$A$ long metal rod of length $L$ completes the circuit as shown. The area of the circuit is perpendicular to the magnetic field $B$. The total resistance of the circuit is $R$. The force needed to move the rod in the direction as shown with a constant speed $V$ is:

  • A
    $\frac{B^{2} L^{2} V}{R}$
  • B
    $\frac{BLV}{R}$
  • C
    $\frac{BLV^{2}}{R}$
  • D
    $\frac{B^{2} LV}{R}$

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