A) towards A equal to \[0.6\times {{10}^{-5}}N\]
B) towards B equal to \[5.4\times {{10}^{-5}}N\]
C) towards A equal to \[5.4\times {{10}^{-5}}N\]
D) towards B equal to \[0.6\times {{10}^{-5}}N\]
Correct Answer: D
Solution :
The force between the conductors is attractive if the currents in them are in the same direction and repulsive if the currents are in opposite direction, Mutual force between conductors A and C \[{{F}_{1}}=\frac{{{\mu }_{0}}}{2\pi }\frac{{{I}_{1}}{{I}_{2}}l}{r}\] \[=\frac{{{\mu }_{0}}}{2\pi }=\frac{2\times 3\times 1}{0.05}\] \[=2.40\times {{10}^{-5}}N\] (towards A) Mutual force between conductors B and C \[=\frac{{{\mu }_{0}}}{2\pi }\times \frac{4\times 3\times 1}{0.08}\] \[=3\times {{10}^{-5}}N\] (towards B) Hence, the resultant force experienced byC \[=\,(3-2.4)\times {{10}^{-5}}N\] \[=0.6\times {{10}^{-5}}N\] (towards B)
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