Energy Density in an Electric Field
المؤلف:
E. R. Huggins
المصدر:
Physics 2000
الجزء والصفحة:
673
20-12-2020
2218
Energy Density in an Electric Field
Equation (i) can be written in a form that shows that the energy stored in a capacitor is proportional to the square of the strength of the electric field. Substituting Vf = E × d and C = ε0A d into Equation (i)
.........(i)
gives
where we note that A × d is the volume inside the capacitor.
Since the energy stored in the capacitor is proportional to the volume occupied by the electric field, we see that the energy per unit volume, the energy density, is simply given by
This result, that the energy density in an electric field is proportional to the square of the strength of the field, turns out to be a far more general result than we might expect from the above derivation. It applies not just to the uniform electric field in an idealized capacitor, but to electric fields of arbitrary shape.
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