An infinitely long straight wire carrying current I, one side opened rectangular loop and a conductor $$ $\mathrm{C}$ with a sliding connector are located in the same plane, as shown in the figure. The connector has length I and resistance $R$ $$ . 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: