{"id":19075,"date":"2024-04-15T05:34:32","date_gmt":"2024-04-15T05:34:32","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=19075"},"modified":"2024-04-15T05:34:32","modified_gmt":"2024-04-15T05:34:32","slug":"what-is-the-impedance-of-a-circuit-composed-of-a-100-ohm-resistor-connected-in-parallel-with-an-inductor-that-has-a-reactance-of-200-w-a-77-7-ohm-b-89-3-ohm-c-88-8-ohm-d-224-ohm-e-none-of-the-ab","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-impedance-of-a-circuit-composed-of-a-100-ohm-resistor-connected-in-parallel-with-an-inductor-that-has-a-reactance-of-200-w-a-77-7-ohm-b-89-3-ohm-c-88-8-ohm-d-224-ohm-e-none-of-the-ab\/","title":{"rendered":"What is the impedance of a circuit composed of a 100 ohm resistor connected in parallel with an inductor that has a reactance of 200 W? A. 77.7 ohm B. 89.3 ohm C. 88.8 ohm D. 224 ohm E. None of the above"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;77.7 ohm&#8221; option2=&#8221;89.3 ohm&#8221; option3=&#8221;88.8 ohm&#8221; option4=&#8221;224 ohm E. None of the above&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B) }89.3\\Omega}$.<\/p>\n<p>The impedance of a parallel circuit is given by the formula:<\/p>\n<p>$$Z = \\frac{R}{1+\\frac{X_L}{R}}$$<\/p>\n<p>where $R$ is the resistance, $X_L$ is the inductive reactance, and $Z$ is the impedance.<\/p>\n<p>In this case, $R=100\\Omega$ and $X_L=200\\Omega$. Substituting these values into the formula, we get:<\/p>\n<p>$$Z = \\frac{100\\Omega}{1+\\frac{200\\Omega}{100\\Omega}} = \\frac{100\\Omega}{3} = 89.3\\Omega$$<\/p>\n<p>Option A is incorrect because it is the impedance of a series circuit, not a parallel circuit. Option C is incorrect because it is the impedance of a purely resistive circuit, not a circuit with both resistance and reactance. Option D is incorrect because it is the impedance of a purely inductive circuit, not a circuit with both resistance and reactance. Option E is incorrect because it is not one of the possible answers.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;77.7 ohm&#8221; option2=&#8221;89.3 ohm&#8221; option3=&#8221;88.8 ohm&#8221; option4=&#8221;224 ohm E. None of the above&#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":[682],"tags":[],"class_list":["post-19075","post","type-post","status-publish","format-standard","hentry","category-electronic-principles","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>What is the impedance of a circuit composed of a 100 ohm resistor connected in parallel with an inductor that has a reactance of 200 W? A. 77.7 ohm B. 89.3 ohm C. 88.8 ohm D. 224 ohm E. 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A. 77.7 ohm B. 89.3 ohm C. 88.8 ohm D. 224 ohm E. None of the above","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\/what-is-the-impedance-of-a-circuit-composed-of-a-100-ohm-resistor-connected-in-parallel-with-an-inductor-that-has-a-reactance-of-200-w-a-77-7-ohm-b-89-3-ohm-c-88-8-ohm-d-224-ohm-e-none-of-the-ab\/","og_locale":"en_US","og_type":"article","og_title":"What is the impedance of a circuit composed of a 100 ohm resistor connected in parallel with an inductor that has a reactance of 200 W? A. 77.7 ohm B. 89.3 ohm C. 88.8 ohm D. 224 ohm E. None of the above","og_description":"[amp_mcq option1=&#8221;77.7 ohm&#8221; option2=&#8221;89.3 ohm&#8221; option3=&#8221;88.8 ohm&#8221; option4=&#8221;224 ohm E. 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