{"id":58737,"date":"2024-04-16T01:24:43","date_gmt":"2024-04-16T01:24:43","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=58737"},"modified":"2024-04-16T01:24:43","modified_gmt":"2024-04-16T01:24:43","slug":"the-time-constant-and-r-c-circuit-may-also-be-defined-as-the-time-during-which-the-charging-current-falls-to-______-percent-of-its-initial-maximum-value","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-time-constant-and-r-c-circuit-may-also-be-defined-as-the-time-during-which-the-charging-current-falls-to-______-percent-of-its-initial-maximum-value\/","title":{"rendered":"The time constant and R-C circuit may also be defined as the time during which the charging current falls to ______ percent of its initial maximum value,"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;37&#8243; option2=&#8221;42&#8243; option3=&#8221;63&#8243; option4=&#8221;73&#8243; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is C. 63%.<\/p>\n<p>The time constant of an RC circuit is the amount of time it takes for the current to reach 63% of its final value. This is because the current in an RC circuit is governed by the equation $I(t) = I_0(1 &#8211; e^{-t\/\\tau})$, where $I_0$ is the initial current, $t$ is the time, and $\\tau$ is the time constant. When $t = \\tau$, $I(t) = I_0(1 &#8211; e^{-1}) = 0.6321$, or 63.21% of $I_0$.<\/p>\n<p>Option A is incorrect because 37% is not the percentage of the initial maximum value that the charging current falls to after one time constant.<\/p>\n<p>Option B is incorrect because 42% is not the percentage of the initial maximum value that the charging current falls to after one time constant.<\/p>\n<p>Option D is incorrect because 73% is not the percentage of the initial maximum value that the charging current falls to after one time constant.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;37&#8243; option2=&#8221;42&#8243; option3=&#8221;63&#8243; option4=&#8221;73&#8243; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[971],"tags":[],"class_list":["post-58737","post","type-post","status-publish","format-standard","hentry","category-electrostatics","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The time constant and R-C circuit may also be defined as the time during which the charging current falls to ______ percent of its initial maximum value,<\/title>\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-time-constant-and-r-c-circuit-may-also-be-defined-as-the-time-during-which-the-charging-current-falls-to-______-percent-of-its-initial-maximum-value\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The time constant and R-C circuit may also be defined as the time during which the charging current falls to ______ percent of its initial maximum value,\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;37&#8243; 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