4. (35 points) A non-  conducting spherical shell of inner radius a and outer radius 2a has a volum…

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4. (35 points) A non-  conducting spherical shell of inner radius a and outer radius 2a has a volume charge density p(r) = Polr/a) #x27;. (a) (25 points) Use Gauss #x27; Law to find the electric field for all r. Be aware that there are three distinct regions where vou will have to determine the electric field individually: (b) (10 points) Show that your answers for r lt; a and a lt; r lt; 2a match at r = a,and that your answers for a lt; r lt; 2a and r gt; 2a match at r = 2a

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