Electrodynamics: In-depth Solutions for Maxwell’s Equations

This lecture will cover the concept of flux, EMF, and inductance. We will start by describing how the EMF is produced, how it can affect other units, and its different applications. Then, the relationship between coils of wire is described using mutual inductance, and the effect of a wire on itself is discussed in terms of self-inductance.

In previous lectures, we have been working with a simple version of Maxwell’s 4th equation. In this lecture, we will discuss the more complete form, and all of the equations necessary to describe classical physics. Furthermore, we will start to analyze the concept of traveling fields, which propagate free from their source. Finally, we will present the wave equation for the magnetic and electric potentials.

Continuing from the previous lecture, we will discuss traveling waves in greater detail. We will expand on the wave equation by showing how both Electric and Magnetic fields also can be modeled by the 3-D wave equation. Furthermore, we will distinguish between how spherical and one-dimensional fields travel.

In this lecture, we delve into deeply into relativistic and time-dependent solutions. To do this, we show how different equations can be corrected to account for position changes. We will expand on situations from previous lectures, and show how the equations modeling them will change if they are time-dependent. Finally we will discuss how Maxwell’s equations lead to the Lorentz transformation.