1. Magnetic Fields Due to Currents
Chapter 29
Magnetic Fields Due to Currents
In this chapter we will explore the relationship between an electric current and the magnetic field it generates in the space around it. We will follow a two-pronged approach, depending on the symmetry of the problem.
For problems with low symmetry we will use the law of Biot-Savart in combination with the principle of superposition.
For problems with high symmetry we will introduce Ampere’s law.
Both approaches will be used to explore the magnetic field generated by currents in a variety of geometries (straight wire, wire loop, solenoid coil, toroid coil).We will also determine the force between two parallel, current-carrying conductors. We will then use this force to define the SI unit for electric current (the ampere).
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