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Question

An infinitely long, straight wire carrying current I, one side opened rectangular loop and a conductor C with a sliding connector are located in the same plane, as shown, in the figure. The connector has length $l$ and resistance R. It slides to the right with a velocity v. The resistance of the conductor and the self inductance of the loop are negligible. The induced current in the loop, as a function of separation r, between the connector and the straight wire is :

${{{\mu _0}} \over {4\pi }}{{Ivl} \over {Rr}}$
${{{\mu _0}} \over {\pi }}{{Ivl} \over {Rr}}$
${{{\mu _0}} \over {2\pi }}{{Ivl} \over {Rr}}$
${{2{\mu _0}} \over \pi }{{Ivl} \over {Rr}}$

Solution

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