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A dielectric sphere of radius a and permittivity ɛ is situated in vacuum and charged through its density by
a volume charge density of free charges p = Po, R being the distance from the center of the sphere.
Determine,
a) Electrostatic energy of the system,
b) Change in the electrostatic energy of the system if a point charge, Q, is added to the system at
the center of the sphere.

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