PHYS 212L Lecture 3: Gauss' Law

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E for symmetric problems if the surface is parallel to part of surface. , flux = o if it"s perpendicular, flux = ea. Law : io closed where eo is a constant example : find the electric field at the point p a distance re r from the center of the cylinder. I what is the direction of the electric field near the middle of the cylinder but not on the axis ? radially outward ( matches cylinder "s symmetry ) E symmetry of field must match symmetry of container. : draw gaussian surface c drawn in green above ) Gaussian surface is imaginary s goes through the point will always be a cylinder or sphere step 2 : equation io closed. Step 3 : write an expression for the hux ioe = io t io bottom top t io wraparound. = o electric field is perpendicular ( eia ) Io wrap around is constant s i to surface.

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