1. A cylindrical capacitor is constructed from a cylindrical shell of length L and inside the cylindrical shell with length L and radius b. The shells carry equal and opposite charges + Q. Find the capacitance of this capacitor. (Integrate the electric field over r between the cylinders to find the potential difference V, then apply the definition of capacitance C=Q/V.) L ++ -a a. What is the electric field between the cylinders? That is between r=a and b. b. Integrate the electric field over r between r=a and b. c. Using the definition of capacitance C=Q/V, find the capacitance of the capacitor. Do this in terms of L, a, b, with needed constants.