An infinitely long straight wire carrying current $I$,an open 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:

  • A
    $\frac{\mu_{0}}{\pi} \frac{ Ivl }{ Rr }$
  • B
    $\frac{\mu_{0}}{2 \pi} \frac{ Ivl }{ Rr }$
  • C
    $\frac{2 \mu_{0}}{\pi} \frac{ Ivl }{ Rr }$
  • D
    $\frac{\mu_{0}}{4 \pi} \frac{ Ivl }{ Rr }$

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