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Question

# The loop shown moves with a velocity v in a uniform magnetic field of magnitude B, directed into the paper. The potential difference between points P and Q is e. Then

A
e=12Blv
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B
e=Blv
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C
P is positive with respect to Q
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D
Q is positive with respect to P
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Solution

## The correct options are A e=12Blv C P is positive with respect to QPotential difference across a rod of length l travelling perpendicular to magnetic field is Bvl.Here potential difference across the side of square opposite to that containing PQ is BvL.Potential difference between point P and the corner of its side+Potential difference between point Q and the corner of its side=12BvL.Thus the potential difference across PQ=BvL−12BvL=12BvL

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