# 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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## SOLUTION This solution is **FREE** courtesy of BrainMass!

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

Referenced web page is: http://web.mit.edu/6.013_book/www/chapter6/6.1.html

(you can also find the same formulae in standard textbooks).

Thanks for using BrainMass.

Â© BrainMass Inc. brainmass.com October 3, 2022, 11:22 pm ad1c9bdddf>https://brainmass.com/physics/alpha/electrostatics-solving-empty-set-214182