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A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius Rj - arge per unit length of 2 = 30 µC/m. The outer cylinder has radius R2 = 65 cm and carries an equal but opposite charge distribution as the inner cyl cm and carries a (a) Use Gauss' Law to write an equation for the electric field at a distance R

A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius Rj - arge per unit length of 2 = 30 µC/m. The outer cylinder has radius R2 = 65 cm and carries an equal but opposite charge distribution as the inner cyl cm and carries a (a) Use Gauss' Law to write an equation for the electric field at a distance R

College Physics
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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A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R = 19 cm and carries a 1 charge per unit length of 2 = 30 µC/m. The outer cylinder has radius R2= 65 cm and carries an equal but opposite charge distribution as the inner cyl: (a) Use Gauss' Law to write an equation for the electric field at a distance R,<r<R2 from the center of the cylinders. Write your a terms of 2, r, and en. 7 8 9. НOME ↑^^ 4 5 d dr 1 2 3 h + END t VO BACKSРАСЕ CLEAR r DEL (b) Calculate the electric potential difference between the outside and the inside cylinders in V. (c) Calculate the capacitance per unit length of these concentric cylinders in F/m. (d) Calculate the energy stored in the capacitor per unit length, in units of J/m. (e) Write an equation for the energy density due to the electric field between the cylinders in terms of 2, r, and eo. (f) Consider a thin cylindrical shell of thickness dr and radius R1 <r<R2 that is concentric with the cylindrical capacitor. Write an for the total energy per unit length contained in the shell in terms of 1, r, dr, and ɛ0. (g) Calculate the energy stored per unit length in the capacitor in units of joules per meter.
Transcribed Image Text:A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R = 19 cm and carries a 1 charge per unit length of 2 = 30 µC/m. The outer cylinder has radius R2= 65 cm and carries an equal but opposite charge distribution as the inner cyl: (a) Use Gauss' Law to write an equation for the electric field at a distance R,<r<R2 from the center of the cylinders. Write your a terms of 2, r, and en. 7 8 9. НOME ↑^^ 4 5 d dr 1 2 3 h + END t VO BACKSРАСЕ CLEAR r DEL (b) Calculate the electric potential difference between the outside and the inside cylinders in V. (c) Calculate the capacitance per unit length of these concentric cylinders in F/m. (d) Calculate the energy stored in the capacitor per unit length, in units of J/m. (e) Write an equation for the energy density due to the electric field between the cylinders in terms of 2, r, and eo. (f) Consider a thin cylindrical shell of thickness dr and radius R1 <r<R2 that is concentric with the cylindrical capacitor. Write an for the total energy per unit length contained in the shell in terms of 1, r, dr, and ɛ0. (g) Calculate the energy stored per unit length in the capacitor in units of joules per meter.
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