Thursday, 4 April 2013

Electric Field - stepwise consideration of Gauss's Law

Consider stepwise application of Gauss's law in the following three cases.
SystemInfinite line of chargeInfinite plane of chargeUniformly charged solid sphere
Identify the symmetryCylindricalPlanarSpherical
Determine the direction of 
Divide the space into different regionsr > 0z > 0 and z < 0 a and r  a
Choose Gaussian surface
Calculate electric surfaceE = E(2rl)E = EA + EA = 2EAE = = E(4r2)
Calculate enclosed charge qinqenc =  lqenc =  A
Apply Gauss's law E = qin /   to find E

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