{"id":86302,"date":"2025-06-01T03:42:58","date_gmt":"2025-06-01T03:42:58","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=86302"},"modified":"2025-06-01T03:42:58","modified_gmt":"2025-06-01T03:42:58","slug":"an-electrical-circuit-having-combinations-of-resistances-and-capacitan","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/an-electrical-circuit-having-combinations-of-resistances-and-capacitan\/","title":{"rendered":"An electrical circuit having combinations of resistances and capacitan"},"content":{"rendered":"

An electrical circuit having combinations of resistances and capacitance is given below. The current, flowing through the circuit will be<\/p>\n

[amp_mcq option1=”1 A” option2=”2 A” option3=”1\u00b75 A” option4=”0\u00b75 A” correct=”option2″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CDS-2 – 2022<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe circuit consists of a 10V DC voltage source, a 10 ohm resistor, a 20 ohm resistor, and a 10 \u00b5F capacitor. We are asked for the current flowing through the circuit. In a DC circuit with a capacitor, after the capacitor has been fully charged (steady state), no current flows through the branch containing the capacitor.
\n<\/section>\n
\n– The diagram shows the 10 ohm resistor in series with a parallel combination.
\n– The parallel combination consists of two branches: one with the 20 ohm resistor and the capacitor in series, and another branch which appears to be a simple wire (zero resistance).
\n– In steady state DC, the capacitor acts as an open circuit, meaning the branch containing the 20 ohm resistor and capacitor has effectively infinite resistance to DC current flow.
\n– The other branch in parallel has zero resistance (a wire).
\n– Current always follows the path of least resistance. In parallel, a zero-resistance path effectively shorts out any parallel path with resistance. Thus, all the current passing through the 10 ohm resistor will flow through the wire branch, and no current will flow through the branch containing the 20 ohm resistor and capacitor in steady state.
\n– The equivalent resistance of the parallel combination is 0 ohms.
\n– The total resistance of the circuit is the sum of the series resistor and the equivalent parallel resistance: R_total = 10 ohms + 0 ohms = 10 ohms.
\n– The total current flowing from the battery is given by Ohm’s Law: I = V \/ R_total = 10V \/ 10 ohms = 1 A. This is the current flowing through the circuit from the battery.
\n<\/section>\n
\nThe 20 ohm resistor and the capacitor only influence the current flow during the transient phase when the capacitor is charging. Once the capacitor is fully charged in DC steady state, its branch becomes effectively open circuit, and the parallel wire branch carries all the current.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

An electrical circuit having combinations of resistances and capacitance is given below. The current, flowing through the circuit will be [amp_mcq option1=”1 A” option2=”2 A” option3=”1\u00b75 A” option4=”0\u00b75 A” correct=”option2″] This question was previously asked in UPSC CDS-2 – 2022 Download PDFAttempt Online The circuit consists of a 10V DC voltage source, a 10 ohm … <\/p>\n

Detailed SolutionAn electrical circuit having combinations of resistances and capacitan<\/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":[1088],"tags":[1108,1201,1128],"class_list":["post-86302","post","type-post","status-publish","format-standard","hentry","category-upsc-cds-2","tag-1108","tag-electric-current","tag-physics","no-featured-image-padding"],"yoast_head":"\nAn electrical circuit having combinations of resistances and capacitan<\/title>\n<meta name=\"description\" content=\"The circuit consists of a 10V DC voltage source, a 10 ohm resistor, a 20 ohm resistor, and a 10 \u00b5F capacitor. We are asked for the current flowing through the circuit. In a DC circuit with a capacitor, after the capacitor has been fully charged (steady state), no current flows through the branch containing the capacitor. - The diagram shows the 10 ohm resistor in series with a parallel combination. - The parallel combination consists of two branches: one with the 20 ohm resistor and the capacitor in series, and another branch which appears to be a simple wire (zero resistance). - In steady state DC, the capacitor acts as an open circuit, meaning the branch containing the 20 ohm resistor and capacitor has effectively infinite resistance to DC current flow. - The other branch in parallel has zero resistance (a wire). - Current always follows the path of least resistance. In parallel, a zero-resistance path effectively shorts out any parallel path with resistance. Thus, all the current passing through the 10 ohm resistor will flow through the wire branch, and no current will flow through the branch containing the 20 ohm resistor and capacitor in steady state. - The equivalent resistance of the parallel combination is 0 ohms. - The total resistance of the circuit is the sum of the series resistor and the equivalent parallel resistance: R_total = 10 ohms + 0 ohms = 10 ohms. - The total current flowing from the battery is given by Ohm's Law: I = V \/ R_total = 10V \/ 10 ohms = 1 A. This is the current flowing through the circuit from the battery.\" \/>\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\/an-electrical-circuit-having-combinations-of-resistances-and-capacitan\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"An electrical circuit having combinations of resistances and capacitan\" \/>\n<meta property=\"og:description\" content=\"The circuit consists of a 10V DC voltage source, a 10 ohm resistor, a 20 ohm resistor, and a 10 \u00b5F capacitor. We are asked for the current flowing through the circuit. In a DC circuit with a capacitor, after the capacitor has been fully charged (steady state), no current flows through the branch containing the capacitor. - The diagram shows the 10 ohm resistor in series with a parallel combination. - The parallel combination consists of two branches: one with the 20 ohm resistor and the capacitor in series, and another branch which appears to be a simple wire (zero resistance). - In steady state DC, the capacitor acts as an open circuit, meaning the branch containing the 20 ohm resistor and capacitor has effectively infinite resistance to DC current flow. - The other branch in parallel has zero resistance (a wire). - Current always follows the path of least resistance. In parallel, a zero-resistance path effectively shorts out any parallel path with resistance. Thus, all the current passing through the 10 ohm resistor will flow through the wire branch, and no current will flow through the branch containing the 20 ohm resistor and capacitor in steady state. - The equivalent resistance of the parallel combination is 0 ohms. - The total resistance of the circuit is the sum of the series resistor and the equivalent parallel resistance: R_total = 10 ohms + 0 ohms = 10 ohms. - The total current flowing from the battery is given by Ohm's Law: I = V \/ R_total = 10V \/ 10 ohms = 1 A. This is the current flowing through the circuit from the battery.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/an-electrical-circuit-having-combinations-of-resistances-and-capacitan\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T03:42:58+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=\"2 minutes\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"An electrical circuit having combinations of resistances and capacitan","description":"The circuit consists of a 10V DC voltage source, a 10 ohm resistor, a 20 ohm resistor, and a 10 \u00b5F capacitor. We are asked for the current flowing through the circuit. In a DC circuit with a capacitor, after the capacitor has been fully charged (steady state), no current flows through the branch containing the capacitor. - The diagram shows the 10 ohm resistor in series with a parallel combination. - The parallel combination consists of two branches: one with the 20 ohm resistor and the capacitor in series, and another branch which appears to be a simple wire (zero resistance). - In steady state DC, the capacitor acts as an open circuit, meaning the branch containing the 20 ohm resistor and capacitor has effectively infinite resistance to DC current flow. - The other branch in parallel has zero resistance (a wire). - Current always follows the path of least resistance. In parallel, a zero-resistance path effectively shorts out any parallel path with resistance. Thus, all the current passing through the 10 ohm resistor will flow through the wire branch, and no current will flow through the branch containing the 20 ohm resistor and capacitor in steady state. - The equivalent resistance of the parallel combination is 0 ohms. - The total resistance of the circuit is the sum of the series resistor and the equivalent parallel resistance: R_total = 10 ohms + 0 ohms = 10 ohms. - The total current flowing from the battery is given by Ohm's Law: I = V \/ R_total = 10V \/ 10 ohms = 1 A. This is the current flowing through the circuit from the battery.","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\/an-electrical-circuit-having-combinations-of-resistances-and-capacitan\/","og_locale":"en_US","og_type":"article","og_title":"An electrical circuit having combinations of resistances and capacitan","og_description":"The circuit consists of a 10V DC voltage source, a 10 ohm resistor, a 20 ohm resistor, and a 10 \u00b5F capacitor. We are asked for the current flowing through the circuit. In a DC circuit with a capacitor, after the capacitor has been fully charged (steady state), no current flows through the branch containing the capacitor. - The diagram shows the 10 ohm resistor in series with a parallel combination. - The parallel combination consists of two branches: one with the 20 ohm resistor and the capacitor in series, and another branch which appears to be a simple wire (zero resistance). - In steady state DC, the capacitor acts as an open circuit, meaning the branch containing the 20 ohm resistor and capacitor has effectively infinite resistance to DC current flow. - The other branch in parallel has zero resistance (a wire). - Current always follows the path of least resistance. In parallel, a zero-resistance path effectively shorts out any parallel path with resistance. Thus, all the current passing through the 10 ohm resistor will flow through the wire branch, and no current will flow through the branch containing the 20 ohm resistor and capacitor in steady state. - The equivalent resistance of the parallel combination is 0 ohms. - The total resistance of the circuit is the sum of the series resistor and the equivalent parallel resistance: R_total = 10 ohms + 0 ohms = 10 ohms. - The total current flowing from the battery is given by Ohm's Law: I = V \/ R_total = 10V \/ 10 ohms = 1 A. This is the current flowing through the circuit from the battery.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/an-electrical-circuit-having-combinations-of-resistances-and-capacitan\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T03:42:58+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/an-electrical-circuit-having-combinations-of-resistances-and-capacitan\/","url":"https:\/\/exam.pscnotes.com\/mcq\/an-electrical-circuit-having-combinations-of-resistances-and-capacitan\/","name":"An electrical circuit having combinations of resistances and capacitan","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T03:42:58+00:00","dateModified":"2025-06-01T03:42:58+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The circuit consists of a 10V DC voltage source, a 10 ohm resistor, a 20 ohm resistor, and a 10 \u00b5F capacitor. We are asked for the current flowing through the circuit. In a DC circuit with a capacitor, after the capacitor has been fully charged (steady state), no current flows through the branch containing the capacitor. - The diagram shows the 10 ohm resistor in series with a parallel combination. - The parallel combination consists of two branches: one with the 20 ohm resistor and the capacitor in series, and another branch which appears to be a simple wire (zero resistance). - In steady state DC, the capacitor acts as an open circuit, meaning the branch containing the 20 ohm resistor and capacitor has effectively infinite resistance to DC current flow. - The other branch in parallel has zero resistance (a wire). - Current always follows the path of least resistance. In parallel, a zero-resistance path effectively shorts out any parallel path with resistance. Thus, all the current passing through the 10 ohm resistor will flow through the wire branch, and no current will flow through the branch containing the 20 ohm resistor and capacitor in steady state. - The equivalent resistance of the parallel combination is 0 ohms. - The total resistance of the circuit is the sum of the series resistor and the equivalent parallel resistance: R_total = 10 ohms + 0 ohms = 10 ohms. - The total current flowing from the battery is given by Ohm's Law: I = V \/ R_total = 10V \/ 10 ohms = 1 A. This is the current flowing through the circuit from the battery.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/an-electrical-circuit-having-combinations-of-resistances-and-capacitan\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/an-electrical-circuit-having-combinations-of-resistances-and-capacitan\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/an-electrical-circuit-having-combinations-of-resistances-and-capacitan\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CDS-2","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-cds-2\/"},{"@type":"ListItem","position":3,"name":"An electrical circuit having combinations of resistances and capacitan"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/86302","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=86302"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/86302\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=86302"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=86302"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=86302"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}