Measurement of mutual inductance from frequency dependence of impedance of AC coupled circuit using digital dual-phase lock-in amplifier

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dc.creatorSchauber, Michael J.
dc.creatorNewman, Seth A.
dc.creatorGoodman, Lindsey R.
dc.creatorSuzuki, Itsuko S.
dc.creatorSuzuki, Masatsugu
dc.date2006-06-14
dc.date2008-09-30
dc.date.accessioned2026-07-07T10:06:16Z
dc.date.available2026-07-07T10:06:16Z
dc.descriptionWe present a simple method to determine the mutual inductance $M$ between two coils in a coupled AC circuit by using a digital dual-phase lock-in amplifier. The frequency dependence of the real and imaginary parts is measured as the coupling constant is changed. The mutual inductance $M$ decreases as the distance $d$ between the centers of coils is increased. We show that the coupling constant is proportional to $d^{-n}$ with an exponent $n$ ($\approx$ 3). This coupling is similar to that of two magnetic moments coupled through a dipole-dipole interaction.
dc.description9 pages, 10 figures, Fig.1 is corrected, figures in png files, short version is published in Am. J. Phys. 76, (2008) 129
dc.identifierhttps://arxiv.org/abs/physics/0606124
dc.identifierhttp://arxiv.org/abs/physics/0606124
dc.identifierdoi:10.1119/1.2820391
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170267
dc.subjectPhysics Education
dc.titleMeasurement of mutual inductance from frequency dependence of impedance of AC coupled circuit using digital dual-phase lock-in amplifier
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