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Two long straight wires P and Q carrying equal current 10 A each were kept parallel to each other at 5 cm distance. Magnitude of magnetic force experienced by 10 cm length of wire P is F₁. If distance between wires is halved and currents on them are doubled, force F₂ on 10 cm length of wire P will be

Asked in JEE Main 24th Jan 1st Shift 2023 · Force between parallel currents

Answer: (2) 8F₁

Step-by-step solution

F=(μ₀ I₁I₂L)/(2π d)∝(I²)/d

Currents doubled: factor 4; distance halved: factor 2

F₂=4×2× F₁=8F₁

Why the other options are wrong

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