- #1
Dor
- 12
- 0
There are few thing I'm not sure of and be happy for clarifications.
In general: at steady state, what are the electric-field,potential, and current boundary conditions between a conductor and a dielectric medium?
more specific:
a) When dealing with a perfect conductor there exist a surface charge. How can I find this surface charge? And if I can't, how can I use ##\hat {\mathbf n}\cdot(D_m-D_d)=\rho_s## as a boundary condition if I don't know this ##\rho_s##?
(##D_m,D_d## are the electric displacement at the metal and dielectric medium, respectively)
* The same question holds for current density.
b) What is the difference between perfect conductor and non-perfect conductor? Why at the former there exist a surface charge but in the case of a non-perfect conductor this surface charge is zero?
c) My understanding is that at steady state, the electric field is not zero at the metal thus the electric field boundary is ##\varepsilon_m *E_m=\varepsilon_d*E_d## but then, what is the meaning of the dielectric constant of the metal ##\varepsilon_m##?
d) Is the potential at the boundary always continuous or there are cases when they are not?
e) And finally, what is the boundary conditions for the currents (tangential and normal)
In general: at steady state, what are the electric-field,potential, and current boundary conditions between a conductor and a dielectric medium?
more specific:
a) When dealing with a perfect conductor there exist a surface charge. How can I find this surface charge? And if I can't, how can I use ##\hat {\mathbf n}\cdot(D_m-D_d)=\rho_s## as a boundary condition if I don't know this ##\rho_s##?
(##D_m,D_d## are the electric displacement at the metal and dielectric medium, respectively)
* The same question holds for current density.
b) What is the difference between perfect conductor and non-perfect conductor? Why at the former there exist a surface charge but in the case of a non-perfect conductor this surface charge is zero?
c) My understanding is that at steady state, the electric field is not zero at the metal thus the electric field boundary is ##\varepsilon_m *E_m=\varepsilon_d*E_d## but then, what is the meaning of the dielectric constant of the metal ##\varepsilon_m##?
d) Is the potential at the boundary always continuous or there are cases when they are not?
e) And finally, what is the boundary conditions for the currents (tangential and normal)