# Deriving the Ampère-Maxwell law

Maxwell’s equations tell us how electricity and magnetism are related to each other. After deriving the first two fundamental laws, namely Gauss’s law of electricity and Gauss’s law of magnetism, we are now ready to look at a more complicated, yet equally important law known as the Ampère-Maxwell law. In this article, we derive the differential equation associated with this law, and briefly discuss its physical implications.