Solution to Quiz3

# Solution to Quiz3 - ENEE 380 Fall 2011 Discussion Quiz 3...

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ENEE 380 Fall 2011 September 16, 2011 Discussion Quiz 3 1. Calculate the electric potential inside a uniformly charged spherical shell of radius R and surface charge density . 2. Two charges (+ q and – q ) are situated at the corners of an equilateral triangle (side a ). How much work does it take to bring in another charge, + q , from far away and place it in the third corner? How much work does it take to assemble the whole configuration of three charges? 3. Using 2 2 WE d o , calculate the energy of a uniformly charged spherical shell of total charged q and radius R . (Hint: The electric field inside the shell is zero and outside the shell, it is similar to that of a point charge q located at the center of the sphere.)

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Problem 1 The integral looks exactly the same as that is given in the example in which r>R. Check your notes. The only difference is that when you come to √(R − r) 2 , it is now equal to R − r because r<R in this case. The potential inside the sphere ends up to be σR/ε 0 , which is a constant. (Why is it a constant?)
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## This note was uploaded on 02/02/2012 for the course ELECTRICAL ENEE380 taught by Professor D.romeo during the Fall '11 term at Maryland.

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Solution to Quiz3 - ENEE 380 Fall 2011 Discussion Quiz 3...

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