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Q.
$A$ and $B$ are two infinitely long straight parallel conductors. $C$ is another straight conductor of length $1\,m$ kept parallel to A and $B$ as shown in the figure. Then the force experienced by $C$ is
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 \times10^{-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)
