Moving Charges And Magnetism

A conductor lies along the z-axis at \(-1.5 \leq Z \leq 1.5 \mathrm{~m}\) and carries a fixed current of 10.0 \(\mathrm{A}\) in \(-a_z\) direction as shown in figure for a field \(B=3 \times 10^{-4} e^{-0.2 x} a_y \mathrm{~T}\), the total power required to move the conductor at constant speed to \(x=2.0 \mathrm{~m}, y=0 \mathrm{~m}\) in \(5 \times 10^{-3} \mathrm{~s}\) is (Assume parallel motion along the \(x\)-axis)