Answer Happy

1. A sphere is composed of a central spherical core and a shell of thickness t = b-a. The central core supports a uniform volumetric charge density Py = 3 (constant; units are Cm-3) and has a radius = a. The shell has a volumetric charge density that varies with the radius, such that Py = 3 (units are Cm-3), and extends from a radius of a to b. Assume a permittivity to everywhere. a. Find expressions that represent the electric field everywhere in space inside the core, in the shell and outside) b. Using your result from part (a), determine the electrostatic potential at the origin (r = 0) relative to a point at r = b. You can calculate an actual voltage difference if you use a=1cm and b=1.5cm. [AV = - SĒ di = - SĒ. dř] (Please note that there's a way to calculate the potential directly without first determining Ē, but that's not what we're asking you to do here!)