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Poynting theorem

For electromagnetic energy density

u = \frac{1}{2} (ϵ_{0} E^{2} + \frac{B ^{2}}{μ _{0}}),

Maxwell's equations imply

\partial_{t} u + \nabla \cdot S = - J \cdot E .

The field energy lost from a volume becomes outward electromagnetic flux or work on charges.

Table of contents 75 2
- Energy density and flux of a plane electromagnetic wave Poynting theorem 30
- Poynting theorem in a linear anisotropic medium Poynting theorem 19

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Poynting's theorem