Question

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

Options

• 30 A in the same direction

• 30 A in the opposite direction

• 60 A in the opposite direction

• 300 A in the opposite direction

Answer 1

Two long current-carrying conductors are placed parallel to each other at a distance of 8 cm between them. The magnitude of the magnetic field produced at the mid-point between the two conductors due to the current flowing in them is 300µT. The equal current flowing in the two conductors is 30 A in the opposite direction.

Explanation:

As B_net ≠ 0, hence the wires are carrying current in opposite directions.

 

`2 xx (mu_0I)/(2pir) = B`

`(mu_0I xx 2)/(2pi(4 xx 10^-2)) = 30 xx 10^-6`

`I = (30 xx 10^-6)/(10^-6)` = 30 A