A) repulsive and equal to \[\frac{{{\mu }_{0}}}{2\pi }\,\frac{{{l}^{2}}{{i}_{1}}{{i}_{2}}}{r}\]
B) repulsive and equal to \[\frac{{{\mu }_{0}}}{2\pi }\,\frac{l{{i}_{1}}{{i}_{2}}}{r}\]
C) attractive and equal to \[\frac{{{\mu }_{0}}{{l}^{2}}{{i}_{1}}{{i}_{2}}}{2\pi {{r}^{2}}}\]
D) attractive and equal to \[\frac{{{\mu }_{0}}l{{i}_{1}}{{i}_{2}}}{2\pi r}\]
Correct Answer: B
Solution :
The force per unit length on either wire is given by \[F=\frac{{{\mu }_{0}}{{i}_{l}}.{{i}_{2}}}{2\pi r}\] Total force \[F=\frac{{{\mu }_{0}}}{2\pi }\frac{{{i}_{1}}{{i}_{2}}l}{r}\] When the current is flowing in the parallel wires in opposite direction, then the force will be repulsive which will be equal to\[=\frac{{{\mu }_{0}}{{i}_{1}}{{i}_{2}}}{2\pi r}\]You need to login to perform this action.
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