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Question

A rectangular coil of wire is placed in a uniform magnetic field such that the plane of the coil is parallel to the magnetic field. The magnetic flux linked with the coil and the emf induced are respectively:

A
Zero and zero
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B
Zero and maximum
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C
Maximum and zero
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D
Maximum and maximum
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Solution

The correct option is D Zero and maximum
Since the plane of the coil is parallel to the magnetic field, the vectors A and B are perpendicular to each other.
Hence, the magnetic flux =B.A=0
The emf induced in the coil =dϕdt =d(BAcosωt)dt =BAωsinωt =BAωsinθ which is maximum for θ=90

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