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 ac=i0=V0R=ωNBAR=(2πν)NB(πr2)R⇒i0=2π×20060×1×10−2×π×(0.3)2π2=6 mA
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