A spherical capacitor consists of a single conducting sphere of radius R = 12 cm that carries a positive charge Q = 55 nC. The capacitance forthis spherical capacitor is given by the equation C ='= 4περR.and eo.and &0.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,Use Gauss's law to write an equation for the electric field everywhere inside the spherical capacitor (r < R).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 80.Write an equation for the energy density due to the electric field outside the spherical capacitor in terms of Q, r,Consider a thin spherical shell of thickness dr and radius r > R that is concentric with the spherical capacitor. Write an equation for the totalenergy contained in the shell in terms of Q, r, dr, and &o.Find the total energy stored in the field by integrating the energy over the radius outside the conducting shell. Write this total energy contained inthe shell in terms of Q, R, and EO.

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A spherical capacitor consists of a single conducting sphere of radius R = 12 cm that carries a positive charge Q= 55 nC. The capacitance for this spherical capacitor is given by the equation C = 4лER. and eg and &0- 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, Use Gauss's Law to write an equation for the electric field everywhere inside the spherical capacitor (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 E. 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 Q, R, and E-

A spherical capacitor consists of a single conducting sphere of radius R = 12 cm that carries a positive charge Q= 55 nC. The capacitance for this spherical capacitor is given by the equation C = 4лER. and eg and &0- 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, Use Gauss's Law to write an equation for the electric field everywhere inside the spherical capacitor (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 E. 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 Q, R, and E-

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter8: Capacitance

Section: Chapter Questions

Problem 62P: When a 360-nF air capacitor is connected to a power supply, the energy stored in the capacitor is...

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