An infinitely long, straight wire carrying |EMF|JEEMAIN2020

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:

$\frac{\mu_0}{4 \pi} \frac{\mathrm{IV} \ell}{\mathrm{Rr}}$

$\frac{\mu_0}{\pi} \frac{\mathrm{IV} \ell}{\mathrm{Rr}}$

$\frac{\mu_0}{2 \pi} \frac{\mathrm{IV} \ell}{\mathrm{Rr}}$

$\frac{2 \mu_0}{\pi} \frac{\operatorname{Iv} \ell}{\operatorname{Rr}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution