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A rod of length l is kept parallel to a ...

A rod of length `l` is kept parallel to a long wire carrying constant current `i` . It is moving away from the wire with a velocity `v`. Find the emf induced in the wire when its distance from the long wire is `x`.

Text Solution

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`E=B//V=(mu_(0)ilv)/(2pix)`
OR
Emf is equal to the rate with which magnetic field lines are cut. In dt time the area swept by the rod is l v dt. The magnetic field lines cut in dt time `=B//vdt=(mu_(0)ilvdt)/(2pix)`

`:.` The rate with which magnetic field lines are cut `=(mu_(0)ilv)/(2pix)`
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