ECE106 Lecture 33: ECE 106,University of Waterloo,(p33)

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If we were plotting e as r is changed from 0 to , we would get: Well it has changed a few things which will be apparent later. Example 3 : we have a conductor which is arbitrarily shaped. If we touch it with a charged rod, we would release a charge q on it. Possibilities are here: charge uniformly distributed over the conductor, charge is accumulated in the cen- ter, charge is uniformly distributed on the surface, none of the above! option (b) is ridiculous! So if free to move, why should they accumulate in the center? in general, (a) and (b) are ruled out by gauss law. If we draw a closed surface inside the conductor as seen here: So if the charge was within the conductor, qenc would have a finite value and then e d s will have to exist and thus e would exist. So the answer cannot be (a) or (b).

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