Two long parallel conducting wires carrying currents are separated by a distance ' x '. Work done per unit length in changing the distance between the wires is proportional to

Step-by-step solution

When conducting wire is displaced by (x) d x distance, then work done per unit length is; d W= F / . d x or, d W= ₀ I₁ I₂ 2 x d x [ F = ₀ I₁ I₂ 2 x ] or, d W= ₀ I₁ I₂ 2 x d x or, W= ( ₀ I₁ I₂ 2 ) _e x or, W _e x