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(--.-Problem 8: A spherical capacitor consists of a single conducting sphere of radius R 14 crm that carries a positive charge Q = 55 nC. The capacitance for this spherical capacitor is given by the equation C 4TeQR Banchi, Stephen-banchis3@students.rowan.edu @theexpertta.com- tracking id: 2N74-2F-82-4A-BAAB-13143. In accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account Part (a) Write an equation for the energy stored in a spherical capacitor when a charge Q is placed on the capacitor. Write your equation in terms of R, Q, and e,o Part (b) Use Gauss's Law to write an equation for the electric field everywhere inside the spherical capacitor (r< R) Δ . ,"、(Part (c) Use Gauss's Law to write an equation for the radial electric field at a radius r outside the spherical capacitor. Give your answer in terms of Q, r, and eo Part (d) Write an equation for the energy density due to the electric field outside the spherical capacitor in terms of Q, r, and έ0 -| Δ :Part (e) Consider a thin spherical shell of thickness dr and radius r > R that is concentric with the spherical capacitor. Write an equation for the total energy contained in the shell in terms of Q, r, dr, and eo -a" K/, Part (f) Find the total energy stored in the field by integrating the energy over the radius outside the conducting shell. Write this total energy contained in the shell in terms of , R, and є0 > Part (g) Calculate the energy stored in the capacitor in units of microjoules. sinO HOM cos cotanasi tan() acos) 456 atan()acotan) |sinh() coshtanh)cotanh() Degrees Radians BACKS Submit Hint I give up!

(--.-Problem 8: A spherical capacitor consists of a single conducting sphere of radius R 14 crm that carries a positive charge Q = 55 nC. The capacitance for this spherical capacitor is given by the equation C 4TeQR Banchi, Stephen-banchis3@students.rowan.edu @theexpertta.com- tracking id: 2N74-2F-82-4A-BAAB-13143. In accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account Part (a) Write an equation for the energy stored in a spherical capacitor when a charge Q is placed on the capacitor. Write your equation in terms of R, Q, and e,o Part (b) Use Gauss's Law to write an equation for the electric field everywhere inside the spherical capacitor (r< R) Δ . ,"、(Part (c) Use Gauss's Law to write an equation for the radial electric field at a radius r outside the spherical capacitor. Give your answer in terms of Q, r, and eo Part (d) Write an equation for the energy density due to the electric field outside the spherical capacitor in terms of Q, r, and έ0 -| Δ :Part (e) Consider a thin spherical shell of thickness dr and radius r > R that is concentric with the spherical capacitor. Write an equation for the total energy contained in the shell in terms of Q, r, dr, and eo -a" K/, Part (f) Find the total energy stored in the field by integrating the energy over the radius outside the conducting shell. Write this total energy contained in the shell in terms of , R, and є0 > Part (g) Calculate the energy stored in the capacitor in units of microjoules. sinO HOM cos cotanasi tan() acos) 456 atan()acotan) |sinh() coshtanh)cotanh() Degrees Radians BACKS Submit Hint I give up!

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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(--.-Problem 8: A spherical capacitor consists of a single conducting sphere of radius R 14 crm that carries a positive charge Q = 55 nC. The capacitance for this spherical capacitor is given by the equation C 4TeQR Banchi, Stephen-banchis3@students.rowan.edu @theexpertta.com- tracking id: 2N74-2F-82-4A-BAAB-13143. In accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account Part (a) Write an equation for the energy stored in a spherical capacitor when a charge Q is placed on the capacitor. Write your equation in terms of R, Q, and e,o Part (b) Use Gauss's Law to write an equation for the electric field everywhere inside the spherical capacitor (r< R) Δ . ,"、(Part (c) Use Gauss's Law to write an equation for the radial electric field at a radius r outside the spherical capacitor. Give your answer in terms of Q, r, and eo Part (d) Write an equation for the energy density due to the electric field outside the spherical capacitor in terms of Q, r, and έ0 -| Δ :Part (e) Consider a thin spherical shell of thickness dr and radius r > R that is concentric with the spherical capacitor. Write an equation for the total energy contained in the shell in terms of Q, r, dr, and eo -a" K/, Part (f) Find the total energy stored in the field by integrating the energy over the radius outside the conducting shell. Write this total energy contained in the shell in terms of , R, and є0 > Part (g) Calculate the energy stored in the capacitor in units of microjoules. sinO HOM cos cotanasi tan() acos) 456 atan()acotan) |sinh() coshtanh)cotanh() Degrees Radians BACKS Submit Hint I give up!
Transcribed Image Text:(--.-Problem 8: A spherical capacitor consists of a single conducting sphere of radius R 14 crm that carries a positive charge Q = 55 nC. The capacitance for this spherical capacitor is given by the equation C 4TeQR Banchi, Stephen-banchis3@students.rowan.edu @theexpertta.com- tracking id: 2N74-2F-82-4A-BAAB-13143. In accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account Part (a) Write an equation for the energy stored in a spherical capacitor when a charge Q is placed on the capacitor. Write your equation in terms of R, Q, and e,o Part (b) Use Gauss's Law to write an equation for the electric field everywhere inside the spherical capacitor (r< R) Δ . ,"、(Part (c) Use Gauss's Law to write an equation for the radial electric field at a radius r outside the spherical capacitor. Give your answer in terms of Q, r, and eo Part (d) Write an equation for the energy density due to the electric field outside the spherical capacitor in terms of Q, r, and έ0 -| Δ :Part (e) Consider a thin spherical shell of thickness dr and radius r > R that is concentric with the spherical capacitor. Write an equation for the total energy contained in the shell in terms of Q, r, dr, and eo -a" K/, Part (f) Find the total energy stored in the field by integrating the energy over the radius outside the conducting shell. Write this total energy contained in the shell in terms of , R, and є0 > Part (g) Calculate the energy stored in the capacitor in units of microjoules. sinO HOM cos cotanasi tan() acos) 456 atan()acotan) |sinh() coshtanh)cotanh() Degrees Radians BACKS Submit Hint I give up!
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