A conductor lies along the z-axis at $-1.5 \leq z < 1.5$ and carries a fixed current of 10.0 A in $-\hat{a}_{_z}$ direction (see figure). For a field $\overrightarrow{B} = 3.0 \times 10^{-4} e^{-0.2x} \hat{a}_{_y} \;T$, find the power required to move the conductor at constant speed to $x = 2.0\; m, \;y = 0 \;m$ in $5 \times 10^{-3} s$. Assume parallel motion along the x-axis <br>

Question

( A ) 14.85 W
( B ) 1.57 W
( C ) 29.7 W
( D ) 2.97 W