Discussion Quiz 3 Solution

# Find the electric field a r r b r r 2q r q

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Unformatted text preview: t; R b) r > R R" λ" Now instead there is an infinitely long solid cylinder of radius R that has a charge density of ρ = 3Q/(πR2L) distributed throughout its volume. Find the electric field: a) r < R b) r > R R" 3Q" Quiz 2_2 A charge Q is at the center of a spherical shell of radius R. This shell has a charge 2Q distributed across its surface. Find the electric field: a) r < R b) r > R 2Q" R" Q" Now instead there is a solid sphere of radius R that has a charge 3Q distributed throughout its volume. Find the electric field: a) r < R b) r > R 3Q# R# Solutions: Preface Recall that the only possible type of non- uniform charge distributions that can be considered with Gauss’s Law problems are those with radial variation (for spherical and cylindrical geometries) and 1D for planar geometries (for example, ρ(x) if slab is large in the Y- Z plane; or ρ(y) if slab is large in the X- Z plane, etc. For this type of non- uniform charge distribution, only 1 variable integration is required. The idea is that you must break up...
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