Consider a cylindrical capacitor made out of two \"long\" metalcylindrical shells of length L. The outer one has a radius R andthe inner one has a radius r. Now Q Coulombs of charge are removedfrom the outer cylinder and moved to the inner cylinder.
-Using Gauss's Law, derive an expression for the field in thegap between cylindrical shells. Please state the
symmetry argument clearly as well as choice for Gaussian surfaceused and why.
-Now that you have the field, take a unit positive charge for a\"walk\" from one cylinder to the other and find the work done,
and thus calculate the capacitance of the cylindricalcapacitor.
