A straight conductor carrying current i and a loop closed by a sliding connector of resistance R lie in the same plane. The connector slides 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 
 

 

Given data: In the plane are a straight conductor carrying current I and a loop sealed by a sliding connector of resistance R. A constant velocity v is used while the connector moves to the right.

Detailed used:

An infinite straight conductor’s magnetic field is given by,

$$\begin{gathered} \mathrm{B}=\frac{{\mathrm{\mu }}_0\mathrm{i}}{2\mathrm{\pi r}} \\ \text{ Induced emf, }\mathrm{E}=\mathrm{Bvl}=\frac{{\mathrm{\mu }}_0\mathrm{i}}{2\mathrm{\pi r}}\times \mathrm{v}\times \mathrm{l} \\ \therefore \text{ Induced current, i}=\frac{\text{E}}{\text{R}} \\ \Rightarrow \text{i}=\frac{{\mathrm{\mu }}_0\text{ilv}}{2\mathrm{\pi rR}} \end{gathered}$$