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Transcript of Gauss's Law
Recall that the Electric flux can be found from:
Gauss's Law states that if you make a closed surface around some charge consentration, then the total flux through that surface is:
Gauss's Law is often used as the two together.
To make this law effective, we will choose closed surfaces (Gaussian surfaces) such that the electric field is always constant, and perpendicular, parallel to the surface.
This requires noting the symetry of the problem. Are most frequent will be:
As an example let us consider a point charge q, what is the electric field strength r distance away.
Or consider an infite line charge of Q, what is E a distance r from the line?
Finally a cylindrically charged insulator with charge density of =15 nC/m and radius of 2 cm. What is the electric field at r = 1.5 cm and r = 3 cm?
Looking at these same sources, consider the charge 'inside'