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 \[{{F}_{1}}=\frac{{{\mu }_{0}}}{2\pi }\frac{{{I}_{1}}{{I}_{2}}I}{r}\] \[=\frac{{{\mu }_{0}}}{2\pi }\frac{2\times 3\times 1}{0.05}\] \[=2.40\times {{10}^{-5}}N\](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 by C \[=(3-2.4)\times {{10}^{-5}}N\] \[=0.6\times {{10}^{-5}}N\] (towards B)
You need to login to perform this action.
You will be redirected in
3 sec
