A conductor lies along the $z-$axis $a$ $-1.5$$ \le Z < 1.5\,m$ 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........$ W$
JEE MAIN 2014, Diffcult
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