Two thin, long, parallel wires, separated by a distance 'd' carry a current of 'i' A in the same direction. They will (a) repel each other with a force of μ₀ i²/(2π d) (b) attract each other with a force of μ₀ i²/(2π d) (c) repel each other with a force of μ₀ i²/(2π d²) (d) attract each other with a force of μ₀ i²/(2π d²)

Answer: (b). Currents in the same direction attract. F/l = (μ₀ i · i)/(2π d) = (μ₀ i²)/(2π d) So the answer is (b) attract with force μ₀ i²/(2π d) (per unit length).

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Q66JEE Main 2005 · AIEEEEasy

Force on Current-Carrying Conductors

Two thin, long, parallel wires, separated by a distance $'d'$ carry a current of $'i'\ A$ in the same direction. They will

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Answer: (b)

Currents in the same direction attract.
$\frac{F}{l} = \frac{\mu_0 i \cdot i}{2\pi d} = \frac{\mu_0 i^2}{2\pi d}$
So the answer is (b) attract with force $\mu_0 i^2/(2\pi d)$ (per unit length).

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