4. [Total: 25 pts] Consider a innitely large parallel plate capacitor, with the lower plate [at z : d/2) carrying the charge density J, and the upper plate (at z = +df2) carrying the charge density +0. {P a) [15 pts] Calculate all nine elements of the Maxwell stress tensor T in the region between the plates, and write out the results in a 3 X 3 matrix. Also determine the Poynting vector S in the region between the plates. H b) [10 pts] Find the force per unit area. on the top plate using your T, using the relation: H d F=fT-dAEmu0 Sdr. dt In this formula, F is the total force on the charges in V. To use it in this case= just use a volume which is a very thin slab of +0 of area A and neglible thickness (so that you rlont have to calculate the thin edges of the slab). Does the direction of F make senseT using what you know about the Coulomb force? Are there any shear forces