Kelvi

An arrangement of three parallel straight wires placed perpendicular to plane of paper carrying same current I along the same direction is shown in the figure. Magnitude of force per unit length on the middle wire B is given by:

medium

Moving Charges and Magnetism

2017

physics

$\frac{2 \mu_0 I^2}{\pi d}$

$\frac{\sqrt{2} \mu_0 I^2}{\pi d}$

$\frac{\mu_0 I^2}{\sqrt{2} \pi d}$

$\frac{\mu_0 I^2}{2\pi d}$

Explanation

To solve this problem, we need to calculate the force per unit length on the middle wire B due to the other two wires A and C. $\\$ The force between two parallel current-carrying wires is given by: $\\ F = \frac{\mu_0 I_1 I_2}{2\pi d} \\$

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