6B Ch 22-Gauss Law

Identify the symmetry and choose a gaussian surface

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Unformatted text preview: ll cylinder whose axis is perpendicular to the plane for the Gaussian surface Field Due to a Plane of Charge •  E must be perpendicular to the plane and must have the same magnitude at all points equidistance from the plane •  Choose a small cylinder whose axis is perpendicular to the plane for the Gaussian surface Procedure for Gauss s law problems: 1.  Identify the symmetry, and choose a gaussian surface that takes advantage of it (with surfaces along surfaces of constant field). 2.  Draw the surface. 3.  Use the symmetry to find the direction of E. 4.  Evaluate the flux by integrating. 5.  Calculate the enclosed charge. 6.  Solve for the field. Properties of a Conductor in Electrostatic Equilibrium •  The electric field is zero everywhere inside the conductor •  If an isolated conductor carries a charge, the charge resides entirely on its surface •  The electric field just outside a charged conductor is perpendicular to the surface and has a magnitude of σ/εo •  On an irregularly shaped conductor, the surface charge density is greatest at locations where the radius of curvature is the smallest Property 1: Einside = 0 •  Consider a conducting slab in an external field E •...
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