{"id":41711,"date":"2025-06-28T10:20:04","date_gmt":"2025-06-28T10:20:04","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=41711"},"modified":"2025-06-28T10:20:05","modified_gmt":"2025-06-28T10:20:05","slug":"the-time-constant-for-a-series-rc-circuit-in-which-the-resistance-is-100000-ohms-and-the-capacitance-is-10uf-is","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/the-time-constant-for-a-series-rc-circuit-in-which-the-resistance-is-100000-ohms-and-the-capacitance-is-10uf-is\/","title":{"rendered":"The time constant for a series RC circuit in which the resistance is 100,000 ohms and the capacitance is 10uf is"},"content":{"rendered":"\n<p>The time constant for a series RC circuit in which the resistance is 100,000 ohms and the capacitance is 10uf is <\/p>\n\n\n\n<p>A. 1,000,000 sec. <\/p>\n\n\n\n<p>B. 10,000 sec. <\/p>\n\n\n\n<p>C. 10 sec. <\/p>\n\n\n\n<p>D. 1 sec.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is <strong>C. 10 sec<\/strong>.<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>The time constant (\u03c4) for a series RC (resistor-capacitor) circuit is calculated by multiplying the resistance (R) by the capacitance (C). The formula is:<\/p>\n\n\n\n<p>\u03c4=R\u00d7C\\tau = R \\times C<\/p>\n\n\n\n<p>where<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>RR is the resistance in ohms (\u03a9)<\/li>\n\n\n\n<li>CC is the capacitance in farads (F)<\/li>\n\n\n\n<li>\u03c4\\tau is the time constant in seconds (s)<\/li>\n<\/ul>\n\n\n\n<p>Given the values:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>R=100,000\u2009\u03a9R = 100,000 \\, \\Omega (100 kilo-ohms)<\/li>\n\n\n\n<li>C=10\u2009\u03bcF=10\u00d710\u22126\u2009F=0.00001\u2009FC = 10 \\, \\mu F = 10 \\times 10^{-6} \\, F = 0.00001 \\, F<\/li>\n<\/ul>\n\n\n\n<p>Calculate the time constant: \u03c4=100,000\u00d70.00001=1\\tau = 100,000 \\times 0.00001 = 1<\/p>\n\n\n\n<p>This equals 1 second, which matches option D. However, notice the calculation needs to be double-checked carefully.<\/p>\n\n\n\n<p>Recalculating: \u03c4=100,000\u2009\u03a9\u00d710\u00d710\u22126\u2009F=100,000\u00d70.00001=1\u2009second\\tau = 100,000 \\, \\Omega \\times 10 \\times 10^{-6} \\, F = 100,000 \\times 0.00001 = 1 \\, \\text{second}<\/p>\n\n\n\n<p>So the time constant is actually 1 second, corresponding to option D.<\/p>\n\n\n\n<p><strong>Final check:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>100,000 ohms = 105\u2009\u03a910^5 \\, \\Omega<\/li>\n\n\n\n<li>10 microfarads = 10\u00d710\u22126=10\u22125\u2009F10 \\times 10^{-6} = 10^{-5} \\, F<br>Multiply:<\/li>\n<\/ul>\n\n\n\n<p>105\u00d710\u22125=105\u22125=100=1\u2009second10^5 \\times 10^{-5} = 10^{5 &#8211; 5} = 10^0 = 1 \\, \\text{second}<\/p>\n\n\n\n<p>Therefore, the time constant is 1 second.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Summary:<\/strong> The time constant of a series RC circuit is the product of resistance and capacitance. When resistance is 100,000 ohms and capacitance is 10 microfarads, the time constant equals 1 second. This time constant describes how quickly the capacitor charges or discharges through the resistor. After one time constant, the voltage across the capacitor reaches approximately 63% of its final value. This property is important in timing circuits, filters, and signal processing applications. The 1-second time constant indicates a moderate speed of charging or discharging in this circuit.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The time constant for a series RC circuit in which the resistance is 100,000 ohms and the capacitance is 10uf is A. 1,000,000 sec. B. 10,000 sec. C. 10 sec. D. 1 sec. The correct answer and explanation is: The correct answer is C. 10 sec. Explanation: The time constant (\u03c4) for a series RC [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-41711","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41711","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=41711"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41711\/revisions"}],"predecessor-version":[{"id":41712,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41711\/revisions\/41712"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=41711"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=41711"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=41711"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}