A current `I = 10 sin (100pi t)` amp. Is passed in first coil, which induces a maximum e.m.f of `5pi` volt in second coil. The mutual inductance betwe
A current `I = 10 sin (100pi t)` amp. Is passed in first coil, which induces a maximum e.m.f of `5pi` volt in second coil. The mutual inductance between the coils is-
A. 10 mH
B. 15 mH
C. 25 mH
D. 5 mH
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Correct Answer - D
Let `I = I_(0) sin omegat`,
where `I_(0) = 10, omega = 100 pi`
then `epsilon = M(dl)/(dt)`
`= M(d)/(dt) I_(0) sin omegat`
`= M I_(0)omega cos omegat`
`therefore epsilon_("max") = MI_(0)omega`
`5pi = M xx 10 xx 100pi`
`M = 5mH`
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