{"id":1294,"date":"2024-07-10T15:43:14","date_gmt":"2024-07-10T10:13:14","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=1294"},"modified":"2025-07-16T15:03:54","modified_gmt":"2025-07-16T09:33:54","slug":"maxwells-inductance-bridge","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ee\/electrical-electronic-measurements\/maxwells-inductance-bridge","title":{"rendered":"Maxwell\u2019s Inductance Bridge"},"content":{"rendered":"<p style=\"text-align: justify;\">Maxwell\u2019s Inductance Bridge measures an inductance by comparison with a variable standard self inductance. The bridge circuit arrangement with the phasor diagram are shown below in figure.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1295 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/maxwell-bridge.jpg\" alt=\"Maxwell Bridge\" width=\"477\" height=\"271\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/maxwell-bridge.jpg 477w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/maxwell-bridge-300x170.jpg 300w\" sizes=\"auto, (max-width: 477px) 100vw, 477px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Under balance condition:<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1298 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/imaginary.jpg\" alt=\"Imaginary\" width=\"434\" height=\"192\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/imaginary.jpg 434w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/imaginary-300x133.jpg 300w\" sizes=\"auto, (max-width: 434px) 100vw, 434px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Permanent Magnet Moving Coil (PMMC) Instrument<\/strong><\/p>\n<p style=\"text-align: justify;\">The constructional features of PMMC instrument are shown below in figure which is very much similar to d\u2019Arsonval type of galvanometer.<br \/>\n<strong>\u2022 Principle of operation:<\/strong> The moving coil consists of number of turns of fine wire and current is passed through it. The iron core provides a flux path of low reluctance which creates a strong magnetic field. The moving coil carries current<em> I<\/em> and produces a deflecting torque proportional to current. When the deflecting torque (proportional to <em>I<\/em>) is equal to the control torque (proportional to \u03b8), the pointer indicates the measured value of current or voltage. Eddy current damping is given to damped out the oscillation at steady state point<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1300 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/permanent-magnet-moving.jpg\" alt=\"Permanent magnet moving\" width=\"350\" height=\"245\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/permanent-magnet-moving.jpg 350w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/permanent-magnet-moving-300x210.jpg 300w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/permanent-magnet-moving-130x90.jpg 130w\" sizes=\"auto, (max-width: 350px) 100vw, 350px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Equation of Torque:<\/strong><\/p>\n<p style=\"text-align: justify;\">Let<\/p>\n<p style=\"text-align: justify;\">d = width of the core<br \/>\nl = length of the core<br \/>\nn = number of turns of the coil<br \/>\nI = current through moving coil<br \/>\nK = spring constant<br \/>\n\u03b8 = deflection of moving coil<br \/>\nB = Magnetic flux density<br \/>\nA = Area of cross section of core = d \u00d7 l<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1302 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/deflecting-torque.jpg\" alt=\"Deflecting torque\" width=\"438\" height=\"195\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/deflecting-torque.jpg 438w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/deflecting-torque-300x134.jpg 300w\" sizes=\"auto, (max-width: 438px) 100vw, 438px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Remember:<\/strong><\/p>\n<ul style=\"text-align: justify;\">\n<li>The PMMC instruments measures the DC quantity of current.<\/li>\n<li>If a pure ac signal is passing through PMMC then, it reads zero value.<\/li>\n<li>If the output of half wave rectifier passes through PMMC then, it reads the average value of<br \/>\nthe half wave rectifier output (i.e., <em>I<sub>m<\/sub> \/\u03c0 = I<sub>avg<\/sub><\/em>).<\/li>\n<li>If the output of full wave rectifier is passed through PMMC, then, it will read average value<br \/>\nof the full wave rectifier output (i.e., 2<em>I<sub>m<\/sub>\/\u03c0<\/em>).<\/li>\n<li>If a current of i = (I<sub>0<\/sub> + I<sub>1<\/sub> sin \u03c9t + I<sub>2<\/sub> sin 2\u03c9t + &#8230;.) is passed through PMMC then, it reads I<sub>0<\/sub>.<\/li>\n<li>The control torque is provided by the ribbon suspension (or spring) which eliminates bearing friction.<\/li>\n<li>Type of damping used is eddy current damping produced by the movement of aluminium former moving in the magnetic field of permanent magnet.<\/li>\n<li>It has a linear scale.<\/li>\n<li>The accuracy of the instrument is higher due to higher torque to weight ratio of the instrument.<\/li>\n<li>The power consumption is very low.<\/li>\n<li>Error due to stray magnetic fields are less.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><strong>Disadvantage of PMMC Instruments<\/strong><\/p>\n<p style=\"text-align: justify;\">\u2022 The magnetic field produced is affected by the surrounding temperature which causes error in reading.<br \/>\n\u2022 The instrument is used to measure dc only.<br \/>\n\u2022 It is costly compared to moving iron instruments.<br \/>\n\u2022 It can measure current upto 50 mA and voltage upto 100 mV only.<\/p>\n<p style=\"text-align: justify;\"><strong>Enhancement of PMMC Meters<\/strong><\/p>\n<p style=\"text-align: justify;\">For reading higher range of current and voltage, Ammeter shunts and voltmeter multiplier are used respectively.<\/p>\n<p style=\"text-align: justify;\"><strong>Ammeter Shunts<\/strong><\/p>\n<p style=\"text-align: justify;\">When high current is to be measured, most of the current is bypassed through a low resistance called a \u201cshunt\u201d.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1305 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/shunt.jpg\" alt=\"shunt\" width=\"466\" height=\"197\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/shunt.jpg 466w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/shunt-300x127.jpg 300w\" sizes=\"auto, (max-width: 466px) 100vw, 466px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-1304 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/ammeter-shunt.jpg\" alt=\"Ammeter Shunt\" width=\"247\" height=\"157\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Effect of Temperature Changes in Ammeters<\/strong><\/p>\n<p style=\"text-align: justify;\">If the surrounding temperature increases then, the meter resistance, R<sub>m<\/sub> increases which causes decrease in the current through meter (I<sub>m<\/sub>) so that the meter reads errorneous value.<\/p>\n<p style=\"text-align: justify;\">To compensate the temperature effect a resistance called \u201cswamp resistance\u201d is added in series with the meter. The swamp resistance is made up of mangnin which has low value of temperature coefficient.<\/p>\n<p style=\"text-align: justify;\">The shunt resistance after addition of swamp resistance is given by<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1309 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/temperature-compensation-ammeter-shunts.jpg\" alt=\"Temperature compensation of ammeter shunts\" width=\"327\" height=\"263\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/temperature-compensation-ammeter-shunts.jpg 327w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/temperature-compensation-ammeter-shunts-300x241.jpg 300w\" sizes=\"auto, (max-width: 327px) 100vw, 327px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Multi-range Ammeter<\/strong><\/p>\n<p style=\"text-align: justify;\">The current range of a d.c. ammeter can be extended by a number of shunts, selected by a range switch.<br \/>\nSuch a meter is called \u201cmultirange Ammeter\u201d. A multirange ammeter is shown below in figure.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1310 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/multi-range-ammeter.jpg\" alt=\"Multi-range Ammeter\" width=\"697\" height=\"226\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/multi-range-ammeter.jpg 697w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/multi-range-ammeter-300x97.jpg 300w\" sizes=\"auto, (max-width: 697px) 100vw, 697px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><a class=\"btn btn-danger\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ee\/electrical-electronic-measurements\/electronics-communication-engineering-types-of-errors\/\" target=\"_blank\" rel=\"noopener\">&lt;&lt; Previous<\/a> | <a class=\"btn btn-success\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ee\/electrical-electronic-measurements\/applications-of-electrodynamometer-type-instruments\/\" target=\"_blank\" rel=\"noopener\"> Next &gt;&gt;<\/a><br \/>\n<strong> Must Read: <\/strong> <a href=\"https:\/\/study.madeeasy.in\/subjects\/what-are-the-electrical-and-electronics-measurements\/\" target=\"_blank\" rel=\"noopener\"><strong>What are the Electrical and Electronics Measurements?<\/strong><\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Maxwell\u2019s Inductance Bridge measures an inductance by comparison with a variable standard self inductance. The bridge circuit arrangement with the<\/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":[396,395,397,394],"class_list":["post-1294","post","type-post","status-publish","format-standard","hentry","category-electrical-electronic-measurements","category-ee","tag-ammeter-shunts","tag-deflecting-torque","tag-multi-range-ammeter","tag-permanent-magnet-moving"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/1294","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=1294"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/1294\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=1294"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=1294"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=1294"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}