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Two thin, long, parallel wires, separated by a distance ‘ $\mathrm{d}$ ‘ carry a current of ‘ $\mathrm{i}$ ‘ $\mathrm{A}$ in the same direction. They will A repel each other with a force of $y_{0} \mathrm{i}^{2} /(2 \pi \mathrm{d})$ B attract each other with a force of $\mu_{n} \mathrm{i}^{2} /(2 \pi \mathrm{d})$ C repel each other with a force of $y_{0} i^{2} /\left(2 \pi \mathrm{rd}^{2}\right)$ D attract each other with a force of $\mu_{\mu_{1}} 1^{2} /\left(2 \pi \mathrm{d}^{2}\right)$
Two thin, long, parallel wires, separated by a distance ‘ $\mathrm{d}$ ‘ carry a current of ‘ $\mathrm{i}$ ‘ $\mathrm{A}$ in the same direction. They will
A repel each other with a force of $y_{0} \mathrm{i}^{2} /(2 \pi \mathrm{d})$
B attract each other with a force of $\mu_{n} \mathrm{i}^{2} /(2 \pi \mathrm{d})$
C repel each other with a force of $y_{0} i^{2} /\left(2 \pi \mathrm{rd}^{2}\right)$
D attract each other with a force of $\mu_{\mu_{1}} 1^{2} /\left(2 \pi \mathrm{d}^{2}\right)$
Physics | Previous Year Question Papers
Two thin, long, parallel wires, separated by a distance ‘ $\mathrm{d}$ ‘ carry a current of ‘ $\mathrm{i}$ ‘ $\mathrm{A}$ in the same direction. They will
A repel each other with a force of $y_{0} \mathrm{i}^{2} /(2 \pi \mathrm{d})$
B attract each other with a force of $\mu_{n} \mathrm{i}^{2} /(2 \pi \mathrm{d})$
C repel each other with a force of $y_{0} i^{2} /\left(2 \pi \mathrm{rd}^{2}\right)$
D attract each other with a force of $\mu_{\mu_{1}} 1^{2} /\left(2 \pi \mathrm{d}^{2}\right)$

Correct option is B attract each other with a force of $y_{0} i^{2} /(2 \pi \mathrm{d})$
$$
\frac{\mathrm{F}}{\mathrm{l}}=\frac{\mu_{0} \mathrm{i}_{1} \mathrm{i}_{2}}{2 \pi \mathrm{d}}
$$
$$
=\frac{\mu_{0 i}^{2}}{2 \pi d}
$$
(attractive as current is in the same direction)

i

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