{"id":26318,"date":"2025-06-19T12:23:12","date_gmt":"2025-06-19T12:23:12","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=26318"},"modified":"2025-06-19T12:23:14","modified_gmt":"2025-06-19T12:23:14","slug":"an-inductor-is-connected-to-an-ac-voltage-source","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/an-inductor-is-connected-to-an-ac-voltage-source\/","title":{"rendered":"An inductor is connected to an AC voltage source."},"content":{"rendered":"\n<p>An inductor is connected to an AC voltage source. Increasing the frequency of the source <strong>_<\/strong> the rms current through the inductor. a. decreases b. does not change c. increases<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer: a. decreases<\/strong><\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>An inductor in an alternating current (AC) circuit resists changes in current due to its property called inductive reactance. The inductive reactance XLX_LXL\u200b is given by the formula: XL=2\u03c0fLX_L = 2\\pi f LXL\u200b=2\u03c0fL<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>XLX_LXL\u200b is the inductive reactance (in ohms),<\/li>\n\n\n\n<li>fff is the frequency of the AC source (in hertz),<\/li>\n\n\n\n<li>LLL is the inductance of the inductor (in henries),<\/li>\n\n\n\n<li>\u03c0\\pi\u03c0 is approximately 3.1416.<\/li>\n<\/ul>\n\n\n\n<p>As seen in this equation, the inductive reactance increases directly with the frequency. When the frequency of the AC voltage source is increased, the value of XLX_LXL\u200b also increases.<\/p>\n\n\n\n<p>The current in an AC circuit that contains only an inductor is given by: Irms=VrmsXLI_{\\text{rms}} = \\frac{V_{\\text{rms}}}{X_L}Irms\u200b=XL\u200bVrms\u200b\u200b<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>IrmsI_{\\text{rms}}Irms\u200b is the root mean square current,<\/li>\n\n\n\n<li>VrmsV_{\\text{rms}}Vrms\u200b is the root mean square voltage,<\/li>\n\n\n\n<li>XLX_LXL\u200b is the inductive reactance.<\/li>\n<\/ul>\n\n\n\n<p>As XLX_LXL\u200b increases with frequency, and assuming the voltage VrmsV_{\\text{rms}}Vrms\u200b remains constant, the denominator of the equation becomes larger. As a result, the current IrmsI_{\\text{rms}}Irms\u200b becomes smaller.<\/p>\n\n\n\n<p>Therefore, increasing the frequency of the source causes the inductor to oppose the current more strongly. This leads to a <strong>decrease<\/strong> in the rms current flowing through the inductor.<\/p>\n\n\n\n<p>This behavior is a fundamental property of inductors in AC circuits and is important in the design of filters, transformers, and other electronic components. It also explains why inductors are used to block high-frequency signals while allowing low-frequency ones to pass.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"722\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-96.jpeg\" alt=\"\" class=\"wp-image-26320\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-96.jpeg 722w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-96-212x300.jpeg 212w\" sizes=\"auto, (max-width: 722px) 100vw, 722px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>An inductor is connected to an AC voltage source. Increasing the frequency of the source _ the rms current through the inductor. a. decreases b. does not change c. increases The Correct Answer and Explanation is: Correct Answer: a. decreases Explanation: An inductor in an alternating current (AC) circuit resists changes in current due to [&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-26318","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26318","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=26318"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26318\/revisions"}],"predecessor-version":[{"id":26321,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/26318\/revisions\/26321"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=26318"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=26318"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=26318"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}