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Maxwell’s Equation

Explore Maxwell’s Equations, Gauss’ Theorem, Stokes’s Theorem, Ampere’s Law, Biot-Savart Law, Faraday’s Law, and Poynting Theorem in electromagnetism. Study wave propagation in dielectrics with useful equations.

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Maxwell’s Equation

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  1. Maxwell’s Equation

  2. Maxwell’s Equation

  3. Gauss’ Theorem The integral of the normal component of a vector function over a closed surface s equals the integral of the divergence of that vector throughout the volume v enclosed by the surface s.

  4. Stokes’s Theorem The surface integral of the curl of a vector function equals the line integral of that function around a closed curve bounding the surface

  5. Ampere’s Law The line integral of magnetic field intensity around a single closed path is equal to the current enclosed.

  6. Biot-Savart Law

  7. Faraday’s Law Michael Faraday discovered experimentally that a current is induced in a conducting loop when the magnetic flux linking the loop changes.

  8. Poynting Theorem The instantaneous power density at a point can be defined by the Poynting vector as Averaged power density can be expressed as

  9. Wave Propagation in Dielectrics

  10. Useful Equations

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