Read through the course notes before watching the video. The course note files may also contain links to associated animations or interactive simulations.
Read sections 9.3 through 9.13:
Sources of Magnetic Fields (PDF - 1.9MB)
Read through the class slides. They explain all of the concepts from the module.
Do the Concept Questions first to make sure you understand the main concepts from this module. Then, when you are ready, try the Challenge Problems.
Watch the Problem Solving Help videos for insights on how to approach and solve problems related to the concepts in this module.
A solid cylindrical metal conductor has radius a. It is surrounded by a cylindrical conducting metal shell with inner radius b and outer radius c, with a < b < c. The inner conductor carries a current I1 and the outer cylindrical shell carries a current I2 in the same direction. The currents are uniformly distributed over the conductors through which they flow. What is the magnetic field is everywhere in space?
An infinite wire carrying current I is bent into two lengths perpendicular to each other. One segment runs along the negative x-axis up to the origin, and the other segment extends from the origin down the negative y-axis. What is the magnetic field on the x-axis a distance a from the origin?
A long wire of radius R carries a total current I, with a non-uniform current density J=αr. What is the magnetic field everywhere?
A large planar sheet has a charge per unit area σ and moves at speed v. Using Ampere's Law, find the magnetic field everywhere. Suppose there is another sheet parallel to the first one, a distance d away, also carrying charge per unit area σ, but moving at speed -v. Now what is the magnetic field everywhere?
In a separate but related problem, consider a long cylinder of radius a carrying a fixed surface charge σ. The cylinder rotates about its axis at an angular speed ω, in radians per second. What is the magnetic field everywhere?
The visualizations linked below are related to the concepts covered in this module.