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Two coils P and Q have mutual inductance 'M' H. If the current in the primary is I = I0 sin ωt, then the maximum vlaue of e.m.f. indued in coil Q is ____________. -

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Question

Two coils P and Q have mutual inductance 'M' H. If the current in the primary is I = I0 sin `omega`t, then the maximum vlaue of e.m.f. indued in coil Q is ____________.

Options

  • `"M"/("I"_0  omega)`

  • `"I"_0  "M" omega`

  • `"I"_0/("M"omega)`

  • `omega/("I"_0  "M")`

MCQ
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Solution

Two coils P and Q have mutual inductance 'M' H. If the current in the primary is I = I0 sin `omega`t, then the maximum vlaue of e.m.f. indued in coil Q is `"I"_0  "M" omega`.

Explanation:

`"I"_"P" = "I"_0  "sin"  omega "t"`

`"e"_"s" = "M" "di"_"p"/"dt" = "MI"_0 omega  "cos"  omega"t"`

`"e"_"s max" = "MI"_0  omega`

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