Consider a cylindrical capacitor that consists of an inner conducting cylinder(a wire) with radiusa, and an outer cylindrical shell of radiusb. the inner cylinder hastotal charge +qand the outer cylindrical shell has total charge−q. a) (2 points) find the surface charge densities on the cylinder and cylindrical shellσaandσb, respectively. b) (2 points) find thee-field everywhere. make a sketch of your solution. c) (2 points) integrate the energy density stored in thee-field. d) (2 points) find the capacitancecof this system, and then use stored energy =12cv2.5.

A3-mm-thick panel of aluminum alloy (k 177 w/m-k, c 875 j/kg-k and ? = 2770 kg/m) is finished on both sides with an epoxy coating that must be cured at or above t,-150°c for at least 5 min. the production line for the curing operation involves two steps: (1) heating in a large oven with air at ts,0-175°c and a convection coefficient of h, 40 w/m2. k, and (2) cooling in a large chamber with air at 25°c and a con- vection coefficient of he 10 w/m2.k. the heating portion of the process is conducted over a time interval te which exceeds the ime required to reach 150°c by 5 min (h = r + 300 s). the coating has an emissivity of ? = 0.8, and the temperatures of the oven and chamber walls are 175 and 25°c, respectively. if the panel is placed in the oven at an initial temperature of 25°c and removed from the chamber at a safe-to-touch tempera ture of 37°c, what is the total elapsed time for the two-step curing operation?