2. Find the energy stored in the electric field of a conducting sphere of radius R...

 

Transcribed Image Text:

2. Find the energy stored in the electric field of a conducting sphere of radius R and charge Q. Integrate the energy density u= over the entire space. Use spherical E 2 coordinates. a. What is the electric field inside the sphere? b. What is the electric field outside the sphere? c. What is the differential element of volume in spherical coordinates? d. Set up the integral and evaluate it. e. Compare the energy obtained by finding the work required to charge the sphere: U = f Vdq 2. Find the energy stored in the electric field of a conducting sphere of radius R and charge Q. Integrate the energy density u= over the entire space. Use spherical E 2 coordinates. a. What is the electric field inside the sphere? b. What is the electric field outside the sphere? c. What is the differential element of volume in spherical coordinates? d. Set up the integral and evaluate it. e. Compare the energy obtained by finding the work required to charge the sphere: U = f Vdq