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Question

A circular coil of conducting wire has an area A and number of turns N. It is lying in a vertical plane in a region where uniform magnetic field B exist with field direction normal to the coil plane. If the coil is rotated about a vertical axis by an angle π in 0.5 seconds, then the value of the emf induced at the ends of the coil is

A
4 NAB
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B
4π NAB
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C
8 NAB
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D
8π NAB
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Solution

The correct option is B 4 NAB
AS the coil rotates by π radians, ϕ=NAB(NAB)=2NAB

emf= rate of change of flux

=ϕt=2NAB0.5
=4NAB

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