Maxwell's equations

Electric and magnetic charges are closer to each other than some might have thought. Maxwell's 4 equations describe exactly this fact. That is, the generation and therefore also the size or strength of the magnetic and electric fields. They were defined by James Clerk Maxwell in 1864 and still provide the basis for electrodynamics today.

Maxwell's equations are a summary of Ampere's law, Faraday's law of induction, Gaussian law combined with an addition for Maxwell's displacement current. Maxwell's equations are therefore an extremely complete theory that has been experimentally tested to provide a solid foundation for the whole.

One can imagine that both electric and magnetic fields influence each other in an electromagnetic wave. Now there are the independent and time-dependent Maxwell equations.

The time-independent equations are based on a given static charge and currents in the approximate airspace. Electric fields and magnetic flux density are described with these basic requirements. This means that an electric field has sources and sinks called positive and negative charges. So-called field lines emanate from these.

In this case, the strength of the electric field is as strong as the charge. When this electric field is active, the currents cause vortices that activate the magnetic flux density or magnetic field. The strength of this field is also the same as in the included current.

In addition to the factors of the time-independent equations, the time-dependent equations also contain, as their name suggests, electric and magnetic fields that vary over time. This interferes with a time-varying magnetic flux density acting on the electric field. It causes additional vertebrae.

Conversely, the same is true of eddies in the magnetic field that originate in the electric field. Here the interaction between these two factors becomes clear.

Maxwell's four equations can be summarized as:

1.Maxwell's equation - flood flow law

  • red H = D + j

  • red = rotation

  • H = magnetic field strength

  • D = electrical flux density

  • j = current density

2.Maxwell's equation - Law of induction

  • red E = - B

  • red = rotation

  • B = magnetic flux density

  • E = electric field strength

3.Maxwell's Equation - Electrical Source

  • div D = q

  • div = divergence

  • D = electrical flux density

  • q = electric space charge density

4.Maxwell's Equation - Magnetic Source

  • div B = 0

  • div = divergence

  • B = magnetic flux density

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