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A current loop $ABCD$ is held fixed on the plane of the paper as shown in the figure. The arcs $ BC$ (radius $= b$) and $DA $ (radius $= a$) of the loop are joined by two straight wires $AB $  and $CD$. A steady current $I$ is flowing in the loop. Angle made by $AB$ and $CD$ at the origin $O$ is $30^o $. Another straight thin wire with steady current $I_1$ flowing out of the plane of the paper is kept at the origin.

Due to the presence of the current $I_1$ at the origin

  • AThe forces on $AB$ and $ DC$ are zero
  • BThe forces on $AD$ and $ BC$ are zero
  • CThe magnitude of the net force on the loop is given by $\frac{{{I_1}I}}{{4\pi }}{\mu _0}\left[ {2(b - a) + \frac{\pi }{3}(a + b)} \right]$
  • DThe magnitude of the net force on the loop is given by $\frac{{{\mu _0}I{I_1}}}{{24ab}}(b - a)$
AIEEE 2009, Medium
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