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A set of four equations that define electrodynamics. They comprise the Gauss laws for the electric and magnetic fields, the Faraday law, and the Ampère law. Together, these equations uniquely determine the electric and magnetic fields of a physical system. DO NOT USE THIS TAG for the Maxwell-Boltzmann distribution, or the thermodynamical equations known as Maxwell's relations.

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How to show with Maxwells Equations that nonaccelerating charges don't radiate? [closed]

How to show with Maxwells Equations that nonaccelerating charges don't radiate?
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Do the Lienard Wiechert Potentials satisfy the wave equation?

The Lienard Wiechert potential (leaving out the vector potential for simplicity), $$\left.\phi(\vec{r},t)=\frac{e}{4\pi\epsilon_0R\,(1-\hat{n}\cdot\vec{\beta})} \right|_{t'=t_{\rm ret}},$$ where the q …
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Deriving the Poynting Theorem

Well, trying to get in the form of what Mark Wayne put down...you can start with the dfinition of the energy density "u" and find the partial wrt time. From there you can use Maxwell's Equations to ma …
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