Currents of a $10\, ampere$ and $2\, ampere$ are passed through two parallel thin wires $A$ and $B$ respectively in opposite directions. Wire $A$ is infinitely long and the length of the wire $B$ is $2\, m$. The force acting on the conductor $B$, which is situated at $10\, cm$ distance from $A$ will be
AIEEE 2012, Medium
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Force acting on conductor $B$ due to conductor $A$ is given by relation $F=\frac{\mu_{0} I_{1} I_{2} I}{2 \pi r}$
$I-$ length of conductor $B$
$r$ distance between two conductors
$\therefore F=\frac{4 \pi \times 10^{-7} \times 10 \times 2 \times 2}{2 \times \pi \times 0.1}=8 \times 10^{-5}\, \mathrm{N}$
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