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Question

A rectangular coil of 300 turns has an average area of 25 cm×10 cm. The coil rotates with a speed of 50 cps in uniform magnetic field of strength 4×102T about an axis perpendicular to the field. The peak value of the induced emf is (in volt):

A
300π
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B
3000π
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C
3π
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D
30π
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Solution

The correct option is A 3π
Peak voltage will be induced when the longer side moves perpendicular to the magnetic field in which case the axis will be parallel to the longer end.

ω=2πf=2π(50)=100π

Area =A=250 cm2=250×104 m2

Peak induced voltage will be:
V=NABω
300×250×104×4×102×100π

=3π volt

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