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Question

A coil of resistance 40 Ω is connected to a galvanometer of 160 Ω resistance. The coil has radius of 6 mm and 100 turns. This coil is placed between the poles of a magnet such that the magnetic field is perpendicular to plane of the coil. If the coil is dragged out of this magnetic field instantaneously, a total charge of 32μC flows through the galvanometer. The magnitude of magnetic field is:

A
6.55 T
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B
5.66 T
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C
0.655 T
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D
0.566 T
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Solution

The correct option is D 0.566 T
Flux linked with the coil, when the coil is placed between the poles of magnet is,

ϕ1=NBAcos0

ϕ1=100×B×π×(6×103)2

ϕ1=36πB×104 Wb

When the coil is removed,

ϕ2=0

We know that,

Δq=|Δϕ|Rnet

Here, Rnet=(160+40)Ω

Rnet=200Ω

32×106=36πB×104200

B=0.566 T

Hence, option (C) is the correct answer.

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