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 $\;\overrightarrow{B} = 3.0 \times 10^{-4} e^{-0.2x} \hat{a_{y}}\;$ T , find the power required to move the conductor at constant speed to x=0.2 m ,y=0 m in $\; 5 \times 10^{-3}\;s\;$ .Assume parallel motion along the x - axis

Question

$(a)\;1.57\;W\qquad(b)\;2.97\;W\qquad(c)\;14.85\;W\qquad(d)\;29.7\;W$