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JEE-MAIN 2020
05-09-2020 S2
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 $\ell$ 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
Select the correct option:
A
$\frac{\mu_0}{4 \pi} \frac{\mathrm{IV} \ell}{\mathrm{Rr}}$
B
$\frac{\mu_0}{\pi} \frac{\mathrm{IV} \ell}{\mathrm{Rr}}$
C
$\frac{\mu_0}{2 \pi} \frac{\mathrm{IV} \ell}{\mathrm{Rr}}$
D
$\frac{2 \mu_0}{\pi} \frac{\operatorname{Iv} \ell}{\operatorname{Rr}}$
✓ Correct! Well done.
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