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

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a
3000 π
b
300 π
c
30 π
d
3 π

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detailed solution

Correct option is C

N=300, A=25×10cm2=250×10−4m2 f=50 cps, B=4×10−2T Peak value of induced emfe=BANω     =4×10−2×250×10−4×300×2πf      =4×10−2×250×10−4×3000×2π(50)       =30πV

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