Question

In figure, distance$\left(d\right)$ between conductors carrying currents $I_1$ and $I_2$ is varied. Which of the following graphs correctly represents the variation of force$\left(F\right)$ between the conductors with distance$\left(d\right)$?

• A.
• B.
• C.
• D.

Answer 1

The correct option is A


A current carrying conductor will generate a magnetic field in its surrounding which will have its impact on another current carrying conductor.

Force per unit length between two current carrying conductors is given by,
$F=\frac{{\mu }_o{I}_1{I}_2}{2\pi d}$, where $d$ is the distance between the conductors.

We can see from the equation that force is inversely proportional to the distance between the two conductors.

Therefore, option $\left(a\right)$ is correct.