Wires 1 and 2 carrying currents I 1 and I 2 respectively are inclined at an angle θ to…

Physics · JEE Main · NTA Exams — Magnetic Effects of Current and Magnetism

Wires 1 and 2 carrying currents I₁ and I₂ respectively are inclined at an angle θ to each other. What is the force on a small element dl of wire 2 at a distance r from wire 1 (as shown in figure) due to the magnetic field of wire 1 ?

1. \(\frac{\mu_{0}}{2 \pi r}\) I₁I₂ dl tan θ
2. \(\frac{\mu_{0}}{2 \pi r}\)I₁I₂ dl sin θ
3. \(\frac{\mu_{0}}{2 \pi r}\) I₁I₂ dl cos θ
4. None of these

Answer

(C) _ 0 2 r I 1 I 2 d l cos θ

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