JEE Main · PhysicsHard

Two parallel wires separated by distance $d$ carry currents $I_1$ and $I_2$ in the same direction. What is the force per unit length $f$ between them?

  1. A.$\frac{\mu_0 I_1 I_2}{2\pi d}$
  2. B.$\frac{\mu_0 I_1 I_2}{\pi d}$
  3. C.$\frac{\mu_0 I_1 I_2}{4\pi d}$
  4. D.$\frac{2\mu_0 I_1 I_2}{\pi d}$
Show correct answer & step-by-step solution

Correct answer: A$\frac{\mu_0 I_1 I_2}{2\pi d}$

Solution

The magnetic field from wire 1 at distance is . The force per unit length on wire 2 is .

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