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Maxwell's Stress Tensor 
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#1
Jan2205, 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(EiEj0.5\delta ij E^2)+1/\mu (BiBj0.5\delta ij B^2)[/tex] By calculating the Efield 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. 


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