lecture03 - 4. Gausss law 4.1 Electric flux Definition:...

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Unformatted text preview: 4. Gausss law 4.1 Electric flux Definition: Uniform electric field N N A N E N ~ cos ~ ~ ~ A E EA A E EA E = = = = cos Not uniform electric field Perpendicular to the area E E - number of electric field lines N A area [ ] Vm C Nm E = = 2 Units: A d E dA E d E = = cos = = = A d E dA E d E E cos dA A Example: Flux through open surface Compare the electric flux through two squares of areas A 1 and A 2 ( A 2 > A 1 ) placed in a region with a uniform electric field E : A. 1 < 2 B. 1 = 2 C. 1 > 2 A 1 (Side view ) The number of lines going through them is the same. The effective area for the large square is A 2cos = A 1 A 2 E A 2 cos If you reverse the direction of A, you reverse the sign of the flux For an open surface , choose any direction For a closed surface it is conventional to take the area vector pointing outwards > 0 lines going out < 0 lines coming in = 0 no lines or a balance between incoming and outgoing lines A 2 E E The net flux is zero in both cases! Every line that comes in, goes out....
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lecture03 - 4. Gausss law 4.1 Electric flux Definition:...

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