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 wire1 [AIEEE 2002]

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.            \[\frac{{{\mu }_{0}}}{4\pi r}{{i}_{1}}\,{{i}_{2}}\,dl\,\sin \theta \]
Answer» D.            \[\frac{{{\mu }_{0}}}{4\pi r}{{i}_{1}}\,{{i}_{2}}\,dl\,\sin \theta \]


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