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A sphere of radius a and dielectric constant e, has a point charge Q at its center Dielectric constant outside of the sphere is

A sphere of radius a and dielectric constant e, has a point charge Q at its center Dielectric constant outside of the sphere is 1. (i) Find electric field inside and outside of the sphere. (ii) Find the potential at the surface of the sphere. (iii) Find the potential at the center of the sphere. [10+12+8 = 30

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