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Coefficient of coupling between two coil...

Coefficient of coupling between two coils of self-inductances `L_(1)` and `L_(2)` is unity. It means

A

`50%` flux of `L_(1)` is linked with `L_(2)`

B

`100%` flux of `L_(1)` is linked with `L_(2)`

C

`sqrt(L_(1))` time of flux of `L_(1)` is linked with `L_(2)`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B

Two coils ace said to be magnetically coupled, if full or a part of the flux produced by one link with the other. Let `L_(1)` and `L_(2)` be the self-inductances of the coils and M be their mutual inductances, then
`k=(M)/(sqrt(L_(1)L_(2))`
When `100%` flux produced by one coil links with the other, then mutual inductance between the two is maximum and is given by
`Msqrt(L_(1)L_(2))`
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