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In electrodynamics, Poynting's theorem is a statement of conservation of energy for electromagnetic fields developed by British physicist John Henry Poynting. It states that in a given volume, the stored energy changes at a rate given by the work done on the charges within the volume, minus the rate at which energy leaves the volume.
En electromagnetismo, el teorema de Poynting, desarrollado por John Henry Poynting y publicado en 1884, expresa la ley de conservación de la energía. Establece que la disminución de energía electromagnética en una región se debe a la disipación de potencia en forma de calor (por efecto Joule) y al flujo hacia el exterior del vector de Poynting.
In physics, the Poynting vector (or Umov–Poynting vector) represents the directional energy flux (the energy transfer per unit area, per unit time) or power flow of an electromagnetic field. The SI unit of the Poynting vector is the watt per square metre (W/m 2 ); kg/s 3 in base SI units.
Poynting’s theorem (Equation 3.1.14, with Equations 3.1.13, 3.1.8, 3.1.9, and 3.1.11) states that the net electromagnetic power flowing into a region of space may be either dissipated, or used to change the energy stored in electric and magnetic fields within that region.
3 de ene. de 2024 · Our "proof" of Poynting's theorem relies on a simple vector identity, two of Maxwell's equations, and the divergence theorem. This vector identity is valid for any pair of vector fields for which the curl and divergence are well-behaved.
El teorema de Poynting es una expresión de conservación de energía que relaciona elegantemente estas diversas posibilidades. Una vez reconocido, el teorema tiene importantes aplicaciones en el análisis y diseño de sistemas electromagnéticos.
8.2: Poynting’s Theorem. A relation between energy flow and energy stored in the electromagnetic field can be obtained from Maxwell’s equations and the vector identity. div(E ×H ) = H ⋅ curl(E ) −E ⋅ curl(H ). (8.2.1) (8.2.1) div ( E → × H →) = H → ⋅ curl ( E →) − E → ⋅ curl ( H →).