Mathematics Atlas

How Proof Is Made
Sign In
Text size
100%
Theme
Theorem

Poynting's Theorem

Mathematical Physics

In electrodynamics, Poynting's theorem is a statement of conservation of energy for electromagnetic fields, developed by the British physicist John Henry Poynting. It states that within a given volume the stored energy changes at a rate equal to the work done on the charges inside the volume minus the rate at which energy leaves the volume, a relationship strictly true only in non-dispersive media though it can be extended to the dispersive case, and it is mathematically analogous to the work-energy theorem of classical mechanics and to the continuity equation.

Facts
Statement
The rate of energy transfer per unit volume out of a region of space equals the rate of work done on the charge distribution in that region plus the energy flux leaving through the region boundary. 1
Proof Year
1884 1
Classification
Statement Form
Identity or Equation 1
Connections

Has Statement Form

Equation, Concepts
Identity, Concepts

In Branch

Source Poynting's theorem, Wikipedia
Sources
1. Poynting's theorem, Wikipedia
  • Definition section
    Poynting's theorem states that the rate of energy transfer per unit volume from a region of space equals the rate of work done on the charge distribution in the region, plus the energy flux leaving that region.
  • References
    Poynting, J. H. (January 1884). "On the Transfer of Energy in the Electromagnetic Field"
  • In Group: Electromagnetism, Optics and Continuum Mechanics, Lead section
    In electrodynamics, Poynting's theorem is a statement of conservation
  • In Branch: Mathematical Physics, Lead section
    In electrodynamics, Poynting's theorem is a statement of conservation
View the Source
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.