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Question

A circular coil of radius 10 cm and 25 turns is rotated about its vertical diameter with an angular speed of 40rad s1 in a uniform horizontal magnetic field of magnitude 5×102T. Calculate the emf induced in the coil. Also, find the current in the coil if the resistance of the coil is 15Ω.

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Solution

r=10cm=10×102m
N=25
ω=40 rads1
B=5×102T
ε0=NBAω=25(5×102)×[3.14×(10×102)2]×40=1.57V
I=ε0R=1.5715=0.1047A(I=ε0R)

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