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A rod of length l is placed perpendicula...

A rod of length `l` is placed perpendicular to a long wire carrying current `i`. The rod is moved parallel to the wire with a velocity `v`. Find the emf induced in the rod, if its nearest end is at a distance a from the wire.

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Consider a segment of rod of length dx, at a distance x from the wire. Emf induced in the segment
`dE=(mu_(0)i)/(2pix)dx.v" " :. E= int_(a)^(a+l)(mu_(0)ivdx)/(2pix)=(mu_(0)iv)/(2pi)ln((l+a)/(a))`
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