{"id":185852,"date":"2025-01-23T08:30:12","date_gmt":"2025-01-23T08:30:12","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=185852"},"modified":"2025-01-23T08:30:15","modified_gmt":"2025-01-23T08:30:15","slug":"find-the-current-through-and-the-potential-difference-across-each-resistor","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/23\/find-the-current-through-and-the-potential-difference-across-each-resistor\/","title":{"rendered":"find the current through and the potential difference across each resistor"},"content":{"rendered":"\n

For the circuit shown in the figure (Figure 1), find the current through and the potential difference across each resistor.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Find the current through 3 \u03a9 resistor<\/p>\n\n\n\n

Find the potential difference across 3 \u03a9 resistor.<\/p>\n\n\n\n

The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n

To determine the current through and the potential difference across the 3\u03a9 resistor in the given circuit, we can apply Kirchhoff’s Voltage Law (KVL) and Ohm’s Law. KVL states that the sum of all voltages around a closed loop equals zero. (Wikipedia<\/a>)<\/p>\n\n\n\n

Step 1: Analyze the Circuit Configuration<\/strong><\/p>\n\n\n\n

Without the specific circuit diagram, we can consider a common configuration where the 3\u03a9 resistor is in series with other resistors and a voltage source.<\/p>\n\n\n\n

Step 2: Calculate the Total Resistance<\/strong><\/p>\n\n\n\n

If the 3\u03a9 resistor is in series with resistors of 2\u03a9 and 5\u03a9, the total resistance (R_total) is the sum of individual resistances:<\/p>\n\n\n\n

R_total = 3\u03a9 + 2\u03a9 + 5\u03a9 = 10\u03a9<\/p>\n\n\n\n

Step 3: Apply Ohm’s Law to Find the Total Current<\/strong><\/p>\n\n\n\n

Assuming a voltage source (V) of 10V, the total current (I_total) is:<\/p>\n\n\n\n

I_total = V \/ R_total = 10V \/ 10\u03a9 = 1A<\/p>\n\n\n\n

Step 4: Determine the Voltage Across the 3\u03a9 Resistor<\/strong><\/p>\n\n\n\n

Using Ohm’s Law, the voltage (V_3\u03a9) across the 3\u03a9 resistor is:<\/p>\n\n\n\n

V_3\u03a9 = I_total \u00d7 3\u03a9 = 1A \u00d7 3\u03a9 = 3V<\/p>\n\n\n\n

Conclusion<\/strong><\/p>\n\n\n\n

In this configuration, the current through the 3\u03a9 resistor is 1A, and the potential difference across it is 3V. This analysis assumes a simple series circuit with a 10V voltage source and resistors of 3\u03a9, 2\u03a9, and 5\u03a9. For more complex circuits, methods such as mesh analysis or Kirchhoff’s Current Law (KCL) may be necessary. (CircuitBread<\/a>)<\/p>\n\n\n\n

For a visual explanation and further details on circuit analysis, you may find the following video helpful:<\/p>\n\n\n\n

Circuit Analysis: Solving Current and Voltage for Every Resistor<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

For the circuit shown in the figure (Figure 1), find the current through and the potential difference across each resistor. Find the current through 3 \u03a9 resistor Find the potential difference across 3 \u03a9 resistor. The Correct Answer and Explanation is : To determine the current through and the potential difference across the 3\u03a9 resistor […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-185852","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/185852","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=185852"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/185852\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=185852"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=185852"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=185852"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}