Lecture 23b - Making sense of Gauss’ Law • E field...

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Unformatted text preview: Making sense of Gauss’ Law • E field lines start on + charge, end on – charge • Think about a box with field lines going in and out of the surface # of lines out – # of lines in Q inside the box flux out – flux in Q inside Net flux Q inside net flux = Q inside / 0 (Gauss) add flux thru’ each surface of the box to get the net flux: E 1 •A 1 + E 2 •A 2 + E 3 •A 3 + … = Q inside / E i •A i = Q inside / 0 ∙ ? = ?? For small bits of surface dA, the sum becomes an integral over the surface Gauss: Net Flux through a surface depends only on the charge inside =E(4 r 2 ) Consider a Gaussian sphere around a point charge The flux through the spherical surface is Applications of Gauss’ Law 1) We can use Gauss’ Law to prove some important properties of metals 2) In situations with a high degree of symmetry, Gauss's Law can allow for a quick calculation of the E-field. A charged isolated conductor Q: Say we add some excess electrons to a copper ball. How would the extra electrons distribute themselves? A. Uniformly throughout B. On the surface only 5 Conductors in Electrostatic Equilibrium E = 0 inside a conductor in equilibrium !...
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This note was uploaded on 02/05/2011 for the course PHYS 220B taught by Professor Preminger during the Fall '10 term at CSU Northridge.

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Lecture 23b - Making sense of Gauss’ Law • E field...

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