The magnetic field due to the current in a long, straight wire is 8.0 μT at a distance of 4.0 cm from the center of the wire. What is the current in the wire?
A) 0.20 A
B) 0.40 A
C) 0.80 A
D) 3.2 A
E) 1.6 A

Question

Quizplus · Accepted Answer

The magnetic field due to the current in the wire is given by the formula:

B = (μ0 * I) / (2π * r)

where B is the magnetic field, I is the current, r is the distance from the center of the wire, and μ0 is the permeability of free space.

We are given that B = 8.0 μT and r = 4.0 cm = 0.04 m. We can rearrange the formula to solve for I:

I = (2π * r * B) / μ0

Substituting the given values, we get:

I = (2π * 0.04 m * 8.0 * 10^-6 T) / (4π * 10^-7 Tm/A)

Solving this gives:

I = 1.6 A

Therefore, the current in the wire is 1.6 A, which is option E.

The Magnetic Field Due to the Current in a Long