Application: Charged Sphere

Section 23.6 Application: Charged Sphere

Find a flat, rectangular object such as a piece of paper or a small whiteboard. Use a pen or marker to indicate the area vector for your object. How many area vectors do you need?
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Find an object with multiple flat sides that are not parallel (if you have a sheet of paper, you can fold it into something like a triangular prism). Again, use a pen or marker to indicate the area vector for your object. How many area vectors do you need?
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Find an object with at least one curved side (if you have a sheet of paper, you can curl it into a cylinder). Again, use a pen or marker to indicate the area vector for your object. How many area vectors do you need?
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You want to determine the electric field everywhere in space due to a uniformly charged sphere with charge density \(\rho\) and radius \(R\text{.}\)

Use Gauss’s Law to determine the electric field when \(r \gt R\text{.}\)

Use Gauss’s Law to determine the electric field when \(r \lt R\text{.}\)