COLLEGE PHYSICS (LL)W/MOD.MASTERINGPHYS
COLLEGE PHYSICS (LL)W/MOD.MASTERINGPHYS
4th Edition
ISBN: 9780135160121
Author: Knight
Publisher: PEARSON
Question
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Chapter 25, Problem 1CQ
To determine

To explain: Whether the induced current exists in the loop or not when the flux through the loop is zero.

Expert Solution & Answer
Check Mark

Answer to Problem 1CQ

The induced current doesn’t exist in the loop when the flux through the loop is zero.

Explanation of Solution

Formula used:

Consider the equation for induced current.

I=εR (1)

Here,

ε is the emf due to motion of conductor.

R is the resistance.

Consider the equation for emf.

ε=ΔϕΔt (2)

Here,

Δϕ is the change in magnetic flux.

Δt is the change in time.

Explanation:

Substitute equation (2) in equation (1),

I=(ΔϕΔt)R

I=ΔϕΔt×1R (3)

The magnetic flux through the coil of wire is zero that is,

Δϕ=0,

Substitute 0 for Δϕ in equation (3)

I=0Δt×1R=0A

Since the magnetic field in the coil is zero, so the induce current in the coil will also be zero.

Conclusion:

Hence, the induced current doesn’t exist in the loop when the flux through the loop is zero.

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Chapter 25 Solutions

COLLEGE PHYSICS (LL)W/MOD.MASTERINGPHYS

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