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
A$8\times10^{-5}\, N$
B$5\times10^{-5}\, N$
C$8\pi \times10^{-7}\,N$
D$4\pi \times10^{-7}\,N$
AIEEE 2012, Medium
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A$8\times10^{-5}\, N$
a Force acting on conductor $B$ due to conductor $A$ is given by relation $F=\frac{\mu_{0} I_{1} I_{2} I}{2 \pi r}$
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