- #1
elsevers
- 1
- 0
Hello,
I am trying to understand the Maxwell Stress Tensor. Specifically, I would like to know if it is coordinate-system dependent (and if so, what the expressions are for the stress tensor in cylindrical and spherical coordinates).
Griffiths gives the definition of the maxwell stress tensor in EQ8.19:
[tex]
T_{ij} = \epsilon_0 (E_i E_j - \tfrac{1}{2} \delta_{ij} E^2) + \frac{1}{\mu_0} (B_i B_j - \tfrac{1}{2} \delta_{ij} B^2)
[/tex]
where Griffiths says i and j can be x, y, z -- now can they also by r, z, phi or r, theta, phi? (or do we require a new definition for the stress tensor to handle cylindrical and spherical coordinates?)
Any comments would be really appreciated! Thanks!
Eric
I am trying to understand the Maxwell Stress Tensor. Specifically, I would like to know if it is coordinate-system dependent (and if so, what the expressions are for the stress tensor in cylindrical and spherical coordinates).
Griffiths gives the definition of the maxwell stress tensor in EQ8.19:
[tex]
T_{ij} = \epsilon_0 (E_i E_j - \tfrac{1}{2} \delta_{ij} E^2) + \frac{1}{\mu_0} (B_i B_j - \tfrac{1}{2} \delta_{ij} B^2)
[/tex]
where Griffiths says i and j can be x, y, z -- now can they also by r, z, phi or r, theta, phi? (or do we require a new definition for the stress tensor to handle cylindrical and spherical coordinates?)
Any comments would be really appreciated! Thanks!
Eric
Last edited: