The arc's \( B C \) (radius \( =b \) ) and \( A D \) (radius \( =a \) ) of loop are joined by the straight wires \( A B \) and \( C D \). A steady current \( I \) is flowing in the loop. Angle made by \( A B \) and \( C D \) at the origin is \( 30^{\circ} \). Another straight thin wire with steady current \( I \), flowing out of plane of the paper is kept at the origin.
Due to presence of current \( I_{1} \) at the origin
(a) the forces on \( A B \) and \( D C \) are zero
(b) the forces on \( A D \) and \( B C \) are zero
(c) the magnitude of the net force on the loop is given by \( \frac{\mu_{0} I I_{1}}{4 \pi}\left\{2(b-a)+\frac{\pi}{3}(a+b)\right\} \)
(d) the magnitude of the net force on the loop is given by \( \frac{\mu_{0} I I_{1}}{24 \cdot a b}(b-a) \)
\( \mathrm{P} \)
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