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A rod of length 2a is free to rotate in ...

A rod of length `2a` is free to rotate in a vertical plane, about a horizontal axis `O` passing through its mid-point. A long straight, horizontal wire is in the same plane and is carrying a constant current i as shown in figure. At initial moment of time, the rod is horizontal and starts to rotate with constant angular velocity `omega`, calculate emf induced in the rod as a function of time.

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The correct Answer is:
`(mu_(0)iomega)/(2pi sin^(2) omegat)[d In((d=a sin omegat)/(d+a sin omegat))-2a sinomegat]`
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