Three infinite wires are arranged in space in three dimensions.(along $x, y$ and $z$ axis) as shown. Each wire carries current $i$ . Find magnetic field at $A$ 

821-2

  • A

    $ - \frac{{{\mu _0}i}}{{2\pi r}}\hat i - \frac{{{\mu _0}i}}{{2\pi r}}\hat j - \frac{{{\mu _0}i}}{{\pi r}}\hat k$

  • B

    $ - \frac{{{\mu _0}i}}{{4\pi r}}\hat i + \frac{{{\mu _0}i}}{{4\pi r}}\hat j - \frac{{{\mu _0}i}}{{\pi r}}\hat k$

  • C

    $ \frac{{{\mu _0}i}}{{4\pi r}}\hat i + \frac{{{\mu _0}i}}{{4\pi r}}\hat j - \frac{{{\mu _0}i}}{{\pi r}}\hat k$

  • D

    $ \frac{{{\mu _0}i}}{{2\pi r}}\hat i + \frac{{{\mu _0}i}}{{2\pi r}}\hat j - \frac{{{\mu _0}i}}{{\pi r}}\hat k$

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