Gaussian surfaces are usually carefully chosen to exploit symmetries of a situation to simplify the calculation of the surface integral. If the Gaussian surface is chosen such that for every point on the surface the component of the electric field along the normal vector is constant, then the calculation will not require difficult integration as the constant can be pulled out of the integration sign.A spherical Gaussian surface is used when finding the electric field or the flux produced by any of the following:a point charge ,a uniformly distributed spherical shell of charge ,any other charge distribution with spherical symmetry
Gausss law may be used to determine the electric field E produced
by charge distributions with high symmetry.
For an infinitely long line of charge with charge density lambda
C/m, the electric field at a distance r from the line is E = lambda /(2*pi*epsilon_0*r), and is radial.
For an infinite sheet of charge with density sigma C/m^2, E = sigma
Between the plates of a parallel plate capacitor, E = sigma /
epsilon_0. Outside, E = 0.
For a conductor in electrostatic equilibrium, the electric field is
zero everywhere inside the conductor. Also, any excess charge added to the conductor will reside on the surface
of the conductor. At a point on the surface of the conductor, E = sigma / epsilon_0, where sigma is the surface
charge density on the conductor.
Application of Gauss's Law, Part 2
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.