{"id":1464,"date":"2024-07-11T17:27:16","date_gmt":"2024-07-11T11:57:16","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=1464"},"modified":"2025-07-16T15:04:51","modified_gmt":"2025-07-16T09:34:51","slug":"quality-factor-meter","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ee\/electrical-electronic-measurements\/quality-factor-meter","title":{"rendered":"Quality Factor Meter (Q Meter)"},"content":{"rendered":"<p style=\"text-align: justify;\">A quality factor meter is an instrument which is used to measure the value of storage factor Q directly and measuring the characteristics of coils and capacitors. It is used in laboratories for testing radio frequency coils.<\/p>\n<h2 style=\"text-align: justify;\"><strong>Principle of Operation<br \/>\n<\/strong><\/h2>\n<p style=\"text-align: justify;\">\u2022 Q-meter works on the principle of series resonance.<br \/>\n\u2022 Figure given below shows a series RLC circuit.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1465 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/series-rlc-circuit.jpg\" alt=\"Series RLC circuit\" width=\"575\" height=\"274\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/series-rlc-circuit.jpg 575w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/series-rlc-circuit-300x143.jpg 300w\" sizes=\"auto, (max-width: 575px) 100vw, 575px\" \/><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1469 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/phaser-diagram.jpg\" alt=\"Phaser diagram\" width=\"612\" height=\"190\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/phaser-diagram.jpg 612w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/phaser-diagram-300x93.jpg 300w\" sizes=\"auto, (max-width: 612px) 100vw, 612px\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, if the input voltage is constant, voltage across the capacitor is magnified Q times and a voltmeter can be connected across the capacitor which can be calibrated to read the value of Q directly.<\/p>\n<p style=\"text-align: justify;\"><strong>Practical Circuit of Q-meter<br \/>\n<\/strong><br \/>\nBelow figure shows a practical Q-meter<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1470 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/practical-q-meter.jpg\" alt=\"Practical Q-meter\" width=\"441\" height=\"196\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/practical-q-meter.jpg 441w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/practical-q-meter-300x133.jpg 300w\" sizes=\"auto, (max-width: 441px) 100vw, 441px\" \/><\/p>\n<p style=\"text-align: justify;\">It consists of a variable radio frequency oscillator which delivers a current to a low shunt resistance, Rsh which is order of 0.02 \u2126 (typical value). The voltage is measured by a thermocouple voltmeter. A calibrated standard variable capacitor C is used for getting the series resonance condition. An electronic voltmeter is connected across this capacitor C. The coil under test is connected between the terminals T1 and T2.<\/p>\n<h3 style=\"text-align: justify;\"><strong>Applications of Q-meter<\/strong><\/h3>\n<p style=\"text-align: justify;\"><strong>1. Measurement of Quality Factor of Test Coil<\/strong><\/p>\n<p style=\"text-align: justify;\">The test coil is connected between terminals T1 and T2. The oscillator is set to the desired frequency and then, the capacitor, C is adjusted to get the series resonance condition.<\/p>\n<p style=\"text-align: justify;\">Let the coil resistance and inductance be R and L respectively,<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1471 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/measurement-of-quality-factor-of-test-coil.jpg\" alt=\" Measurement of Quality Factor of Test Coil\" width=\"468\" height=\"304\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/measurement-of-quality-factor-of-test-coil.jpg 468w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/measurement-of-quality-factor-of-test-coil-300x195.jpg 300w\" sizes=\"auto, (max-width: 468px) 100vw, 468px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Note:<\/strong><\/p>\n<p style=\"text-align: justify;\">To get minimum error, the shunt resistance should be very small. As Rsh of the order of m\u2126 therefore, QT \u2248 Qm.<br \/>\nTherefore, the true value of quality factor of the coil is obtained when Rsh is maintained in m\u2126 range (can be neglected).<\/p>\n<p style=\"text-align: justify;\"><strong>2. Measurement of Unknown Capacitance<br \/>\n<\/strong><\/p>\n<ul style=\"text-align: justify;\">\n<li>For measurement of unknown capacitance, the test capacitance CT is connected in parallel with the known value of the capacitance, C between the terminals T3 and T4.<\/li>\n<li>By adjusting the capacitor C to C1, the circuit is resonated to a frequency, f0.<sub><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1474 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/unknown-capacitance.jpg\" alt=\"Unknown Capacitance\" width=\"165\" height=\"47\" \/><\/sub><\/li>\n<li>Now, the test capacitance across <em>T<\/em><sub>3<\/sub> and <em>T<\/em><sub>4<\/sub> is removed and the capacitor <em>C <\/em>is readjusted to <em>C<\/em><sub>2<\/sub> to get the same value of resonant frequency<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><sub><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1476 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/measurement-of-unknown-capacitance.jpg\" alt=\" Measurement of Unknown Capacitance\" width=\"620\" height=\"128\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/measurement-of-unknown-capacitance.jpg 620w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/measurement-of-unknown-capacitance-300x62.jpg 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/sub><\/p>\n<p style=\"text-align: justify;\"><strong>3. Measurement of Unknown Inductance<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1478 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/frequencies.jpg\" alt=\"Frequencies\" width=\"542\" height=\"60\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/frequencies.jpg 542w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/frequencies-300x33.jpg 300w\" sizes=\"auto, (max-width: 542px) 100vw, 542px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>4. Measurement of Self Capacitance<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1480 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/test-coil.jpg\" alt=\"Test Coil\" width=\"703\" height=\"487\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/test-coil.jpg 703w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/test-coil-300x208.jpg 300w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/test-coil-392x272.jpg 392w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/test-coil-130x90.jpg 130w\" sizes=\"auto, (max-width: 703px) 100vw, 703px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>5. Measurement of Unknown Resistance<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1481 size-full aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/unknown-resistance.jpg\" alt=\"Unknown Resistance\" width=\"510\" height=\"77\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/unknown-resistance.jpg 510w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/unknown-resistance-300x45.jpg 300w\" sizes=\"auto, (max-width: 510px) 100vw, 510px\" \/><\/p>\n<p style=\"text-align: center;\"><a class=\"btn btn-danger\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ee\/electrical-electronic-measurements\/piezo-electric-transducers\/\" target=\"_blank\" rel=\"noopener\">&lt;&lt; Previous<\/a> | <a class=\"btn btn-success\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/subjects\/what-are-the-electrical-and-electronics-measurements\/\" target=\"_blank\" rel=\"noopener\"> Next &gt;&gt;<\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A quality factor meter is an instrument which is used to measure the value of storage factor Q directly and<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[389,5],"tags":[420,416,418,419,417],"class_list":["post-1464","post","type-post","status-publish","format-standard","hentry","category-electrical-electronic-measurements","category-ee","tag-applications-of-q-meter","tag-practical-q-meter","tag-quality-factor-of-test-coil","tag-test-coil","tag-voltmeter"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/1464","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=1464"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/1464\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=1464"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=1464"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=1464"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}