1. Consider an infinite parallel plate capacitor, with the lower plate (at z = -d/2) carrying the charge density - and the upper plate (at z = +d/2) carrying the charge density +. a) Determine all nine elements of the stress tensor, in the region between the plates. Display your answer as a 3X3 matrix. b) What is the momentum per unit area, per unit time, crossing the xy plane (or any other plane parallel to that one, between the plates.) do 2. Noting that = fj da show that dt = j. dt 3. Recall that S is the energy flux density. Suppose a charge and current configuration on a wire with radius a, oriented on the z axis give the following E and B fields on the surface of the wire: E = -2 and B = a. Hol . Find the energy flux density. (V is the potential difference across the wire, L is the length of the wire.) b. In what direction is the energy flux density? Describe in your own words what this means. C. Find the energy per unit time passing through the surface of the wire (f S. da.) d. If V=50 V and I = 2 Amps what is the energy per unit time passing through the surface? 4. A very long thin line of charge oriented along the z axis produces the following fields: E = Sand B-Hol 2 coordinate. 2s . is the charge per length, I is the current, and s is our usual cylindrical a. Find the Poynting Vector, S. b. Find the momentum/length stored in the field in the region making a cylinder around the wire between s = 2 m, and s = 1 m, in terms of the give quantities.