3-a) A charge Q is uniformly distributed over the volume of a solid sphere (centered at the origin)of radius R. A spherical cavity is cut out of this solid sphere, where the center of the cavity is atā = azˆ (with 0 < a < R) and the radius b of the cavity is such that a + b < R, and the chargedmaterial taken out is discarded. Determine the electrostatic potential V at a point z > R on thez-axis, assuming that V = 0 as |r| → ∞.b) Determine the electrostatic energy U stored in this sphere when the cavity is centered at theorigin, i.e. when a = 0.c) Assuming a = 0 as in part b), determine U when the radius of the cavity b → 0 and separatelywhen b → R^−. Compare these and comment on what you find.

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.