Maxwell's Equations

Maxwell's EquationsMaxwell's equations represent one of the most elegant and concise ways to state the fundamentals of electricity and magnetism. From them one can develop most of the working relationships in the field. Because of their concise statement, they embody a high level of mathematical sophistication and are therefore not generally introduced in an introductory treatment of the subject, except perhaps as summary relationships. These basic equations of electricity and magnetism can be used as a starting point for advanced courses, but are usually first encountered as unifying equations after the study of electrical and magnetic phenomena. Symbols Used | E = Electric field | ρ = charge density | i = electric current | B = Magnetic field | ε0 = permittivity | J = current density | D = Electric displacement | μ0 = permeability | c = speed of light | H = Magnetic field strength | M = Magnetization | P = Polarization | Integral form | Differential form | | Index

Maxwell's equations concepts | HyperPhysics***** Electricity and Magnetism | R Nave | | Go Back |

Maxwell's EquationsIntegral form in the absence of magnetic or polarizable media: I. Gauss' law for electricity | | II. Gauss' law for magnetism | | III. Faraday's law of induction | | IV. Ampere's law | | Differential form | Discussion | | Index

Maxwell's equations concepts | HyperPhysics***** Electricity and Magnetism | R Nave | | Go Back |

Maxwell's EquationsDifferential form in the absence of magnetic or polarizable media: I. Gauss' law for electricity | | II. Gauss' law for magnetism | | III. Faraday's law of induction | | IV. Ampere's law | | Integral form | Discussion | Differential form with magnetic and polarizable media | | Index

Maxwell's equations concepts | HyperPhysics***** Electricity and Magnetism | R Nave | | Go Back |

Maxwell's EquationsDifferential form with magnetic and/or polarizable media: I.