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A solenoid has 2000 turns wound over a l...

A solenoid has `2000` turns wound over a length of `0.3 m`. Its cross-sectional area is equal to `1.2 xx 10^(-3) m^(2)`. Around its central cross-section a coil of `300` turns in wound. If an initial current of `2 A` flowing in the solenoid is reversed in `0.25 s`, the emf induced in the coil is

A

`60mV`

B

`4.8mV`

C

`6mV`

D

`48 mV`

Text Solution

Verified by Experts

The correct Answer is:
D

Induced emf `eM(di)/(dt)=(mu_(0)N_(1)N_(2)A)/(l).(di)/(dt)`
`=(4pixx10^(-7)xx2000xx300xx1.2xx10^(-3))/(0.30)xx(|2-(-2)|)/(0.25)`
`=48.2xx10^(-3)V=48 mV`
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