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]
  • A

    $8\times10^{-5}\, N$

  • B

    $5\times10^{-5}\, N$

  • C

    $8\pi \times10^{-7}\,N$

  • D

    $4\pi \times10^{-7}\,N$

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