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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)<br /> [/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)<br /> [/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
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