Maxwell's equations are a set of four partial differential equations that relate the electric and magnetic fields to their sources, charge density and current density. These equations can be combined to show that light is an electromagnetic wave. Individually, the equations are known as Gauss's law, Gauss's law for magnetism, Faraday's law of induction, and Ampère's law with Maxwell's correction. The set of equations is named after James Clerk Maxwell.These four equations, together with the Lorentz force law are the complete set of laws of classical electromagnetism. The Lorentz force law itself was actually derived by Maxwell under the name of Equation for Electromotive Force and was one of an earlier set of eight equations by Maxwell.
There are four equations that constitute Maxwells equations:
Gausss law: The integral of E.da over a closed surface is equal
to the charge enclosed within the surface divided by epsilon_0.
Gausss law in magnetism: The integral of B.da over any closed
surface is zero.
Faradays law: The line integral of E.dl over a closed path is
equal to minus the derivative with respect to time of the flux through the closed path.
Ampere-Maxwells law: The line integral of B.dl over a closed
path is equal to mu_0*I plus mu_0*epsilon_0*(derivative of the electric flux with respect to time).
Maxwells equations predict the existence of electromagnetic waves
that travel in vacuum with the speed of light.
In a plane electromagnetic wave, the electric field E and the
magnetic field B are perpendicular to each other and both are perpendicular to the direction of propagation.
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.