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Bridging Problem: Electric-Field Energy and Capacitance of a Conducting Sphere 12 of 15 II Review | Constants A solid conducting sphere of radius R carries a charge Q. Calculate the electric-field energy density at a point a distance r from the center of the sphere for (a) r< Rand (b) r> R. (c) Calculate the total electric field energy associated with the charged sphere. (d) How much work is required to assemble the charge Q on the sphere? (e) Use the result of part (c) to find the capacitance of the sphere. (You can think of the second conductor as a hollow conducting shell of infinite radius.) (Figure 1) Part G How would the results be affected if the solid sphere were replaced by a hollow conducting sphere of the same radius R? > View Available Hint(s) O C= 4Te) R, so the capacity won't change. O C= 00 O C=0 4теоTагь O C= where ra is an inner radius, Th is an outer radius. ть — Га Submit Previous Answers All attempts used; correct answer displayed The capacity won't change; the only change will be in the electric field. We can consider that sphere as a spherical capacitor with inner radius R and outer radius tends to infinity Part H Figure < 1 of 1 > Find the potential difference between the charged sphere and infinity from C = Express your answer in terms of some, all, or none of the variables Q, En, R, and T. να ΑΣφ. Submit Request Answer Provide Feedback Next > P Pearson

Bridging Problem: Electric-Field Energy and Capacitance of a Conducting Sphere 12 of 15 II Review | Constants A solid conducting sphere of radius R carries a charge Q. Calculate the electric-field energy density at a point a distance r from the center of the sphere for (a) r< Rand (b) r> R. (c) Calculate the total electric field energy associated with the charged sphere. (d) How much work is required to assemble the charge Q on the sphere? (e) Use the result of part (c) to find the capacitance of the sphere. (You can think of the second conductor as a hollow conducting shell of infinite radius.) (Figure 1) Part G How would the results be affected if the solid sphere were replaced by a hollow conducting sphere of the same radius R? > View Available Hint(s) O C= 4Te) R, so the capacity won't change. O C= 00 O C=0 4теоTагь O C= where ra is an inner radius, Th is an outer radius. ть — Га Submit Previous Answers All attempts used; correct answer displayed The capacity won't change; the only change will be in the electric field. We can consider that sphere as a spherical capacitor with inner radius R and outer radius tends to infinity Part H Figure < 1 of 1 > Find the potential difference between the charged sphere and infinity from C = Express your answer in terms of some, all, or none of the variables Q, En, R, and T. να ΑΣφ. Submit Request Answer Provide Feedback Next > P Pearson

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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Bridging Problem: Electric-Field Energy and Capacitance of a Conducting Sphere 12 of 15 II Review | Constants A solid conducting sphere of radius R carries a charge Q. Calculate the electric-field energy density at a point a distance r from the center of the sphere for (a) r< Rand (b) r> R. (c) Calculate the total electric field energy associated with the charged sphere. (d) How much work is required to assemble the charge Q on the sphere? (e) Use the result of part (c) to find the capacitance of the sphere. (You can think of the second conductor as a hollow conducting shell of infinite radius.) (Figure 1) Part G How would the results be affected if the solid sphere were replaced by a hollow conducting sphere of the same radius R? > View Available Hint(s) O C= 4Te) R, so the capacity won't change. O C= 00 O C=0 4теоTагь O C= where ra is an inner radius, Th is an outer radius. ть — Га Submit Previous Answers All attempts used; correct answer displayed The capacity won't change; the only change will be in the electric field. We can consider that sphere as a spherical capacitor with inner radius R and outer radius tends to infinity Part H Figure < 1 of 1 > Find the potential difference between the charged sphere and infinity from C = Express your answer in terms of some, all, or none of the variables Q, En, R, and T. να ΑΣφ. Submit Request Answer Provide Feedback Next > P Pearson
Transcribed Image Text:Bridging Problem: Electric-Field Energy and Capacitance of a Conducting Sphere 12 of 15 II Review | Constants A solid conducting sphere of radius R carries a charge Q. Calculate the electric-field energy density at a point a distance r from the center of the sphere for (a) r< Rand (b) r> R. (c) Calculate the total electric field energy associated with the charged sphere. (d) How much work is required to assemble the charge Q on the sphere? (e) Use the result of part (c) to find the capacitance of the sphere. (You can think of the second conductor as a hollow conducting shell of infinite radius.) (Figure 1) Part G How would the results be affected if the solid sphere were replaced by a hollow conducting sphere of the same radius R? > View Available Hint(s) O C= 4Te) R, so the capacity won't change. O C= 00 O C=0 4теоTагь O C= where ra is an inner radius, Th is an outer radius. ть — Га Submit Previous Answers All attempts used; correct answer displayed The capacity won't change; the only change will be in the electric field. We can consider that sphere as a spherical capacitor with inner radius R and outer radius tends to infinity Part H Figure < 1 of 1 > Find the potential difference between the charged sphere and infinity from C = Express your answer in terms of some, all, or none of the variables Q, En, R, and T. να ΑΣφ. Submit Request Answer Provide Feedback Next > P Pearson
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