A rigid wire loop of square shape having side of length L and resistance R is moving along the x -axis with a constant velocity $v_0$ in the plane of the paper. At  $t=0$, the right edge of the loop enters a region of length 3L where there is a uniform magnetic field $B_0$  into the plane of the paper; as shown in the figure. For sufficiently large $v_0$, the loop eventually crosses the region. Let  x be the location of the right edge of the loop. Let $v\left(x\right),I\left(x\right)$ and $F\left(x\right)$  represent the velocity of the loop, current in the loop, and force on the loop, respectively, as a function of x. Counter-clockwise current is taken as positive.