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Problem 7: A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R1 = 19 cm and carries a uniform charge per unit length of A = 30 µC/m. The outer cylinder has radius R2 = 75 cm and carries an equal but opposite charge distribution as the inner cylinder.

Problem 7: A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R1 = 19 cm and carries a uniform charge per unit length of A = 30 µC/m. The outer cylinder has radius R2 = 75 cm and carries an equal but opposite charge distribution as the inner cylinder.

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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can you please ans (c), (d) & (e)? 

Problem 7: A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R1 = 19 cm and carries a uniform charge per unit length of A = 30 µC/m. The outer cylinder has radius R2 = 75 cm and carries an equal but opposite charge distribution as the inner cylinder. Part (a) Use Gauss' Law to write an equation for the electric field at a distance R1 <r < R2 from the center of the cylinders. Write your answer in terms of 1, r, and eo. Expression : E = Select from the variables below to write your expression. Note that all variables may not be required. a, B, e0, A, T, O, d, dr, g, h, j, m, P, r, t Part (b) Calculate the electric potential difference between the outside and the inside cylinders in V. Numeric : A numeric value is expected and not an expression. AV = Part (c) Calculate the capacitance per unit length of these concentric cylinders in F/m. Numeric : A numeric value is expected and not an expression. CA = Part (d) Calculate the energy stored in the capacitor per unit length, in units of J/m. Numeric : A numeric value is expected and not an expression. UN = Part (e) Write an equation for the energy density due to the electric field between the cylinders in terms of 2, r, and en. Expression : u = Select from the variables below to write your expression. Note that all variables may not be required. a, B, e0, A, T, O, d, dr, g, h, j, m, P, r, t Part (f) Consider a thin cylindrical shell of thickness dr and radius R1 <r < R2 that is concentric with the cylindrical capacitor. Write an equation for the total energy per unit length contained in the shell in terms of 1, r, dr, and ɛo. Expression : dU = Select from the variables below to write your expression. Note that all variables may not be required. a, B, £0, A, T, 0, dr, g, h, j, m, P, r, t, u Part (g) Calculate the energy stored per unit length in the capacitor in units of joules per meter. Numeric : A numeric value is expected and not an expression. UN =
Transcribed Image Text:Problem 7: A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R1 = 19 cm and carries a uniform charge per unit length of A = 30 µC/m. The outer cylinder has radius R2 = 75 cm and carries an equal but opposite charge distribution as the inner cylinder. Part (a) Use Gauss' Law to write an equation for the electric field at a distance R1 <r < R2 from the center of the cylinders. Write your answer in terms of 1, r, and eo. Expression : E = Select from the variables below to write your expression. Note that all variables may not be required. a, B, e0, A, T, O, d, dr, g, h, j, m, P, r, t Part (b) Calculate the electric potential difference between the outside and the inside cylinders in V. Numeric : A numeric value is expected and not an expression. AV = Part (c) Calculate the capacitance per unit length of these concentric cylinders in F/m. Numeric : A numeric value is expected and not an expression. CA = Part (d) Calculate the energy stored in the capacitor per unit length, in units of J/m. Numeric : A numeric value is expected and not an expression. UN = Part (e) Write an equation for the energy density due to the electric field between the cylinders in terms of 2, r, and en. Expression : u = Select from the variables below to write your expression. Note that all variables may not be required. a, B, e0, A, T, O, d, dr, g, h, j, m, P, r, t Part (f) Consider a thin cylindrical shell of thickness dr and radius R1 <r < R2 that is concentric with the cylindrical capacitor. Write an equation for the total energy per unit length contained in the shell in terms of 1, r, dr, and ɛo. Expression : dU = Select from the variables below to write your expression. Note that all variables may not be required. a, B, £0, A, T, 0, dr, g, h, j, m, P, r, t, u Part (g) Calculate the energy stored per unit length in the capacitor in units of joules per meter. Numeric : A numeric value is expected and not an expression. UN =
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