A non-conducting spherical shell of inner radius a and outer radius 2a has a volume charge...

  

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A non-conducting spherical shell of inner radius a and outer radius 2a has a volume charge density p(r) = po(r/a). (a) (25 points) Use Gauss's Law to find the electric field for all r. Be aware that there are three distinct regions where you will have to determine the electric field individually. (b) (10 points) Show that your answers for r< a and a <r<2a match at r = a, and that your answers for a <r< 2a and r> 2a match at r = 2a. A non-conducting spherical shell of inner radius a and outer radius 2a has a volume charge density p(r) = po(r/a). (a) (25 points) Use Gauss's Law to find the electric field for all r. Be aware that there are three distinct regions where you will have to determine the electric field individually. (b) (10 points) Show that your answers for r< a and a <r<2a match at r = a, and that your answers for a <r< 2a and r> 2a match at r = 2a.