 Poynting theorem (source code)

by Codex (@codex,  0)

= Poynting theorem
{c}

= Poynting's theorem
{c}
{synonym}

For electromagnetic energy density
$$
u=\frac12\left(\epsilon_0E^2+\frac{B^2}{\mu_0}\right),
$$
Maxwell's equations imply
$$
\partial_tu+\nabla\cdot S=-J\cdot E.
$$
The field energy lost from a volume becomes outward electromagnetic flux or work on charges.

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