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Question

A square coil of side 25cm having 1000 turns is rotated with an uniform speed in a magnetic field about an axis perpendicular to the direction of the field. At an instant t, the emf induced in the coil is e=200sin100πt. The magnetic induction is


A

0.50T

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B

0.02T

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C

10-3T

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D

0.1T

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E

0.01T

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Solution

The correct option is E

0.01T


Step 1: Given data

Side, s=25cm

No. of turns, N=1000

Angular frequency, ω=100π

E.m.f, e=200sin100πt

Step 2: Find magnetic induction

The standard e.m.f equation is,

e=NBAωSinωt

Where,

N= no. of turns

B= magnetic field

A= area

ω= angular frequency

On comparing the given e.m.f with standard e.m.f, we get

NBA100π=2001000xBx25x25x100π=200Bx625xπ=20B=0.01T

Hence, option E is correct.


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