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An intuitive guide to Maxwell's equations (2020)
An Intuitive and Visual Guide to Maxwell's Equations
It wasn’t until the arrival of Oliver Heaviside, who reformulated and simplified the equations, as well as the next generation of physicists (Hertz, Lorentz, and Einstein) that the revelation came through: the universe was not built using the laws of mechanics. To the careless eye, sand seems like a fluid, since quantities of it appear to freely merge and split, but on closer inspection, it’s just a bunch of tiny objects which can be described as individual ‘things’ interacting with each other. We can see that in the spherical example in the image above that the total charge passing through the surface area is going to equal to q enc/ the electric permittivity of free space (ε 0), which is equivalent to what we have in our equation in differential form.
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