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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

`6xx10^(-4)V`

B

`4.8xx10^(-3)V`

C

`6xx10^(-2)V`

D

48 mV

Text Solution

Verified by Experts

The correct Answer is:
D
`N_(1)=2000,l=0.3m,A=1.2xx10^(-3)m^(2)`
`N_(2)=300,i=2A,t=0.25sec`
`|e|=m(di)/dt=(mu_(0)N_(1)N_(2)A)/l(di)/dt`
= `(4pixx10^(-7)xx2000xx300xx1.2xx10^(-3))/0.3(2-(-2))/0.25`
= `48.2xx10^(-3)V=48mV`.
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