><b>\u00a0\u00a0\u2014 U\u00a0<\/b><sub><b>CA<\/b><\/sub><b>\u00a0= U\u00a0<\/b><sub><b>CB\u00a0<\/b><\/sub><b>\u00a0\u00a0\u2014 R\u00a0<\/b><sub><b>4<\/b><\/sub><b>\u00a0i\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0= R\u00a0<\/b><sub><b>3<\/b><\/sub><b>\u00a0i\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0\u00a0 \u2014 U\u00a0<\/b><sub><b>AD<\/b><\/sub><b>\u00a0= U\u00a0<\/b><sub><b>BD<\/b><\/sub><b>\u00a0\u00a0 \u2014 R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0i\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0= R\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0i\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0\u00a0 \u2014\u00a0\u00a0\u00a0<\/b><b>R- C<\/b><\/span><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><\/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><span>15-<\/span><\/b><span><b>\u00a0a) 3.2=1.X \u2014\u00a0\u00a0<\/b><b>\u00a0X=6\u03a9<\/b><\/span><b>\u00a0<\/b><b><\/b><b><\/b><\/p>\n<p><b><span>b) Observe the sequence below<\/span><\/b><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletrcidade\/galvanometro\/i_8ed417d1c4afefad_html_6b4a54f5.jpg\" alt=\"\" width=\"552\" height=\"168\" name=\"Imagem 9\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>R\u00a0<\/span><\/b><sub><b><span>eq<\/span><\/b><\/sub><b><span>\u00a0=8\/3\u03a9 \u2014 R\u00a0<\/span><\/b><sub><b><span>eq<\/span><\/b><\/sub><b><span>\u00a0=U\/i \u2014 8\/3=12\/i \u2014 i=36\/8 \u2014\u00a0\u00a0<\/span><\/b><b><span>\u00a0i=4.5A<\/span><\/b><\/p>\n<div class=\"google-auto-placed ap_container\"><ins class=\"adsbygoogle adsbygoogle-noablate\" data-ad-format=\"auto\" data-ad-client=\"ca-pub-4904230854272924\" data-adsbygoogle-status=\"done\" data-ad-status=\"unfilled\"><\/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=919725261&amp;adf=2424007704&amp;w=890&amp;abgtt=7&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731071617&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%2Fgalvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=890&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731071585385&amp;bpp=2&amp;bdt=3543&amp;idt=2&amp;shv=r20241106&amp;mjsv=m202410310101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731071584%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731071584%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280%2C890x280%2C1686x791%2C1005x124%2C300x600&amp;nras=8&amp;correlator=5263964421100&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=0.8&amp;dmc=4&amp;adx=199&amp;ady=3500&amp;biw=1686&amp;bih=791&amp;scr_x=0&amp;scr_y=364&amp;eid=44759875%2C44759926%2C95346096%2C95332925%2C95343682%2C95344190%2C31088698%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGslvlC2nlvdW5tvxb3l2CkyGfTPJkD3eEgesD4FxlbgmO2XCUaz03SwRRdcqUZIr6-_XvOGoExV6xQLebhEGSZx2BO3l%2CAOrYGsl4_WbRirXcADdrupj53ILuDNRZGVUGhcsV42GSs3LMaveMzM81j4e3WBbrkkiGNwi01tEbreVjSYQZOQ%2CAOrYGsmDd1jOdixLvgVF-Sh5pUWFuNEl4rZrOkfe6k3syNKS9YLbI5M_UxcKgzUdmOrGtBNBcTqRAHDyCXnriw%2CAOrYGsmhmt3fNqb6y_2GoEDOYiX8MH5OoDrQgNragYmkUioWdQATXEf-pvWLDoJToO66SLphGZ73RHOreYgYFnFZW1mTXgleyelHfA9jplKvJGUN8RYYGw%2CAOrYGskh2W4ypPcJ0LWlotCuwm0FpLvPtO36YTDgVulJtQ_tiWY8rAcrzC_ffGBj4Khu-KEjtEspymmpMKnetg&amp;pvsid=590262024395501&amp;tmod=1114558793&amp;uas=3&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1856%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C1707%2C791&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.8&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=14&amp;uci=a!e&amp;btvi=10&amp;fsb=1&amp;dtd=32158\" 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=\"CJzU9qbozIkDFblcuAQdRwEL2g\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p><\/ins><\/div>\n<p><b><span>16-<\/span><\/b><span><b>\u00a0L\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0.(200 parallel with 200)=L\u00a0<\/b><sub><b>2<\/b><\/sub><b>\u00a0.R\u00a0<\/b><sub><b>X<\/b><\/sub><b>\u00a0\u00a0 \u2014 20,100=50.R\u00a0<\/b><sub><b>X<\/b><\/sub><b>\u00a0\u00a0 \u2014\u00a0\u00a0\u00a0<\/b><b>R\u00a0<\/b><sub><b>X<\/b><\/sub><b>\u00a0=40\u03a9<\/b><\/span><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><\/p>\n<p><b><span>17-<\/span><\/b><span><b>\u00a0a) Assuming the ammeter and\u00a0<\/b><b><a class=\"google-anno\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone\/#\" data-google-vignette=\"false\" data-google-interstitial=\"false\"><span class=\"google-anno-t\">voltmeter<\/span><\/a><\/b><b>\u00a0are ideal \u2014 removing the voltmeter and short-circuiting the ammeter \u2014 figure below \u2014\u00a0<\/b><\/span><b>\u00a0<\/b><b><a class=\"google-anno\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone\/#\" data-google-vignette=\"false\" data-google-interstitial=\"false\">\u00a0<\/a><\/b><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletrcidade\/galvanometro\/i_8ed417d1c4afefad_html_3d9ea666.jpg\" alt=\"\" width=\"733\" height=\"161\" name=\"Imagem 10\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>The ammeter indicates i=5.0.10\u00a0<\/span><\/b><sup><b><span>-3<\/span><\/b><\/sup><b><span>\u00a0A<\/span><\/b><\/p>\n<div class=\"google-auto-placed ap_container\"><ins class=\"adsbygoogle adsbygoogle-noablate\" data-ad-format=\"auto\" data-ad-client=\"ca-pub-4904230854272924\" data-adsbygoogle-status=\"done\" data-ad-status=\"unfilled\"><\/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=919725261&amp;adf=2427770393&amp;w=890&amp;abgtt=7&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731071618&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%2Fgalvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=890&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731071585402&amp;bpp=2&amp;bdt=3560&amp;idt=2&amp;shv=r20241106&amp;mjsv=m202410310101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731071584%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731071584%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280%2C890x280%2C1686x791%2C1005x124%2C300x600%2C890x280%2C300x600%2C890x280&amp;nras=10&amp;correlator=5263964421100&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=0.8&amp;dmc=4&amp;adx=199&amp;ady=3835&amp;biw=1686&amp;bih=791&amp;scr_x=0&amp;scr_y=1454&amp;eid=44759875%2C44759926%2C95346096%2C95332925%2C95343682%2C95344190%2C31088698%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGslvlC2nlvdW5tvxb3l2CkyGfTPJkD3eEgesD4FxlbgmO2XCUaz03SwRRdcqUZIr6-_XvOGoExV6xQLebhEGSZx2BO3l%2CAOrYGsl4_WbRirXcADdrupj53ILuDNRZGVUGhcsV42GSs3LMaveMzM81j4e3WBbrkkiGNwi01tEbreVjSYQZOQ%2CAOrYGsmDd1jOdixLvgVF-Sh5pUWFuNEl4rZrOkfe6k3syNKS9YLbI5M_UxcKgzUdmOrGtBNBcTqRAHDyCXnriw%2CAOrYGsmhmt3fNqb6y_2GoEDOYiX8MH5OoDrQgNragYmkUioWdQATXEf-pvWLDoJToO66SLphGZ73RHOreYgYFnFZW1mTXgleyelHfA9jplKvJGUN8RYYGw%2CAOrYGskh2W4ypPcJ0LWlotCuwm0FpLvPtO36YTDgVulJtQ_tiWY8rAcrzC_ffGBj4Khu-KEjtEspymmpMKnetg&amp;pvsid=590262024395501&amp;tmod=1114558793&amp;uas=3&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1856%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C1707%2C791&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;cms=2&amp;fu=128&amp;bc=31&amp;bz=0.8&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=33175\" 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=\"CNnSuafozIkDFWFQuAQduqsNRg\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p><\/ins><\/div>\n<p><b><span>b) Voltage that the generator supplies to the circuit \u2014 U=E \u2013 ri=10 \u2013 500.0.005 \u2014 U=7.5V \u2014 see the diagram below \u2014\u00a0<\/span><\/b><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletrcidade\/galvanometro\/i_8ed417d1c4afefad_html_f3fe447c.jpg\" alt=\"\" width=\"384\" height=\"166\" name=\"Imagem 11\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>U\u00a0<\/span><\/b><sub><b><span>AB<\/span><\/b><\/sub><b><span>\u00a0=V\u00a0<\/span><\/b><sub><b><span>A<\/span><\/b><\/sub><b><span>\u00a0\u00a0\u2013 V\u00a0<\/span><\/b><sub><b><span>B<\/span><\/b><\/sub><b><span>\u00a0=1.000\u00d70.0025 \u2014 V\u00a0<\/span><\/b><sub><b><span>A<\/span><\/b><\/sub><b><span>\u00a0\u00a0\u2013 V\u00a0<\/span><\/b><sub><b><span>B<\/span><\/b><\/sub><b><span>\u00a0=2.5V \u2014 V\u00a0<\/span><\/b><sub><b><span>B<\/span><\/b><\/sub><b><span>\u00a0=V\u00a0<\/span><\/b><sub><b><span>A<\/span><\/b><\/sub><b><span>\u00a0\u00a0\u2013 2.5 \u2014 U\u00a0<\/span><\/b><sub><b><span>AD<\/span><\/b><\/sub><b><span>\u00a0=V\u00a0<\/span><\/b><sub><b><span>A<\/span><\/b><\/sub><b><span>\u00a0\u00a0\u2013 V\u00a0<\/span><\/b><sub><b><span>D<\/span><\/b><\/sub><b><span>\u00a0=2.000\u00d70.0025 \u2014 V\u00a0<\/span><\/b><sub><b><span>A<\/span><\/b><\/sub><b><span>\u00a0\u00a0\u2013 V\u00a0<\/span><\/b><sub><b><span>D<\/span><\/b><\/sub><b><span>\u00a0=5V \u2014\u00a0<\/span><\/b><\/p>\n<div class=\"google-auto-placed ap_container\"><ins class=\"adsbygoogle adsbygoogle-noablate\" data-ad-format=\"auto\" data-ad-client=\"ca-pub-4904230854272924\" data-adsbygoogle-status=\"done\" data-ad-status=\"unfilled\"><\/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=919725261&amp;adf=2036529571&amp;w=890&amp;abgtt=7&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731071618&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%2Fgalvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=890&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731071585417&amp;bpp=2&amp;bdt=3574&amp;idt=2&amp;shv=r20241106&amp;mjsv=m202410310101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731071584%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731071584%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280%2C890x280%2C1686x791%2C1005x124%2C300x600%2C890x280%2C300x600&amp;nras=9&amp;correlator=5263964421100&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=0.8&amp;dmc=4&amp;adx=199&amp;ady=4416&amp;biw=1686&amp;bih=791&amp;scr_x=0&amp;scr_y=1454&amp;eid=44759875%2C44759926%2C95346096%2C95332925%2C95343682%2C95344190%2C31088698%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGslvlC2nlvdW5tvxb3l2CkyGfTPJkD3eEgesD4FxlbgmO2XCUaz03SwRRdcqUZIr6-_XvOGoExV6xQLebhEGSZx2BO3l%2CAOrYGsl4_WbRirXcADdrupj53ILuDNRZGVUGhcsV42GSs3LMaveMzM81j4e3WBbrkkiGNwi01tEbreVjSYQZOQ%2CAOrYGsmDd1jOdixLvgVF-Sh5pUWFuNEl4rZrOkfe6k3syNKS9YLbI5M_UxcKgzUdmOrGtBNBcTqRAHDyCXnriw%2CAOrYGsmhmt3fNqb6y_2GoEDOYiX8MH5OoDrQgNragYmkUioWdQATXEf-pvWLDoJToO66SLphGZ73RHOreYgYFnFZW1mTXgleyelHfA9jplKvJGUN8RYYGw%2CAOrYGskh2W4ypPcJ0LWlotCuwm0FpLvPtO36YTDgVulJtQ_tiWY8rAcrzC_ffGBj4Khu-KEjtEspymmpMKnetg&amp;pvsid=590262024395501&amp;tmod=1114558793&amp;uas=3&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1856%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C1707%2C791&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.8&amp;td=1&amp;tdf=0&amp;psd=W251bGwsbnVsbCxudWxsLDNd&amp;nt=1&amp;ifi=16&amp;uci=a!g&amp;btvi=12&amp;fsb=1&amp;dtd=33086\" 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=\"CLXiuKfozIkDFb1cuAQdA-gOHA\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p><\/ins><\/div>\n<p><b><span>V\u00a0<\/span><\/b><sub><b><span>D<\/span><\/b><\/sub><b><span>\u00a0= V\u00a0<\/span><\/b><sub><b><span>A<\/span><\/b><\/sub><b><span>\u00a0\u00a0\u2013 5 \u2014 as the voltmeter is inserted between points B and D, U\u00a0<\/span><\/b><sub><b><span>BD<\/span><\/b><\/sub><b><span>\u00a0is of interest \u00a0 \u2014 U\u00a0<\/span><\/b><sub><b><span>BD<\/span><\/b><\/sub><b><span>\u00a0= V\u00a0<\/span><\/b><sub><b><span>B<\/span><\/b><\/sub><b><span>\u00a0\u00a0\u2013 V\u00a0<\/span><\/b><sub><b><span>D<\/span><\/b><\/sub><b><span>\u00a0=(V\u00a0<\/span><\/b><sub><b><span>A<\/span><\/b><\/sub><b><span>\u00a0\u00a0\u2013 2.5) \u2013 (V\u00a0<\/span><\/b><sub><b><span>A<\/span><\/b><\/sub><b><span>\u00a0\u00a0\u2013 5) \u2014\u00a0<\/span><\/b><\/p>\n<p><b><span>U\u00a0<\/span><\/b><sub><b><span>BD<\/span><\/b><\/sub><b><span>\u00a0=V\u00a0<\/span><\/b><sub><b><span>A<\/span><\/b><\/sub><b><span>\u00a0\u00a0\u2013 2.5 \u2013 V\u00a0<\/span><\/b><sub><b><span>A<\/span><\/b><\/sub><b><span>\u00a0\u00a0+ 5 \u2014 U\u00a0<\/span><\/b><sub><b><span>BD<\/span><\/b><\/sub><b><span>\u00a0=2.5V \u2014\u00a0\u00a0<\/span><\/b><b><span>\u00a0the voltmeter indicates 2.5V<\/span><\/b><\/p>\n<p><b><span>18-<\/span><\/b><span><b>\u00a0If V\u00a0<\/b><sub><b>A<\/b><\/sub><b>\u00a0= V\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0\u00a0the ddp between points A and B of the circuit is zero and the Wheatstone bridge is in equilibrium \u2014 120.R = 90.60 \u2014\u00a0\u00a0\u00a0<\/b><b>R = 45\u03a9<\/b><\/span><b>\u00a0<\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><\/p>\n<p><b><span>19-<\/span><\/b><span><b>\u00a0Note that no current passes between C and D \u2014 the bridge is in balance \u2014 if U\u00a0<\/b><sub><b>AB<\/b><\/sub><b>\u00a0= 100V and U\u00a0<\/b><sub><b>AC<\/b><\/sub><b>\u00a0= 50V, U\u00a0<\/b><sub><b>DB<\/b><\/sub><b>\u00a0= 50V \u2014 see<\/b><\/span><b>\u00a0<\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><\/p>\n<p><b><span>diagram below<\/span><\/b><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletrcidade\/galvanometro\/i_8ed417d1c4afefad_html_a320b08d.jpg\" alt=\"\" width=\"407\" height=\"178\" name=\"Imagem 12\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>R- 50V<\/span><\/b><\/p>\n<div class=\"google-auto-placed ap_container\"><ins class=\"adsbygoogle adsbygoogle-noablate\" data-ad-format=\"auto\" data-ad-client=\"ca-pub-4904230854272924\" data-adsbygoogle-status=\"done\" data-ad-status=\"unfilled\"><\/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=919725261&amp;adf=2643178674&amp;w=890&amp;abgtt=7&amp;fwrn=4&amp;fwrnh=100&amp;lmt=1731071618&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%2Fgalvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2Fresolucao-comentada-dos-exercicios-de-vestibulares-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone%2F&amp;host=ca-host-pub-2644536267352236&amp;fwr=0&amp;pra=3&amp;rh=200&amp;rw=890&amp;rpe=1&amp;resp_fmts=3&amp;wgl=1&amp;fa=27&amp;uach=WyJXaW5kb3dzIiwiMTUuMC4wIiwieDg2IiwiIiwiMTIwLjAuNjA5OS43MiIsbnVsbCwwLG51bGwsIjY0IixbWyJOb3RfQSBCcmFuZCIsIjguMC4wLjAiXSxbIkNocm9taXVtIiwiMTIwLjAuNjA5OS43MiJdLFsiR29vZ2xlIENocm9tZSIsIjEyMC4wLjYwOTkuNzIiXV0sMF0.&amp;dt=1731071585488&amp;bpp=2&amp;bdt=3645&amp;idt=2&amp;shv=r20241106&amp;mjsv=m202410310101&amp;ptt=9&amp;saldr=aa&amp;abxe=1&amp;cookie=ID%3D2fc0e8f762635b59%3AT%3D1724070743%3ART%3D1731071584%3AS%3DALNI_MY5o0gCt1iJgGxp5gzyTHQ01LNs_Q&amp;eo_id_str=ID%3D1d14c7920cc7842b%3AT%3D1724070743%3ART%3D1731071584%3AS%3DAA-AfjaSoQ0jWyJl98idd6reyYjh&amp;prev_fmts=0x0%2C300x600%2C300x600%2C300x600%2C300x600%2C890x280%2C890x280%2C890x280%2C890x280%2C1686x791%2C1005x124%2C300x600%2C890x280%2C300x600%2C890x280%2C890x280%2C300x600&amp;nras=11&amp;correlator=5263964421100&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=0.8&amp;dmc=4&amp;adx=199&amp;ady=5244&amp;biw=1686&amp;bih=791&amp;scr_x=0&amp;scr_y=2100&amp;eid=44759875%2C44759926%2C95346096%2C95332925%2C95343682%2C95344190%2C31088698%2C31088457%2C95345967%2C95347174&amp;oid=2&amp;psts=AOrYGslvlC2nlvdW5tvxb3l2CkyGfTPJkD3eEgesD4FxlbgmO2XCUaz03SwRRdcqUZIr6-_XvOGoExV6xQLebhEGSZx2BO3l%2CAOrYGsl4_WbRirXcADdrupj53ILuDNRZGVUGhcsV42GSs3LMaveMzM81j4e3WBbrkkiGNwi01tEbreVjSYQZOQ%2CAOrYGsmDd1jOdixLvgVF-Sh5pUWFuNEl4rZrOkfe6k3syNKS9YLbI5M_UxcKgzUdmOrGtBNBcTqRAHDyCXnriw%2CAOrYGsmhmt3fNqb6y_2GoEDOYiX8MH5OoDrQgNragYmkUioWdQATXEf-pvWLDoJToO66SLphGZ73RHOreYgYFnFZW1mTXgleyelHfA9jplKvJGUN8RYYGw%2CAOrYGskh2W4ypPcJ0LWlotCuwm0FpLvPtO36YTDgVulJtQ_tiWY8rAcrzC_ffGBj4Khu-KEjtEspymmpMKnetg&amp;pvsid=590262024395501&amp;tmod=1114558793&amp;uas=3&amp;nvt=1&amp;ref=https%3A%2F%2Ffisicaevestibular.com.br%2Fnovo%2Fwp-admin%2Fpost.php%3Fpost%3D1856%26action%3Dedit&amp;fc=1408&amp;brdim=0%2C0%2C0%2C0%2C1366%2C0%2C1366%2C720%2C1707%2C791&amp;vis=1&amp;rsz=%7C%7Cs%7C&amp;abl=NS&amp;fu=128&amp;bc=31&amp;bz=0.8&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=33426\" 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=\"CNWCzqfozIkDFQBQuAQdgt8Z0A\" data-load-complete=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p><\/ins><\/div>\n<p><b><span>20-<\/span><\/b><span><b>\u00a0Note that this is a Wheatstone bridge that is in balance ( equal\u00a0<\/b><b><a class=\"google-anno\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone\/#\" data-google-vignette=\"false\" data-google-interstitial=\"false\"><span class=\"google-anno-t\">resistors<\/span><\/a><\/b><b>\u00a0) \u2014 points B and D have the same potential \u2014\u00a0\u00a0<\/b><b>\u00a0R- V\u00a0<\/b><sub><b>B<\/b><\/sub><b>\u00a0= 6V<\/b><\/span><b>\u00a0<\/b><b><a class=\"google-anno\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone\/resolucao-comentada-dos-exercicios-de-vestibulares-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone\/#\" data-google-vignette=\"false\" data-google-interstitial=\"false\">\u00a0<\/a><\/b><b><\/b><b><\/b><b><\/b><\/p>\n<p><b><span>21-<\/span><\/b><span><b>\u00a0If the galvanometer indicates zero, the bridge is in balance and the following relationship is always valid,\u00a0\u00a0<\/b><b>regardless of the voltage\u00a0<\/b><b>\u00a0\u00a0 \u2014\u00a0<\/b><\/span><b>\u00a0<\/b><b><\/b><b><\/b><b><\/b><\/p>\n<p><b><span>15.(10 + 5)=5.(20 + R) \u2014 225=100 + 5R \u2014 R=125\/5 \u2014 R=25\u03a9 \u2014\u00a0\u00a0\u00a0<\/span><\/b><b><span>R- A<\/span><\/b><\/p>\n<p><b><span>22-<\/span><\/b><span><b>\u00a0There are two bridges in balance \u2014 bridge where the ammeter A\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0is \u00a0 \u2014 20.20=10.R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0\u00a0 \u2014 R\u00a0<\/b><sub><b>1<\/b><\/sub><b>\u00a0=40\u03a9 \u2014 the circuit, then, is \u2014\u00a0<\/b><\/span><b>\u00a0<\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><b><\/b><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletrcidade\/galvanometro\/i_8ed417d1c4afefad_html_5940cdfa.jpg\" alt=\"\" width=\"768\" height=\"161\" name=\"graphics22\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>R-B<\/span><\/b><\/p>\n<p><b><span>23-(AFA)<\/span><\/b><\/p>\n<p><b><span>With the Ch switch closed, note that since the wires are ideal and the bulbs are identical (same resistance), bird III is<\/span><\/b><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/eletrcidade\/galvanometro\/i_8ed417d1c4afefad_html_acd3756f.jpg\" alt=\"\" width=\"377\" height=\"203\" name=\"Imagem 14\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><b><span>in a wire where no electric current passes (balanced Wheatstone bridge) \u2014 thus, no current will pass through birds II and IV, as the wires are ideal and there will be no potential difference between their legs \u2014 there is a potential difference between the legs of bird I and, through it, electric current will pass \u2014\u00a0\u00a0\u00a0<\/span><\/b><b><span>R-C<\/span><\/b><\/p>\n<h3><a title=\"Entrance exam exercises with commented resolution on Galvanometer as Ammeter and as Voltmeter \u2013 Wheatstone Bridge\" href=\"https:\/\/fisicaevestibular.com.br\/novo\/eletricidade\/eletrodinamica\/galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone\/exercicios-de-vestibulares-com-resolucao-comentada-sobre-galvanometro-como-amperimetro-e-como-voltimetro-ponte-de-wheatstone\/\"><span>Back to exercises<\/span><\/a><\/h3>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>WHEATSTONE BRIDGE \u2013 RESOLUTION Commented resolution of entrance exam exercises on\u00a0\u00a0 Galvanometer as Ammeter and as\u00a0\u00a0Voltmeter\u00a0\u2013 Wheatstone Bridge 01-\u00a0\u00a0The full-scale current (i\u00a0G\u00a0) of the galvanometer remains the same \u2014 what changes is the full-scale current (I) of the system (galvanometer + shunt resistance in parallel with it), which works as an ammeter, indicating a current greater than i\u00a0G\u00a0\u00a0 \u2014\u00a0\u00a0\u00a0R- B<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1853,"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-1856","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/1856","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=1856"}],"version-history":[{"count":4,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/1856\/revisions"}],"predecessor-version":[{"id":11320,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/1856\/revisions\/11320"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/1853"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=1856"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}