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In Fig (a) and (b), two air-cored soleno...

In Fig (a) and (b), two air-cored solenoids `P` and `Q` have been shows. They are placed near each other. In Fig (a), when `I_(P)`, the current in `P`, changes at the rate of `5 A s^(-1)`, an emf of `2 mV` is induced in `Q`. The current in `P` is then switched off, and the current changing at `2 A s^(-1)` is fed through `Q` as shows in the figure. What emf will be induced in `P`?

A

`8xx10^(-4)V`

B

`2xx10^(-3)V`

C

`5xx10^(-3)V`

D

`8xx10^(-2)V`

Text Solution

Verified by Experts

The correct Answer is:
A
The mutual inductance M between solenoid P and Q is given by emf induced in Q due to changing of current `I_(P)` in P)
`2xx10^(-3)=Mxx(5)`
`:. M=4.0xx10^(-4)H`
Similarly, emf induced in P due to changing current in `Q=Mxx("rate of change of current" I_(Q) "in" Q)`
`implies` induced emf in `P=(4.0xx10^(-4))xx(2)=8.0xx10^(-4)V`.
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