Two long parallel straight wires are separated by a distance of 12 cm . They carry currents of 2 A and 6 A respectively, in the same direction. The distance of the point from the 2 A wire where the net magnetic field is zero, is:

Step-by-step solution

Let the neutral point be at a distance x from the 2 A wire. The distance from the 6 A wire will be (12 - x) . For the net magnetic field to be zero, the magnetic fields produced by both wires must be equal in magnitude and opposite in direction. Since the currents are in the same direction, the neutral point lies between them. Equating the magnitudes of the magnetic fields: ₀ I₁ 2 x = ₀ I₂ 2 (12 - x) Substituting the given values: ₀ (2) 2 x = ₀ (6) 2 (12 - x) 1 x = 3 12 - x 12 - x = 3x 4x = 12 x = 3 cm Answer: 3 cm