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Unformatted text preview: Gausss Law The equation for Gausss Law is E = Q in /A (where = 9 10 ), but using it is tricky. For each of the three major shapesplanes, cylinders (including lines), and spheresan imaginary Gaussian surface encloses them at a distance from the center r and the amount of charge inside that surface is used in the calculation, hence the Q in (though this nearly always ends up expressed in terms of charge densities , , and ). The area of the surface is A , and it must be understood that the direction of the field is x for planes, and r meaning radially outward or inward from the centerfor everything else. When every possible case is analyzed, six distinct results emerge. For an infinite plane, the electric field vector is E = x / 2 . For an infinite line charge, E = r / 2 r . The other four possible situations require more thought. Their general solutions are shown in the table to the right, based on...
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This note was uploaded on 04/05/2012 for the course PHYS 131 taught by Professor Tibbets during the Spring '11 term at Cuyamaca College.
 Spring '11
 Tibbets
 Gauss' Law

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