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Question

A conducting square loop having edges of length 2.0 cm is rotated through 180 about a diagonal in 0.20 a. A magnetic field B exists in the region which is perpendicular to the loop in its initial position. If the average induced emf during the rotation is 20 mV, find the magnitude of the magnetic field.

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Solution

Here e =20 mV =20×103V

A=(2×102)2=4×104

dt =0.2 s,

ϕ=180,ϕ1=2BA

e=dϕdt=2BAdt

20×103=2×B×4×1042×101

20×103=4×B×103

B=20×1034×103=5T


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