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Use Gauss's Law in to solve problems 1 to 3, showing and justifying your
steps and using related conceptual diagrams and mathematical formula as
needed.
(1) Find the Electric Field outside an infinitely long slab with
uniform charge density sigma.
(2): Find the Electric Field (a) outside and (b) inside a non-conducting solid
sphere with uniformly distributed charge Q.
(3) Find the Electric Field outside an infinitely long rod with uniform charge
density lambda.

Expert Solution

Step 1

Solution:

Gauss law state that the electric flux through any closed surface is equal to $\frac{1}{ε_{0}}$ times the net charge enclosed within the surface.

1) Let us consider the infinitely long slab of thickness 'a' having a surface charge density $σ$ . Let us construct the Gaussian surface in the form of a cylinder across the slab.

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