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Question

Figure (38-E26) shows a straight, long wire carrying a current i and a rod of length l coplanar with the wife and perpendicular to it. The rod moves with a constant velocity u in a direction parallel to the wire. The distance of the wire from the centre of the rod is x. Find the motional emf induced in the rod.


Solution

In this case B varies, so we consider a small element at centre of rod of length dx at a distance x from the wire.

B=μ0i2πx

So, dE=μ0i2πx×vxdx

E=θ0dE

=μ0iv2π[ln(x+12)ln(x12)]

=μ0iv2πln[x+l2xl2]


Physics
Concepts of Physics
Standard XII

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