$A$ rectangular loop of length $l$ and breadth $b$ is placed at a distance of $x$ from an infinitely long wire carrying current $i$ such that the direction of the current is parallel to the breadth. If the loop moves away from the current-carrying wire in a direction perpendicular to it with a velocity $v$,the magnitude of the induced emf in the loop is: ($\mu_0=$ permeability of free space)

  • A
    $\frac{\mu_0 i v}{2 \pi x}\left(\frac{l+b}{b}\right)$
  • B
    $\frac{\mu_0 i^2 v}{4 \pi^2 x} \log \left(\frac{b}{l}\right)$
  • C
    $\frac{\mu_0 i l b v}{2 \pi x(l+x)}$
  • D
    $\frac{\mu_0 i l b v}{2 \pi} \log \left(\frac{x+l}{x}\right)$

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