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 $1$
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 $1$
- [AIEEE 2002]
- [AIIMS 2013]
- A
$\frac{{{\mu _0}}}{{2\pi r}}{i_1}\,{i_2}\,dl\,\tan \theta $
- B
$\frac{{{\mu _0}}}{{2\pi r}}{i_1}\,{i_2}\,dl\,\sin \theta $
- C
$\frac{{{\mu _0}}}{{2\pi r}}{i_1}\,{i_2}\,dl\,\cos \theta $
- D
$\frac{{{\mu _0}}}{{4\pi r}}{i_1}\,{i_2}\,dl\,\sin \theta $
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