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Two coils X and Y are linked such that e...

Two coils `X` and `Y` are linked such that emf `E` is induced in `Y` when the current in `x` is changing at the rate `I' (= dI//dt)`. If a current `I_(0)` is now made to flow through `Y`, the flux linked with `X` will be

A

`EI_(0) I'`

B

`(I_(0)I')/(E)`

C

`(EI')I_(0)`

D

`((E)/(I'))I_(0)`

Text Solution

Verified by Experts

The correct Answer is:
D
Let `M` be the mutual inductance between `X` and `Y`. By definition
`E = M(dI)/(dt) = MI', M = (E)/(I')`
The flux linked with `X` is `phi_(X) = MI_(0) = (E)/(I') I_(0)`
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