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Question

# A flat coil, C of n turn, area A and resistance R, is placed in a uniform magnetic field of magnitude B. The plane of the coil is initially perpendicular to B. The coil is rotated by an angle θ about a diameter and charge of amount Q flows through it. If the coil rotates with a constant angular velocity ω, the emf induced in it:

A
is zero
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B
changes non-linearly with time
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C
has a constant value=BAnω
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D
has a maximum value =BAnω
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E
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Solution

## The correct options are A changes non-linearly with time D has a maximum value =BAnωϕ=nB.A=BnAcos(θ)=BAncos(ωt)E=dϕdt=BAnωsin(ωt)It has a sinusoidal behaviorEmax=BANω, when ωt=nπ

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