Electromagnetic Waves

The idea of waves is extremely important in physics. Waves are produced by the disturbance of the electric and magnetic field. It is surprising to think that the light is fundamentally connected with electricity and magentism and the same laws that govern apply to moving electric charges can produce light.

Maxwell's Equations

Differential Form

$\nabla.E=\frac{\rho}{\epsilon}$

$\nabla.B=0$

$\nabla\curlE = -\frac{dB}{dt}$

$\nabla\curlB = -\mu_0 J + \mu\epsilon_0\frac{\partialE}{\partialt}$

The Electromagnetic Wave

Speed of Light

$c = \frac{1}{\sqrt{\mu_0\epsilon_0}}$