A circular coil of mean radius of 7 cm and having 4000 turns is rotated at the rate of 1800 revolutions per minute in the earth's magnetic field (B = 0.5 gauss), the maximum e.m.f. induced in coil will be

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1.158 V

0.58 V

0.29 V

5.8 V

answer is B.

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Detailed Solution

e0=ωNBA=(2πv)NBπr2=2×π2vNBr2=2×(3.14)2×180060×4000×0.5×10−4×7×10−22=0.58V

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