In preparation for an experiment that you will do in your introductory nuclear physics lab, you are shown the inside of a Geiger tube. You measure the radius and the length of the central wire of the Geiger tube to be 2.0 10-4 m and 1.2 10-1 m, respectively. The outer surface of the tube is a conducting cylindrical shell that has an inner radius of 1.5 10-2 m. The shell is coaxial with the wire and has the same length (0.12 m).
(a) Calculate the capacitance of your tube, assuming that the gas in the tube has a dielectric constant of 1.00.
_____ F
(b) Calculate the value of the linear charge density on the wire when the potential difference between the wire and shell is of 1.20 kV.
_____ C/m