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Question

A wire X of length $50 \mathrm{~cm}$ carrying a current of $2 \mathrm{~A}$ is placed parallel to a long wire $\mathrm{Y}$ of length $5 \mathrm{~m}$. The wire $\mathrm{Y}$ carries a current of $3 \mathrm{~A}$. The distance between two wires is $5 \mathrm{~cm}$ and currents flow in the same direction. The force acting on the wire $\mathrm{Y}$ is

$1.2 \times 10^{-5} \mathrm{~N}$ directed towards wire $\mathrm{X}$.
$1.2 \times 10^{-4} \mathrm{~N}$ directed away from wire $\mathrm{X}$.
$1.2 \times 10^{-4} \mathrm{~N}$ directed towards wire $\mathrm{X}$.
$2.4 \times 10^{-5} \mathrm{~N}$ directed towards wire $\mathrm{X}$.

Solution

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