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Statement of a problem № 726

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Extraneous charges are uniformly distributed with space density ρ > 0 over a ball of radius R made of uniform isotropic dielectric with permittivity ε. Find: (a) the magnitude of the electric field strength as a function of distance r from the centre of the ball; draw the approximate plots E(r) and φ(r); (b) the space and surface densities of the bound charges.

Solution:
Extraneous charges are uniformly distributed with space density ρ > 0 over a ba

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