What is the energy density of the electric field ?

In summary, energy density refers to the amount of energy stored per unit volume or mass of a substance. The electric field is a physical quantity that describes the effect of electric forces on charged particles and is related to the energy density of the electric field. The energy density of the electric field is affected by factors such as the strength of the electric field, the permittivity of the medium, and the distance from the charged object.
  • #1
pr_angeleyes
9
0
Two large non-conducting plates of surface area A = 0.25 m^2 carry equal but opposite charges Q = 75 uC. What is the energy density of the electric field between the two plates?


My attempt:

E=(charge density)/epsilon

And
U=1/2*epsilon*E^2

So
U=0.5(charge density)^2/epsilon

=0.5*(75*10^-6/0.25)^2/(8.85*10^-12)

=5084.75J/m^3 = 5.1 x 10^3 J/m^3

is this right?
 
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  • #2
Your formulas look correct, can't say about the calculations.
 

Related to What is the energy density of the electric field ?

1. What is energy density?

Energy density refers to the amount of energy stored per unit volume or mass of a substance. It is a measure of the concentration of energy in a given space.

2. What is the electric field?

The electric field is a physical quantity that describes the effect of electric forces on charged particles. It is a vector field that is present around any charged object and can exert a force on other charged objects placed in its vicinity.

3. What is the energy density of the electric field?

The energy density of the electric field is the amount of energy stored in the electric field per unit volume. It is given by the formula u = 0.5 * ε * E^2, where ε is the permittivity of the medium and E is the magnitude of the electric field.

4. How is energy density of the electric field related to electric potential?

The electric potential is a measure of the electric potential energy per unit charge. It is related to the energy density of the electric field through the equation u = ε * V^2, where V is the electric potential.

5. What factors affect the energy density of the electric field?

The energy density of the electric field is affected by the strength of the electric field, the permittivity of the medium, and the distance from the charged object. It also depends on the direction and orientation of the electric field lines.

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