Question 88: Electromagnetic Induction

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 :
![](https://imagex.cdn.examgoal.net/jgy2xukforxg3c/2f4348d1-59eb-4b3d-a6f0-a812841f177f/1b351a90-02c5-11eb-8293-3b6cc591631c/file-jgy2xukforxg3d-344w.png)

Accepted Answer

B = $\left( {{{{\mu _0}I} \over {2\pi r}}} \right)$
induced current
i
= ${e \over R} = {{Bvl} \over R}$
= $\left( {{{{\mu _0}I} \over {2\pi r}}} \right){{vl} \over R}$

Answer

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

Answer

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

Answer

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

Answer

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

Electromagnetic Induction

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