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In a region of uniform magnetic inductio...

In a region of uniform magnetic induction `B=10^(2)` tesla, a circular coil of radius `30 cm` and resistance `pi^(2)` ohm is rotated about an axis which is perpendicular to the directon of `B` and which form a diameter of the coil. If the coil rotates at `"200rpm"` the amplitude of the alternating current induced in the coil is

A

`4pi^(2)mA`

B

30 mA

C

6 mA

D

200 mA

Text Solution

Verified by Experts

The correct Answer is:
C
`i_(0)=e_(0)/R=(omegaNBA)/R=(2pifNB(pir^(2)))/R`
`i_(0)=(2pixx200/60xx10^(-2)xxpi(0.3)^(2))/pi^(2)=6xx10^(-3)A`.
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