# Prove Waves have speed c

the general wave equation has form $\nabla^2f=\frac{1}{v^2} \frac{\partial^2 f}{\partial t^2}$

is proving using Maxwell equations that the electric field satisfies a wave equation of the form $\nabla^2 E=\mu_0 \epsilon_0 \frac{\partial^2 E}{\partial t^2}$ sufficient to show that the wave has velocity v?

## Answers and Replies

Hootenanny
Staff Emeritus
Science Advisor
Gold Member
I would say so.

dx
Homework Helper
Gold Member
Yes, that would show that electromagnetic waves have speed 1/√(µε).