A square loop of side 12cm with its sides parallel to X and Y axes is moved with a velocity of 8 cm/s in the positive X-direction in an environment containing a magnetic field in the positive Z-direction. The field is neither uniform in space nor constant in time. It has a gradient of $10^{-3}$T/cm along the negative X-direction (that is it increases by $10^{-3}$T/cm as one moves in the negative X-direction) and it is decreasing in time at the rate of $10^{-3} $ T/S. Determine the direction and magnitude of the induced current in the loop if its resistance is $4.50 m\Omega$

Question

$(a)\; 2.88 \times 10^2 A$ along positive Z- direction.
$(b) 2.88 \times 10^{-2} A$ along negative Z-direction
$(c) 2.88 \times 10^{2} A$ along negative Z- direction
$(d)\; 2.88 \times 10^{-2} A$ along positive Z-direction