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 \(2.0 \times 10^{-4} \, \text{m}\) and \(1.2 \times 10^{-1} \, \text{m}\), respectively. The outer surface of the tube is a conducting cylindrical shell that has an inner radius of \(1.5 \times 10^{-2} \, \text{m}\). The shell is coaxial with the wire and has the same length \((0.12 \, \text{m})\).(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 \(1.20 \, \text{kV}\). \(\_\_\_\_\_\) C/m

Given data- radius of the central wire a=2.0 x 10-4 m length of the central wire L=1.2 x 10-1 m=0.12 m The outer surface of the tube is a conducting cylindrical shell that has an inner radius b=1.5 x 10-2 m dielectric constant k=1 solution-

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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. (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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

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 \(2.0 \times 10^{-4} \, \text{m}\) and \(1.2 \times 10^{-1} \, \text{m}\), respectively. The outer surface of the tube is a conducting cylindrical shell that has an inner radius of \(1.5 \times 10^{-2} \, \text{m}\). The shell is coaxial with the wire and has the same length \((0.12 \, \text{m})\).

(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 \(1.20 \, \text{kV}\).
\(\_\_\_\_\_\) C/m

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