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Q.

In a region of uniform magnetic induction  B=10-2  tesla, a circular coil of radius 30 cm and resistance π2 ohm is rotated about an axis which is perpendicular to the direction of B and which forms a diameter of the coil. If the coil rotates at 200 rpm the amplitude of the alternating current induced in the coil is

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a

4π2 mA

b

30 mA

c

6 mA

d

200 mA

answer is C.

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Detailed Solution

Amplitude of the current      i0=e0R=ωNBAR=2πvNBπr2Ri0=2π×200×1×10−2×π(0.3)2π2×60=6×10−3A=6mA
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In a region of uniform magnetic induction  B=10-2  tesla, a circular coil of radius 30 cm and resistance π2 ohm is rotated about an axis which is perpendicular to the direction of B and which forms a diameter of the coil. If the coil rotates at 200 rpm the amplitude of the alternating current induced in the coil is