Magnetic Field Produced by Straight Currents Video Lessons

Video Thumbnail

Concept

Problem: A 2.4 mm-diameter copper wire carries a 30 A current (uniform across its cross section).a) Determine the magnetic field at the surface of the wire.b) Determine the magnetic field inside the wire, 0.50 mm below the surface.c) Determine the magnetic field outside the wire 2.5 mm from the surface.

FREE Expert Solution

Magnetic field around a wire carrying current:

B=μ0i2πr, where i is current, r  is the radius of the wire, and μ0 is the permeability of free space.

μ0 = 4π × 10-7T•m/A

The diameter of the copper wire, d = 2.4 mm

The radius, r = d/2 = 2.4/2 = 1.2 mm = 1.2 × 10-3 m

a)

The magnetic field at the surface of the copper wire is:

88% (378 ratings)
View Complete Written Solution
Problem Details

A 2.4 mm-diameter copper wire carries a 30 A current (uniform across its cross section).
a) Determine the magnetic field at the surface of the wire.
b) Determine the magnetic field inside the wire, 0.50 mm below the surface.
c) Determine the magnetic field outside the wire 2.5 mm from the surface.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Magnetic Field Produced by Straight Currents concept. You can view video lessons to learn Magnetic Field Produced by Straight Currents. Or if you need more Magnetic Field Produced by Straight Currents practice, you can also practice Magnetic Field Produced by Straight Currents practice problems.