# Electrostatics: Solving for E and the Empty Set

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Question: A sphere of radius a has a radial polarization given by P = (alpha)r^nr(hat) where alpha and n are constants and n is >/= 0. Find the volume and surface densities of bound charge. Find E outside and inside the sphere. Verify that your results for E satisfy the appropriate boundary conditions. Find the empty set outside and inside the sphere. Sketch your results for E and the empty set.

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The explanations are in the attached pdf file and two jpg ...

#### Solution Summary

This solution contains explanations and calculations for solving for E and the empty set within the context of nuclear physics.

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