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  • Maxwells Equations
    Maxwell's Equations are presented in this tutorial Gauss's Law, Faraday's Law, the non-existance of magnetic charge, and Ampere's Law are described in an intuitive method, with a focus on understanding above mathematics
  • The Wave Equation - Maxwells Equations
    The Wave Equation One of the most fundamental equations to all of Electromagnetics is the wave equation, which shows that all waves travel at a single speed - the speed of light On this page we'll derive it from Ampere's and Faraday's Law We assume we are in a source free region - so no charges or currents are flowing We want to determine how Electric and Magnetic Fields propagate through
  • Permittivity - Maxwells Equations
    Properties of the Permittivity in Relation to Maxwell's Equations The permittivity is the multiplier that relates the Electric Flux Density and the Electric Field: [Equation 5] In addition, it is known that the speed of light in free space is related to the permittivity and permeability of a medium: [Equation 6] As you can see, the speed of
  • Maxwells Equations: Faradays Law
    The third of Maxwell's Equations, Farady's Law of Induction, is presented on this page We start with the original experiments and the give the equation in its final form This equation says a changing magnetic flux gives rise to an induced EMF - or E-field
  • Divergence - Maxwells Equations
    The divergence operator is defined and explained on this page Divergence takes a vector input and returns a scalar output
  • The Curl - Maxwells Equations
    The curl operator is defined and explained on this page The curl (also called the rotation or rot) takes a vector input and returns a vector output which is a measure of the rotation of the field
  • The Continuity Equation - Maxwells Equations
    The Continuity Equation The Continuity Equation If we do some simple mathematical tricks to Maxwell's Equations, we can derive some new equations On this page, we'll look at the continuity equation, which can be derived from Gauss' Law and Ampere's Law
  • Amperes Law - Maxwells Equations
    The final of Maxwell's Equations - Ampere's Law is explained on this page A new concept of displacement current is added, which is due to Maxwell himself
  • Gauss Law for Electric Fields - Maxwells Equations
    The first of Maxwell's Equations is discussed on this page - Gauss' Law for electric fields It shows that the divergence of the Electric Flux Density is always equal to the amount of charge at that point





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