Question

An emf of $96.0 \mathrm{mV}$ is induced in the windings of a coil when the current in a nearby coil is increasing at the rate of $1.20 \mathrm{~A} / \mathrm{s}$. What is the mutual inductance of the two coils?

Name: Problem 25, Chapter 31: Physics for Scientists and Engineers with Modern Physics
Uploaded: 2020-06-10T11:44:46-08:00
Duration: 1 min 25 s
Channel: Keshav Singh
Description: An emf of 96.0 mV is induced in the windings of a coil when the current in a nearby coil is increasing at the rate of 1.20 A / s. What is the mutual inductance of the two coils?

   An emf of $96.0 \mathrm{mV}$ is induced in the windings of a coil when the current in a nearby coil is increasing at the rate of $1.20 \mathrm{~A} / \mathrm{s}$. What is the mutual inductance of the two coils?

Physics for Scientists and Engineers with Modern Physics

Raymond A. Serway,… 10th Edition

Chapter 31, Problem 25

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Solved by Expert Keshav Singh

06/10/2020

Step 1

We are given an induced electromotive force (emf) of $96.0 \, \text{mV}$ in one coil due to a changing current in a nearby coil. The rate of change of current in the nearby coil is $1.20 \, \text{A/s}$. We need to find the mutual inductance between the two Show more…

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An emf of $96.0 \mathrm{mV}$ is induced in the windings of a coil when the current in a nearby coil is increasing at the rate of $1.20 \mathrm{~A} / \mathrm{s}$. What is the mutual inductance of the two coils?

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Key Concepts

Mutual Inductance

Mutual inductance is a property of two circuits whereby a change in current in one circuit induces an electromotive force (emf) in the other circuit. It depends on the geometry, orientation, and distance between the coils, and plays a crucial role in transformer operation and coupling between circuits.

Faraday's Law of Electromagnetic Induction

Faraday's Law states that a changing magnetic flux through a circuit induces an emf in that circuit. In the context of mutual induction, this law explains how a time-varying current in one coil produces a changing magnetic field, which in turn induces an emf in a nearby coil, with the magnitude of the induced emf proportional to the rate of change of current.

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