{"id":88545,"date":"2025-06-01T07:14:20","date_gmt":"2025-06-01T07:14:20","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=88545"},"modified":"2025-06-01T07:14:20","modified_gmt":"2025-06-01T07:14:20","slug":"the-sum-of-emfs-and-potential-differences-around-a-closed-loop-equals","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-sum-of-emfs-and-potential-differences-around-a-closed-loop-equals\/","title":{"rendered":"“The sum of emfs and potential differences around a closed loop equals"},"content":{"rendered":"

“The sum of emfs and potential differences around a closed loop equals zero” is a consequence of<\/p>\n

[amp_mcq option1=”Ohm’s law.” option2=”Conservation of charge.” option3=”Conservation of momentum.” option4=”Conservation of energy.” correct=”option4″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-2 – 2019<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nKirchhoff’s Voltage Law (KVL) states that the algebraic sum of the potential differences (voltages) around any closed loop in a circuit is zero. This law is a direct consequence of the principle of conservation of energy. As a unit charge traverses a closed loop and returns to its starting point, the net work done on it by the electric field (and thus the net change in potential energy) must be zero if no energy is gained or lost within the loop from non-electric sources (which is accounted for by EMFs).
\n<\/section>\n
\n– Kirchhoff’s Voltage Law (KVL) is mathematically expressed as $\\sum V = 0$ around any closed loop.
\n– KVL is based on the conservative nature of the electric field and the conservation of energy.
\n– Potential difference is defined as the change in potential energy per unit charge. Traversing a closed loop means returning to the initial potential, so the total change in potential (and potential energy) is zero.
\n<\/section>\n
\n– Ohm’s law ($V=IR$) is a specific relationship for a resistive component and is used *within* a loop analysis, but KVL is a fundamental principle for the loop itself.
\n– Conservation of charge is the basis for Kirchhoff’s Current Law (KCL), which deals with currents at a junction.
\n– Conservation of momentum is a principle applied in mechanics, not directly related to circuit laws in this manner.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

“The sum of emfs and potential differences around a closed loop equals zero” is a consequence of [amp_mcq option1=”Ohm’s law.” option2=”Conservation of charge.” option3=”Conservation of momentum.” option4=”Conservation of energy.” correct=”option4″] This question was previously asked in UPSC NDA-2 – 2019 Download PDFAttempt Online Kirchhoff’s Voltage Law (KVL) states that the algebraic sum of the potential … <\/p>\n

Detailed Solution“The sum of emfs and potential differences around a closed loop equals<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1094],"tags":[1119,1201,1128],"class_list":["post-88545","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-2","tag-1119","tag-electric-current","tag-physics","no-featured-image-padding"],"yoast_head":"\n"The sum of emfs and potential differences around a closed loop equals<\/title>\n<meta name=\"description\" content=\"Kirchhoff's Voltage Law (KVL) states that the algebraic sum of the potential differences (voltages) around any closed loop in a circuit is zero. This law is a direct consequence of the principle of conservation of energy. As a unit charge traverses a closed loop and returns to its starting point, the net work done on it by the electric field (and thus the net change in potential energy) must be zero if no energy is gained or lost within the loop from non-electric sources (which is accounted for by EMFs). - Kirchhoff's Voltage Law (KVL) is mathematically expressed as $sum V = 0$ around any closed loop. - KVL is based on the conservative nature of the electric field and the conservation of energy. - Potential difference is defined as the change in potential energy per unit charge. Traversing a closed loop means returning to the initial potential, so the total change in potential (and potential energy) is zero.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/the-sum-of-emfs-and-potential-differences-around-a-closed-loop-equals\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\""The sum of emfs and potential differences around a closed loop equals\" \/>\n<meta property=\"og:description\" content=\"Kirchhoff's Voltage Law (KVL) states that the algebraic sum of the potential differences (voltages) around any closed loop in a circuit is zero. This law is a direct consequence of the principle of conservation of energy. As a unit charge traverses a closed loop and returns to its starting point, the net work done on it by the electric field (and thus the net change in potential energy) must be zero if no energy is gained or lost within the loop from non-electric sources (which is accounted for by EMFs). - Kirchhoff's Voltage Law (KVL) is mathematically expressed as $sum V = 0$ around any closed loop. - KVL is based on the conservative nature of the electric field and the conservation of energy. - Potential difference is defined as the change in potential energy per unit charge. Traversing a closed loop means returning to the initial potential, so the total change in potential (and potential energy) is zero.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-sum-of-emfs-and-potential-differences-around-a-closed-loop-equals\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T07:14:20+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"\"The sum of emfs and potential differences around a closed loop equals","description":"Kirchhoff's Voltage Law (KVL) states that the algebraic sum of the potential differences (voltages) around any closed loop in a circuit is zero. This law is a direct consequence of the principle of conservation of energy. As a unit charge traverses a closed loop and returns to its starting point, the net work done on it by the electric field (and thus the net change in potential energy) must be zero if no energy is gained or lost within the loop from non-electric sources (which is accounted for by EMFs). - Kirchhoff's Voltage Law (KVL) is mathematically expressed as $sum V = 0$ around any closed loop. - KVL is based on the conservative nature of the electric field and the conservation of energy. - Potential difference is defined as the change in potential energy per unit charge. Traversing a closed loop means returning to the initial potential, so the total change in potential (and potential energy) is zero.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/the-sum-of-emfs-and-potential-differences-around-a-closed-loop-equals\/","og_locale":"en_US","og_type":"article","og_title":"\"The sum of emfs and potential differences around a closed loop equals","og_description":"Kirchhoff's Voltage Law (KVL) states that the algebraic sum of the potential differences (voltages) around any closed loop in a circuit is zero. This law is a direct consequence of the principle of conservation of energy. As a unit charge traverses a closed loop and returns to its starting point, the net work done on it by the electric field (and thus the net change in potential energy) must be zero if no energy is gained or lost within the loop from non-electric sources (which is accounted for by EMFs). - Kirchhoff's Voltage Law (KVL) is mathematically expressed as $sum V = 0$ around any closed loop. - KVL is based on the conservative nature of the electric field and the conservation of energy. - Potential difference is defined as the change in potential energy per unit charge. Traversing a closed loop means returning to the initial potential, so the total change in potential (and potential energy) is zero.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-sum-of-emfs-and-potential-differences-around-a-closed-loop-equals\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T07:14:20+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-sum-of-emfs-and-potential-differences-around-a-closed-loop-equals\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-sum-of-emfs-and-potential-differences-around-a-closed-loop-equals\/","name":"\"The sum of emfs and potential differences around a closed loop equals","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T07:14:20+00:00","dateModified":"2025-06-01T07:14:20+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Kirchhoff's Voltage Law (KVL) states that the algebraic sum of the potential differences (voltages) around any closed loop in a circuit is zero. 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