A conductor lies along the z-axis at $$-1.5 \leq z < 1.5$$ m and carries a fixed current of 10.0 A in $$-\hat{a}_z$$ direction (see figure). For a field $$\vec{B} = 3.0 \times 10^{-4} e^{-0.2x} \hat{a}_y$$ 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.

A

1.57 W

B

2.97 W

C

14.85 W

D

29.7 W