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Encyclopedia > Poynting theorem

The Poynting theorem is a statement due to John Henry Poynting about the conservation of energy for the electromagnetic field. It relates the time derivative of the energy density, u, to the energy flow and the rate at which the fields do work. It is summarised by the following formula

where S is the Poynting vector representing the flow of energy, J is the current density and E is the electric field. Since the magnetic field does no work, the right hand side gives the total work done by the electromagnetic field.


See also

Poynting flux, Poynting vector


External links


  Results from FactBites:
 
Energy (1115 words)
The primary source of the conservation of energy theorem has been, and will continue to be, the experimental impossibility of perpetual motion, an impossibility that must exist whatever our ideas may be on the portions of energy that the ether is obliged to supply in the absence of material bodies.
Poynting's theorem, in demanding only the possibility of the transformation of an integral of volume (already partly arbitrary) to an integral of surface, expresses a lot less.
Poynting's theorem expresses the law of energy only when we replace the fields with their representations based on retarded potentials, a restriction which removes a lot of its elegance and scope.
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