A) Attractive and equal to \[\frac{{{\mu }_{0}}{{I}_{1}}{{I}_{2}}}{3\pi }\]
B) Repulsive and equal to \[\frac{{{\mu }_{0}}{{I}_{1}}{{I}_{2}}}{4\pi }\]
C) Repulsive and equal to\[\frac{{{\mu }_{0}}{{I}_{1}}{{I}_{2}}}{2\pi }\]
D) Zero
Correct Answer: B
Solution :
\[{{F}_{3}}\And {{F}_{4}}\]cancel each other Force on PQ will be \[{{F}_{1}}={{I}_{2}}{{B}_{1}}a\] \[={{I}_{2}}\frac{{{\mu }_{0}}{{I}_{1}}}{2\pi a}a\] \[=\frac{{{\mu }_{0}}{{I}_{1}}{{I}_{2}}}{2\pi }\] Force on RS will be \[{{F}_{2}}={{I}_{2}}{{B}_{2}}a\] \[={{I}_{2}}\frac{{{\mu }_{0}}{{I}_{1}}}{2\pi 2a}a\] \[=\frac{{{\mu }_{0}}{{I}_{1}}{{I}_{2}}}{4\pi }\] Net force \[={{F}_{1}}-{{F}_{2}}=\frac{{{\mu }_{0}}{{I}_{1}}{{I}_{2}}}{4\pi }\]repulsion Option [b]You need to login to perform this action.
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