Magnetic field of a coaxial cable#

A portion of a long, cylindrical coaxial cable is shown in the figure. A current \(I\) flows down the centre conductor, and this current is returned in the outer conductor.

Section of a cylindrical coaxial cable

Part 1#

Determine the magnitude of the magnetic field in the region \(r\\< r_1\).

In your symbolic expression, you may copy and paste the Greek symbol μ0. Use pi to represent π.

Answer Section#

Part 2#

What is the direction of the magnetic field calculated in Part 1?

Answer Section#

  • clockwise

  • counterclockwise

  • the magnetic field is zero

Part 3#

Determine the magnitude of the magnetic field in the region \(r_1\\< r\\< r_2\).

In your symbolic expression, you may copy and paste the Greek symbol μ0. Use pi to represent π.

Answer Section#

Part 4#

What is the direction of the magnetic field calculated in Part 3?

Answer Section#

  • clockwise

  • counterclockwise

  • the magnetic field is zero

Part 5#

Determine the magnitude of the magnetic field in the region \(r_2\\< r\\< r_3\).

In your symbolic expression, you may copy and paste the Greek symbol μ0. Use pi to represent π.

Answer Section#

Part 6#

What is the direction of the magnetic field calculated in Part 5?

Answer Section#

  • clockwise

  • counterclockwise

  • the magnetic field is zero

Part 7#

Determine the magnitude of the magnetic field in the region \(r > r_3\).

In your symbolic expression, you may copy and paste the Greek symbol μ0. Use pi to represent π.

Answer Section#

Part 8#

What is the direction of the magnetic field calculated in Part 7?

Answer Section#

  • clockwise

  • counterclockwise

  • the magnetic field is zero

Attribution#

Problem is from the OpenStax University Physics Volume 2 textbook, licensed under the CC-BY 4.0 license.
Image representing the Creative Commons 4.0 BY license.