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Unformatted text preview: Electricity and Magnetism I (P331) M. R. Shepherd September 12, 2008 Application of Gauss’ Law to infinite line of charge The integral form of Gauss’ Law, I E · d a = Q enc , (1) can be particularly useful for determining the electric field produced by various charge configurations. In these instances one usually writes an expression for the left hand side of this equation in terms of E and then solves for E . In order to do this, one much choose a closed “Gaussian surface” over which to integrate the electric field. The general guidelines for picking a Gaussian surface, while not necessarily appropriate for every problem, are: • the surface should include the point at which the electric field is to be determined, and • the surface should be composed of parts or faces where either – E is parallel to d a and the magnitude of E is constant, (In this case, R S E · d a = EA , where A is the area of the surface S .) or – E is perpendicular to d a . (In this case R S E · d...
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