{"id":50379,"date":"2024-04-15T23:09:26","date_gmt":"2024-04-15T23:09:26","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=50379"},"modified":"2024-04-15T23:09:26","modified_gmt":"2024-04-15T23:09:26","slug":"a-capacitor-having-capacitance-of-5-uf-is-charged-to-a-potential-difference-of-10000-v-the-energy-stored-in-the-capacitor-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-capacitor-having-capacitance-of-5-uf-is-charged-to-a-potential-difference-of-10000-v-the-energy-stored-in-the-capacitor-is\/","title":{"rendered":"A capacitor having capacitance of 5 uF is charged to a potential difference of 10,000 V. The energy stored in the capacitor is"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;50 joules&#8221; option2=&#8221;150 joules&#8221; option3=&#8221;200 joules&#8221; option4=&#8221;250 joules&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{C. 200 joules}}$.<\/p>\n<p>The energy stored in a capacitor is given by the equation:<\/p>\n<p>$$E = \\frac{1}{2}CV^2$$<\/p>\n<p>where $C$ is the capacitance in farads, $V$ is the potential difference in volts, and $E$ is the energy stored in joules.<\/p>\n<p>In this case, we are given that $C = 5 \\mu F$ and $V = 10,000 V$. Substituting these values into the equation, we get:<\/p>\n<p>$$E = \\frac{1}{2}(5 \\mu F)(10,000 V)^2 = 200 \\text{ joules}$$<\/p>\n<p>Therefore, the energy stored in the capacitor is 200 joules.<\/p>\n<p>Option A is incorrect because it is half the correct value. Option B is incorrect because it is twice the correct value. Option D is incorrect because it is four times the correct value.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;50 joules&#8221; option2=&#8221;150 joules&#8221; option3=&#8221;200 joules&#8221; option4=&#8221;250 joules&#8221; 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-50379","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>A capacitor having capacitance of 5 uF is charged to a potential difference of 10,000 V. 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The energy stored in the capacitor is","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\/a-capacitor-having-capacitance-of-5-uf-is-charged-to-a-potential-difference-of-10000-v-the-energy-stored-in-the-capacitor-is\/","og_locale":"en_US","og_type":"article","og_title":"A capacitor having capacitance of 5 uF is charged to a potential difference of 10,000 V. 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