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A rod of length I is rotating with an an...

A rod of length `I` is rotating with an angular speed `omega` about its one end which is at a distance `a` from an infinitely long wire carrying current `i`.Find the `emf` induced in the rod at the instant shown in the figure.

Text Solution

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`E=int(mu_(0)i)/(2pi(a+rcos theta))xx(romega)*(dr)`
`E=(mu_(0)omegai)/(2pi) int_(0)^(l)( r)/(a+r cos theta) drimplies E=(mu_(0)I omega)/(2pi cos theta)[l-(a)/(cos theta)ln""((a+l cos theta)/(a))]`
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