Question

Force of attraction between two parallel current-carrying conductors is $F$ newton per meter. Current through each of them is doubled and reversed. New force in $N/m$ between these conductors is

• A. force of attraction - $4F$
• B. force of repulsion - $4F$
• C. force of attraction - $F/4$
• D. force of repulsion - $F/4$

Answer 1

Answer: (A)

Force per unit length between two parallel wires carrying currents $I_1$ and $I_2$ is given by
$F=\frac{{\mu }_0{I}_1{I}_2}{2\pi r}$
Force is attractive if currents are in same direction. If current through each of them is doubled and reversed, then
$F^{\prime }=\frac{{\mu }_{0}2I_{1}2I_2}{2\pi r}=4F$
As direction of current in each conductor is reversed, so again currents in each flow in the same direction. So, force will be attractive.