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 x 10-4 m and 1.2 x 10-1 m, respectively. The outer surface of the tube is a conducting cylindrical shell that has an inner radius of 1.5 x 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. (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

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter19: Electric Forces And Electric Fields
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Problem 14CQ
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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 x 10-4 m and 1.2 x 10-1 m, respectively. The outer surface of the tube is a conducting cylindrical shell that has an inner
radius of 1.5 x 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
Transcribed Image Text: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 x 10-4 m and 1.2 x 10-1 m, respectively. The outer surface of the tube is a conducting cylindrical shell that has an inner radius of 1.5 x 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
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