{"id":19044,"date":"2024-04-15T05:34:07","date_gmt":"2024-04-15T05:34:07","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=19044"},"modified":"2024-04-15T05:34:07","modified_gmt":"2024-04-15T05:34:07","slug":"the-total-impedance-of-a-series-rlc-circuit-a-is-minimum-at-the-resonant-frequency-b-always-increases-as-the-applied-frequency-increases-c-always-decreases-as-the-applied-frequency-increases-d-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-total-impedance-of-a-series-rlc-circuit-a-is-minimum-at-the-resonant-frequency-b-always-increases-as-the-applied-frequency-increases-c-always-decreases-as-the-applied-frequency-increases-d-is\/","title":{"rendered":"The total impedance of a series RLC circuit: A. is minimum at the resonant frequency B. always increases as the applied frequency increases C. always decreases as the applied frequency increases D. is maximum at the resonant frequency E. None of the above"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6abd4d754b582\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"true\">\r\n                    is minimum at the resonant frequency                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    always increases as the applied frequency increases                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    always decreases as the applied frequency increases                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    is maximum at the resonant frequency E. None of the above                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is: A. is minimum at the resonant frequency.<\/p>\n<p>The impedance of a series RLC circuit is given by the following equation:<\/p>\n<p>$Z = \\sqrt{R^2 + (X_L &#8211; X_C)^2}$<\/p>\n<p>where $R$ is the resistance, $X_L$ is the inductive reactance, and $X_C$ is the capacitive reactance.<\/p>\n<p>The inductive reactance is given by the following equation:<\/p>\n<p>$X_L = 2\\pi f L$<\/p>\n<p>where $f$ is the frequency and $L$ is the inductance.<\/p>\n<p>The capacitive reactance is given by the following equation:<\/p>\n<p>$X_C = \\frac{1}{2\\pi f C}$<\/p>\n<p>where $f$ is the frequency and $C$ is the capacitance.<\/p>\n<p>At the resonant frequency, the inductive reactance and the capacitive reactance are equal in magnitude but opposite in sign. This means that they cancel each other out, and the impedance of the circuit is equal to the resistance.<\/p>\n<p>Therefore, the total impedance of a series RLC circuit is minimum at the resonant frequency.<\/p>\n<p>Option B is incorrect because the impedance of a series RLC circuit does not always increase as the applied frequency increases. In fact, the impedance of a series RLC circuit is minimum at the resonant frequency, and it increases or decreases as the frequency moves away from the resonant frequency.<\/p>\n<p>Option C is incorrect because the impedance of a series RLC circuit does not always decrease as the applied frequency increases. <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div> <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> In fact, the impedance of a series RLC circuit is minimum at the resonant frequency, and it increases or decreases as the frequency moves away from the resonant frequency.<\/p>\n<p>Option D is incorrect because the total impedance of a series RLC circuit is minimum at the resonant frequency, not maximum.<\/p>\n<p>Option E is incorrect because the total impedance of a series RLC circuit is minimum at the resonant frequency.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Join Our Telegram Channel Subscribe on YouTube<\/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":[],"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 total impedance of a series RLC circuit: A. is minimum at the resonant frequency B. always increases as the applied frequency increases C. always decreases as the applied frequency increases D. is maximum at the resonant frequency E. 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