dorsal/arxiv
View SchemaMeasurement of mutual inductance from frequency dependence of impedance of AC coupled circuit using digital dual-phase lock-in amplifier
| Authors | Michael J. Schauber, Seth A. Newman, Lindsey R. Goodman, Itsuko S. Suzuki, Masatsugu Suzuki |
|---|---|
| Categories | |
| ArXiv ID | physics/0606124 |
| URL | https://arxiv.org/abs/physics/0606124 |
| DOI | 10.1119/1.2820391 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We 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.
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"date_created": "2026-03-02T18:01:10.852000Z",
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"abstract": "We present a simple method to determine the mutual inductance $M$ between two\ncoils in a coupled AC circuit by using a digital dual-phase lock-in amplifier.\nThe frequency dependence of the real and imaginary parts is measured as the\ncoupling constant is changed. The mutual inductance $M$ decreases as the\ndistance $d$ between the centers of coils is increased. We show that the\ncoupling constant is proportional to $d^{-n}$ with an exponent $n$ ($\\approx$\n3). This coupling is similar to that of two magnetic moments coupled through a\ndipole-dipole interaction.",
"arxiv_id": "physics/0606124",
"authors": [
"Michael J. Schauber",
"Seth A. Newman",
"Lindsey R. Goodman",
"Itsuko S. Suzuki",
"Masatsugu Suzuki"
],
"categories": [
"physics.ed-ph"
],
"doi": "10.1119/1.2820391",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Measurement of mutual inductance from frequency dependence of impedance of AC coupled circuit using digital dual-phase lock-in amplifier",
"url": "https://arxiv.org/abs/physics/0606124"
},
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