Question

A uniformly charged non-conducting sphere of radius 12 cm is centered at x=0. The sphere is...

A uniformly charged non-conducting sphere of radius 12 cm is
centered at x=0. The sphere is uniformly charged with a charge density of ρ=+15
μC/m3.

Find the work done by an external force when a point charge of +20 nC
that is brought from infinity on the x-axis at a distance of 1 cm outside the
surface of the sphere.

Given the point charge held at its final position, what is the net electric field
at x=5 cm on the x-axis?

What if the sphere is a conductor? And lets say has the same charge, what would a and b now be?

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