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Question

Consider a quarter circular conducting ring of large radius r with its centre at the origin where a magnetic dipole moment m is placed as shown in figure. When the ring rotates at constant angular velocity about yaxis, electromotive force induces between its ends is
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A
Zero
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B
V=μ0mω2πr
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C
V=μ0mω4πr
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D
V=μ0mω8πr
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Solution

The correct option is B V=μ0mω2πr
Radius of ring =r
Magnetic dipole moment =m
Since the ring is rotating angular momentum=ω
Thus potential of the ends
E.M.F forceV=μ0(mass)(angular)length
For ring length=2πr
V=μ0mω2πr


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