{"id":190225,"date":"2025-02-11T18:19:19","date_gmt":"2025-02-11T18:19:19","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=190225"},"modified":"2025-02-11T18:19:21","modified_gmt":"2025-02-11T18:19:21","slug":"the-sum-of-the-voltage-drops-in-a-series-circuit-equals-the","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/11\/the-sum-of-the-voltage-drops-in-a-series-circuit-equals-the\/","title":{"rendered":"The sum of the voltage drops in a series circuit equals the"},"content":{"rendered":"\n

The sum of the voltage drops in a series circuit equals the __<\/em><\/strong><\/em><\/strong>.<\/p>\n\n\n\n

a. Amperage
b. Resistance
c. Source voltage
d. Wattage<\/p>\n\n\n\n

The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Correct Answer: c. Source voltage<\/strong><\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

In a series circuit<\/strong>, the sum of the voltage drops across all the components (such as resistors, capacitors, or inductors) is always equal to the total source voltage<\/strong> provided by the power supply. This principle follows Kirchhoff’s Voltage Law (KVL)<\/strong>, which states:<\/p>\n\n\n\n

“The sum of the electromotive forces (emf) and the sum of voltage drops in a closed loop is equal to zero.”<\/em><\/p>\n\n\n\n

In simpler terms, the total voltage supplied by the battery or power source is distributed across the components in the circuit.<\/p>\n\n\n\n

How It Works:<\/strong><\/h4>\n\n\n\n
    \n
  1. Voltage Division<\/strong>: In a series circuit, each component has a certain resistance that causes a voltage drop. The voltage drop depends on the resistance and the current flowing through the circuit.<\/li>\n\n\n\n
  2. Current is Constant<\/strong>: Since it is a series circuit, the same current flows through all the components. However, the voltage drops vary according to each component’s resistance.<\/li>\n\n\n\n
  3. Mathematical Representation<\/strong>: Vsource=V1+V2+V3+…+VnV_{source} = V_1 + V_2 + V_3 + … + V_n where:\n
      \n
    • VsourceV_{source} is the total voltage supplied by the source,<\/li>\n\n\n\n
    • V1,V2,V3,…,VnV_1, V_2, V_3,…, V_n are the voltage drops across each component.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n

      Example:<\/strong><\/h4>\n\n\n\n

      If a 12V battery powers a series circuit with three resistors, and the voltage drops across the resistors are 3V, 4V, and 5V<\/strong>, then: 3V+4V+5V=12V3V + 4V + 5V = 12V<\/p>\n\n\n\n

      This confirms that the total voltage drop equals the source voltage.<\/p>\n\n\n\n

      Thus, in any series circuit, the sum of the voltage drops is always equal to the source voltage.<\/strong><\/p>\n\n\n\n

      \n\n\n\n

      Now, I’ll generate an image illustrating a series circuit with voltage drops across resistors.<\/p>\n\n\n\n

      Here is an educational diagram illustrating a series circuit with a battery and three resistors, showing voltage drops and Kirchhoff\u2019s Voltage Law in action. Let me know if you need any modifications or explanations!<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      The sum of the voltage drops in a series circuit equals the __. a. Amperageb. Resistancec. Source voltaged. Wattage The correct answer and explanation is: Correct Answer: c. Source voltage Explanation: In a series circuit, the sum of the voltage drops across all the components (such as resistors, capacitors, or inductors) is always equal to […]<\/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-190225","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/190225","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=190225"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/190225\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=190225"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=190225"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=190225"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}