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Mutual inductance of two coils is 0.005H...

Mutual inductance of two coils is 0.005H, ac in primary coil, `I=I_(0)sinomegat`, where `I_(0)=10A` and `omega=100pi` rad/s. What is the maximum emf in the secondary coil?

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ac in primary coil, `I=I_(0)sinomegat`
`therefore (dI)/(dt)=omegaI_(0)cosomegat`
So, `e_(2)=-M(dI)/(dt)` [here M = mutual inductance]
`=-MomegaI_(0)cosomegat`
So the maximum emf in the secondary coil
`=MomegaI_(0)=0.005xx100pixx10=15.7V`
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