Finding Electric & Magnetic Field Energy Densities in a Dielectric Medium

In summary, the conversation discusses finding the power dissipated per unit volume, electric field energy density, and magnetic field energy density in a perfect dielectric medium. The equations and resources for solving this problem are mentioned and the concept of power flow density vector is introduced. The individual asking for help is advised to read more about the topic before attempting to solve the problem due today.
  • #1
robert25pl
62
0
If current densities are given in a perfect dielectric medium having [tex]\epsilon , \mu[/tex]
I have to find the power dissipated per unit volume, the electric field energy density, and the magnetic field energy density everywhere.
Can I get help with equations?
 
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  • #2
These are standard equations (outcomes of electromagnetic theory) and you should be able to find them even in a basic treatment of electromagnetic waves (for example, in books like Krane, Sears/Zemansky, etc). You could even search on google.com. What is your specific trouble with them?
 
  • #3
Given
[tex]E=J_{so}cos(\omega t-\beta z) \vec{i} [/tex]
and
[tex]H=\frac{J_{so}}{2}cos(\omega t-\beta z) \vec{j} [/tex]

I have to find power flow density vector(this i know is a P=ExH pointing vector the power)
the dissipated per unit volume, the electric field energy density, and the magnetic field energy density everywhere.
 
  • #4
Any help with this problem. Its due today. Thanks
 

FAQ: Finding Electric & Magnetic Field Energy Densities in a Dielectric Medium

What is a dielectric medium?

A dielectric medium is a material that does not conduct electricity easily. Examples include rubber, glass, and plastic.

Why is it important to find the electric and magnetic field energy densities in a dielectric medium?

Understanding the energy densities in a dielectric medium is important for designing and analyzing electronic devices, as well as for understanding the behavior of electromagnetic waves.

How are electric and magnetic field energy densities related?

Electric and magnetic field energy densities are related through the permittivity and permeability of the medium. The electric field energy density is given by 1/2 * epsilon * E^2, while the magnetic field energy density is given by 1/2 * mu * H^2, where epsilon and mu are the permittivity and permeability, respectively.

What factors affect the electric and magnetic field energy densities in a dielectric medium?

The electric and magnetic field energy densities are affected by the properties of the medium, such as its permittivity and permeability, as well as the strength and direction of the electric and magnetic fields.

How can the electric and magnetic field energy densities be measured in a dielectric medium?

The electric and magnetic field energy densities can be measured using specialized equipment, such as a Gaussmeter or an electric field meter. These devices can detect and measure the strength of the electric and magnetic fields in a dielectric medium, allowing for the calculation of the energy densities.

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