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 connectorslides 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
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a
μ0ilv2πrR
b
μ0il2πrv
c
μ0iv2πrlR
d
μ0il2πrRv
answer is A.
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Detailed Solution
The value of magnetic field B is given byB=μ0i2πrSo, the induced e.m.f. is given bye=Blv=μ0ilv2πr∴i=eR=μ0ilv2πrR