Gauss Law Flux and Gauss Law Example for flux Fluid flowing through an area A fluid moving at velocity v 10 20 14 9 18 AM If curved area Consider a closed surface Gauss Law Flux of E field through a closed surface is proportional to the charge enclosed by it o o o o If positive charge field lines go out so if surface with a positive charge inside it there could be more charges around it there will be a POSITIVE net flux o Q enclosed 0 then net E flux is OUTWARD o Q enclosed 0 then net E flux is INWARD Consider a point charge example Another example Find the field of uniformly charged sphere of radius a and charge Q Outside Inside Recap Electric Field inside the charged sphere E is electric field in whole sphere E inside is electric field inside the Gaussian surface On surface of sphere o Plotting Find E due to an infinitely long line charge with uniform charge density lambda HW exercise find Electric field everywhere for an infinite cylinder of charge with uniform charge density rho radius a find inside outside and on the surface can use a Gaussian surface cylinder inside outside and plot as a function of r Infinite sheets Find E for infinite plane with uniform charge density sigma
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