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A coil having effective area A, is held with its plane normal to a magnetic field of induction B. The magnetic induction is quickly reduced to 25% of its initial value in 4 s. -

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Question

A coil having effective area A, is held with its plane normal to a magnetic field of induction B. The magnetic induction is quickly reduced to 25% of its initial value in 4 s. Then e.m.f. induced across the coil will be ____________.

Options

  • `(3"AB")/16`

  • `(3"AB")/4`

  • `"AB"/4`

  • `"AB"/2`

MCQ
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Solution

A coil having effective area A, is held with its plane normal to a magnetic field of induction B. The magnetic induction is quickly reduced to 25% of its initial value in 4 s. Then e.m.f. induced across the coil will be `(3"AB")/16`.

Explanation:

`abs"e" = ("d"phi)/"dt" = "A" "dB"/"dt"`

`therefore abs"e" = "A" ((3/4"B")/4)`

` = (3"AB")/16`

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Lenz's Law
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