Tuesday, April 20, 2010

Electromagnetic Energy

Calculating work needed to create an electric or magnetic field in unit volume (say, in a capacitor or an inductor) results in the electric and magnetic fields energy densities:

 u_e=\frac{\epsilon_0}{2} E^2

and

 u_m=\frac{1}{2\mu_0} B^2 ,

in SI units.

Electromagnetic radiation, such as microwaves, visible light or gamma rays, represents a flow of electromagnetic energy. Applying the above expressions to magnetic and electric components of electromagnetic field both the volumetric density and the flow of energy in e/m field can be calculated. The resulting Poynting vector, which is expressed as

\mathbf{S} = \frac{1}{\mu} \mathbf{E} \times \mathbf{B},

in SI units, gives the density of the flow of energy and its direction.

The energy of electromagnetic radiation is quantized (has discrete energy levels). The spacing between these levels is equal to

E = hν

where h is the Planck constant, 6.6260693(11)×10−34 Js,[19] and ν is the frequency of the radiation. This quantity of electromagnetic energy is usually called a photon. The photons which make up visible light have energies of 270–520 yJ, equivalent to 160–310 kJ/mol, the strength of weaker chemical bonds.

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