First slide
Motional EMF
Question

A straight conductor carrying current i and a loop closed by a sliding connector of resistance ,R lie in the same plane as shown in fig. (8). The connector

slides towards right with a uniform velocity v. The induced current generated in the loop in terms of distance r of the connector from the straight conductor will be

Moderate
Solution

The value of magnetic field B is given by
B=μ0i2πr
So, the induced e.m.f. is given by
e=Blv=μ0ilv2πri=eR=μ0ilv2πrR

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