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Maxwell’s equations in their integral and differential forms with 2D graphical representations of the laws that they describe come together in a design that any self-respecting physics/mathematics geek would appreciate!
From top to bottom, the four sets of two variants of the equations and their accompanying graphical representations are:
Gauss’s Law: the net electric flux through any closed surface is proportional to the net electric charge enclosed within that surface.
Gauss’s Law for Magnetism: the divergence of the magnetic field is zero/monopoles do not exist.
Maxwell-Faraday Equation (Faraday’s Law of Induction): the induced electromotive force in any closed circuit is equal to the negative of the time rate of change of magnetic flux enclosed by the circuit.
Ampère’s circuital law (with Maxwell’s addition): the electric currents and changes in electric fields through a surface are proportional to the magnetic field circulating that surface.
Together with the Lorentz force law, Maxwell’s four equations provide a complete description of all classical electromagnetic phenomena – they form the foundation of classical electrodynamics, classical optics and electric circuits. The equations are named after the Scottish physicist and mathematician, James Clerk Maxwell, whose work during the second half of the nineteenth century unified the theories of electricity, magnetism and light.
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