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Jan17note - PHYS142 Lecture 5 Gausss Law Chapter 24 All...

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Gauss’s Law • Chapter 24 All sections 24.1 Electric Flux 24.2 Gauss’s Law 24.3 Application of Gauss’s Law to Various Charge Distributions 24.4 Conductors in Electrostatic Equilibrium 2 PHYS142 Lecture 5
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Gauss’s Law: o in q A d E 3 Summary of Gauss’s law • The integration is performed over a closed surface . q in is the charge inside the closed surface . • The relation holds for any closed surface containing q in . q in can be charge distribution .
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Rank the electric fluxes through each gaussian surface shown in the following figure from largest to smallest. Display any cases of equality in your ranking. 1 2 3 4 11% 9% 78% 3% Question 1 1. a > b > c > d 2. b > a > d > c 3. c > a = b > d 4. d > b = c > a
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In applying Gauss’s law, the choice of the closed surface, the gaussian surface , is very important. It must have the symmetry of the charge distribution so that the integral becomes trivial to evaluate. For example, E can be a constant over the surface (Example 24.3) or E and dA can be parallel or perpendicular to each other over the surface. (Example 24.5) 5 Application of Gauss’s law (24.3)
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Example 24.3 : An insulating solid sphere of radius R has a uniform charge distribution with total charge
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This note was uploaded on 02/22/2011 for the course PHYS 142 taught by Professor Altounian during the Spring '07 term at McGill.

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Jan17note - PHYS142 Lecture 5 Gausss Law Chapter 24 All...

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