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In Fig, the mutual inductance of a coil ...

In Fig, the mutual inductance of a coil and a very long straight wire is `M`, coil has resistance `R` and self-inductance `L`. The current in the wire varies according to the law `I = at`, where `a` is a constant and `t` is the time, the time dependence of current in the coil is

A

`(M)/(aR)`

B

`maR e^(-Rt//L)`

C

`(M)/(R ) e^(-tR//L)`

D

`(Ma)/(R ) (1 - e^(-tR//L))`

Text Solution

Verified by Experts

The correct Answer is:
D
`E = (Mdi)/(dt) = Ma`, `I = (Ma)/(R )(1 - e^(-tR//L))`
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