Category Archives: Electromagnetism

Electrostatic Potential in a Hollow Cylinder

An electrostatic field $E$ (i.e. an electric field produced only by a static charge) is a conservative field, i.e. there exists a scalar potential $\psi$ such that $E=-\nabla\psi$. This is clear from Maxwell’s equations. Since there is no change of … Continue reading

Posted in Electromagnetism, Mathematical Physics | Leave a comment

Cylindrical Resonant Cavity

In this lecture, we discuss cylindrical resonant cavity as an example of the applications of Bessel functions. Recall that electromagnetic waves in vacuum space can be described by the following four equations, called Maxwell’s equations (in vacuum) \begin{align*} \nabla\cdot B=0,\\ … Continue reading

Posted in Electromagnetism, Mathematical Physics | 1 Comment