Wires $1$ and $2$ carrying currents $i{}_1$ and $i{}_2$ respectively are inclined at an angle $\theta $ to each other. What is the force on a small element $dl$ of wire $2$ at a distance of $r$ from wire $1$ (as shown in figure) due to the magnetic field of wire $1$?

Question

${{{\mu _0}} \over {2\pi r}}{i_1}{i_2}\,dl\,\tan \,\theta $

${{{\mu _0}} \over {2\pi r}}{i_1}{i_2}\,dl\,\sin \,\theta $

${{{\mu _0}} \over {2\pi r}}{i_1}{i_2}\,dl\,\cos \,\theta $

${{{\mu _0}} \over {4\pi r}}{i_1}{i_2}\,dl\,\sin \,\theta $

Solution

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