ECE106 Lecture 23: ECE 106,University of Waterloo,(p23)

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Gauss law will only hold true if e 1 . It will not hold true even if r2 is actually r1. 999 and 2 is not an experimentally significant number. So the question we asked in the first week of the class is answered here. Example2 consider an infinite line along z with linear charge density , we had solved this previously using integrals. Calculate e at point p which is at a distance r away from the line. So let us consider a cylinder of radius r. anywhere on the cylinder surface e is in the direction of n i. e. r . No, we can get in from top and bottom. So let us put some covers on top and bottom as shown here.

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