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The total charge induced in a conducting...

The total charge induced in a conducting loop when it is moved in magnetic field depends on

A

the total change in the magnetic flux

B

final magnetic flux only

C

the rate of change of the magnetic flux

D

initial magnetic flux only

Text Solution

Verified by Experts

The correct Answer is:
A
`I = e/R and I = (dq)/(dt)`
`:. q = int I dt = int e/R dt = 1/R int edt`
But `e = (d phi)/(dt)` (in magnitude)
`:. Q = 1/R int (d phi)/(dt) dt = 1/R int d phi`
Thus the total charge induced in the circuit, depends upon R as well as `int d phi` or the total change in the magnetic flux.
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MARVEL PUBLICATION-ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS -TEST YOUR GRASP - 16
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