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A circular coil of wire consists of exac...

A circular coil of wire consists of exactly `100` turns with a total resistance `0.20 Omega`. The area of the coil is `100 cm^(2)`. The coil is kept in a uniform magnetic field `B` as shown in Fig. 3.212. The magnetic field is increased at a constant rate of `2 Ts^(-1)`. Find the induced current in the coil in `A`.

Text Solution

Verified by Experts

The correct Answer is:
5
The total flux through `N` turns of the coil,
`phi_(total) = NBA cos theta`
According to Faraday's law of electromagnetic inducetion,
`E_(induced) = -(dphi)/(dt) = -(d)/(dt)(NBA cos theta)`
`= -(NA cos theta) (dB)/(dt)`
The current in duced in the coil,
`I_(induced) = (E_(induced))/(R ) = 5 A`
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