Chapter 4

Maxwells Equations

Maxwell’s equations are very popular and they are known as Electromagnetic Field Equations.

The main aim of this chapter is to provide sufficient background and concepts on Maxwell’s equations. They include:

  • Maxwell’s equations for static and time varying fields in free space and conductive media in differential and integral form
  • meaning and proof of Maxwell’s equations
  • comprehensive boundary conditions in scalar and vector form
  • time varying and retarded potentials
  • Helmholtz theorem and Lorentz gauge condition
  • points/formulae to remember, objective and multiple choice questions and exercise problems.
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In 1884, Oliver Heaviside and Willard Gibbs used vector calculus to reformulate Maxwell’s original ...

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