Two long current carrying conductors are placed parallel to each other at a distance of 8 cm between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is 300 μT . The equal current flowing in the two conductors is :

Step-by-step solution

Magnetic field in parallel wires is given by B = μ 0 I 2 π d At midway, distance = d 2 ∵   μ 0 I 2 π d 2 × 2 = B ⇒ μ 0 π × 2 I d = B ⇒ 4 × 10 - 7 × 2 I 0 . 08 = 300 × 10 - 6 ⇒ I = 3 × 10 - 4 × 0 . 08 2 × 4 × 10 - 7 = 30   A As B n e t ≠ 0 , so the wires are carrying current in opposite direction.