1. (20 points) Pictured below is a spherical conducting ball of radius a surrounded by a...

 

 

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1. (20 points) Pictured below is a spherical conducting ball of radius a surrounded by a spherical non-conducting "thick" shell of inner radius b and outer radius c. The conducting ball has a total charge of Q and the non-conducting shell has a total charge of Q2 uniformly distributed throughout its volume (i.e., the volume charge density p for the shell is constant). a. (4 points) Determine the volume charge density p of the non-conducting shell. b. (12 points) Determine the electric field at a point a distance r from the center of the conducting ball. Consider separately each case: r < a, a c. 1. (20 points) Pictured below is a spherical conducting ball of radius a surrounded by a spherical non-conducting "thick" shell of inner radius b and outer radius c. The conducting ball has a total charge of Q and the non-conducting shell has a total charge of Q2 uniformly distributed throughout its volume (i.e., the volume charge density p for the shell is constant). a. (4 points) Determine the volume charge density p of the non-conducting shell. b. (12 points) Determine the electric field at a point a distance r from the center of the conducting ball. Consider separately each case: r < a, a c.