A 3.00-μC charge is moving with a speed of 4.40 x 104 m/s parallel to a very long, straight wire. The wire is 5.20 cm from the charge and carries a current of 80.0 A. Find the magnitude of the force on the charge.

The magnitude of the force on the charge is 4.0656 x 10⁻⁵ N

Explanation:

Given;

charge on the wire, q = 3.00-μC

speed of the charge, v = 4.40 x 10⁴ m/s

radius from the wire, r = 0.052 m

current in the wire, I = 80.0 A

F = qvB

from biot savart equation, we will determine strength of the magnetic field, B, produced by the current in the wire.

F = qvB = 3 x 10⁻⁶ x 4.4 x 10⁴ x 3.08 x 10⁻⁴ = 4.0656 x 10⁻⁵ N

Therefore, the magnitude of the force on the charge is 4.0656 x 10⁻⁵ N