4 partial differential equations
- (Gauss's Law for Electricity) The first equation means that Charge generates Electric Field which Divergence from + and Convergence into -
- (Gauss's Law for Magnetism) The second equation indicates that there is no magnetic charge monopole that generates Magnetic Field while making a loop
- (Faraday’s law of induction) The derivation per time of Magnetic Field generates Electric Field which has a circular symmetry and makes rotation to the charge.
- (Ampere’s law) The derivation per time of Electric Field generates Magnetic Field which has a circular symmetry
Based on third and forth laws, we could predict there might be a wave (Light) with interaction.
Maxwell Equations
Maxwell Equation could not perfectly explain the effect of a magnetic field on a moving charge passing through a static magnetic field. Hendrik Lorentz showed that while stationary charges are only affected by electric fields, moving charges experience a force from the cross product of their velocity and the magnetic field direction (Lorentz force).