electric energy density
Solution
The electric energy density is the amount of energy stored in an electric field per unit volume. It is given by the formula:
U = 1/2 ε E^2
Where:
- U is the energy density
- ε is the permittivity of the medium the field is in
- E is the electric field strength
Here are the steps to calculate it:
-
Determine the permittivity of the medium. This is a measure of how much resistance is encountered when forming an electric field within the medium. For free space or vacuum, the permittivity is approximately 8.85 x 10^-12 F/m (Farads per meter).
-
Determine the electric field strength. This is a measure of the intensity of the electric field generated by a charge. It is usually given in the problem or can be calculated using Coulomb's law if the charge and distance are known.
-
Substitute the values into the formula and calculate. The result will be in Joules per cubic meter (J/m^3), as this is the unit of energy density.
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