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Based of Volume 2 of Physics for Engineers and Scientist 3rd Edition by Ohanian and Markert
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Why is Gauss’s Law Helpful?
It Allows us to calculate electric fields of high symmetry much easier than the Columbic Method.
Electric Flux (Word Form)
Product of the area A of a surface and the normal component of the electric field.
Electric Flux (Equation Form)
E(Perpendicular)A; EACos(theta)
Electric flux for an Arbitrary Shape
Integral of E perpendicular to dA
Gauss’ Law
Electric Flux = Path Integral of Energy Field times dA = Qinside/Epsilon(nought)
Gauss’ Law Spherical
E*4pir² = Qinside/Epsilon(nought)
Gauss’ Law Cylindrical
E*2pirL = Qinside/Epsilon(nought)
Gauss’ Law Planar
2EA = Qinside/Epsilon(nought), EA = Qinside/Epsilon(nought)(Only one side inside of plane)
Electric Fields and Conductors
Fields within a conductor are Zero, and charges move to the surface of the material. This is called electrostatic equilibrium.