Hello , so if I understand this correctly Capacitors store Energy By storing Electric Flux Density due to the Material Response term "P" in the die-electric material
There are two ways to store electric energy: (1) in the field itself, and (2) in matter at displaced charge. A capacitor would still store energy even if it had only vacuum between the plates. Added a dielectric increases capacitance because it introduces the second way to store electric energy. The ability to store electric energy in the field or in matter is all quantified by the permittivity. The relative permittivity is not zero in vacuum, it is one to account for the ability to store energy in the field itself. Anything above a value of 1 is combining the ability to store energy in the field and in matter. Hope this helps!!!
Excellent video. I wish that anisotropic and other types of materials were covered more. Even in grad school, they are glossed over for simplicities sake.
Many topics have to be cut in order to cover other topics. It is very frustrating having to make these decisions! If you want to learn a little more about anisotropy, checkout the series of videos under Topic 2 here: empossible.net/academics/emp6303/
Is your M defined differently to the literature? You have it as M = mu_0 chi_m H while wikipedia has it as M = chi_m H correspondingly a different constituitive relation you have B = mu_0 H + M while wikipedia has B = mu_0 ( H + M )
I should add some more notes about this. There is the magnetization and then there is the magnetic polarization. In the notes, I am using magnetic polarization to be consistent with the electric polarization. Unfortunately, I used the letter M for magnetic polarization which is most often used for magnetization. I did this avoid using I and J for magnetic polarization that would be confused with current and electric current density.
Really clear and effective presentation! Thank you!!!
Thank you very much!! Your explanation was really clear!
Hello , so if I understand this correctly Capacitors store Energy By storing Electric Flux Density due to the Material Response term "P" in the die-electric material
There are two ways to store electric energy: (1) in the field itself, and (2) in matter at displaced charge. A capacitor would still store energy even if it had only vacuum between the plates. Added a dielectric increases capacitance because it introduces the second way to store electric energy.
The ability to store electric energy in the field or in matter is all quantified by the permittivity. The relative permittivity is not zero in vacuum, it is one to account for the ability to store energy in the field itself. Anything above a value of 1 is combining the ability to store energy in the field and in matter.
Hope this helps!!!
Excellent video. I wish that anisotropic and other types of materials were covered more. Even in grad school, they are glossed over for simplicities sake.
Many topics have to be cut in order to cover other topics. It is very frustrating having to make these decisions! If you want to learn a little more about anisotropy, checkout the series of videos under Topic 2 here:
empossible.net/academics/emp6303/
nice, clear, and easy
Is your M defined differently to the literature? You have it as M = mu_0 chi_m H while wikipedia has it as M = chi_m H correspondingly a different constituitive relation you have B = mu_0 H + M while wikipedia has B = mu_0 ( H + M )
I should add some more notes about this. There is the magnetization and then there is the magnetic polarization. In the notes, I am using magnetic polarization to be consistent with the electric polarization. Unfortunately, I used the letter M for magnetic polarization which is most often used for magnetization. I did this avoid using I and J for magnetic polarization that would be confused with current and electric current density.