Register to reply

Maxwell's Stress Tensor

by mike217
Tags: maxwell, stress, tensor
Share this thread:
mike217
#1
Jan22-05, 07:48 PM
P: 16
Consider an infinite parallel plate capacitor with the lower plate (at z=-d/2) carrying the charge density[tex]- \sigma [/tex] and the upper plate (at z=d/2) carrying the charge density [tex]\sigma[/tex].

Determine all nine elements of the stress tensor in the region between the plates. Display your answer as a 3x3 matrix.

[tex]\left(\begin{array}{cc}Txx&Txy&Txz\\Tyx&Tyy&Tyz\\Tzx&Tzy&Tzz\end{array} \right)[/tex]

To calculate the matrix I must calculate [tex] Tij = \epsilon(EiEj-0.5\delta ij E^2)+1/\mu (BiBj-0.5\delta ij B^2)[/tex]

By calculating the E-field between the plates I get [tex]\sigma / \epsilon\ z[/tex]. My question is how do I calculate the other EiEj and BiBj components.

Thank you.
Phys.Org News Partner Science news on Phys.org
Apple to unveil 'iWatch' on September 9
NASA deep-space rocket, SLS, to launch in 2018
Study examines 13,000-year-old nanodiamonds from multiple locations across three continents

Register to reply

Related Discussions
Stress-energy tensor of a wire under stress Special & General Relativity 178
What is a stress tensor Classical Physics 5
Tensor gradient and maxwell's equation Special & General Relativity 2
I can't see how stress-energy tensor meets the minumum tensor requirement Special & General Relativity 4