Gauss's Law/Examples/Spherically Symmetric Body

Examples of Use of Gauss's Law

Let $B$ be a spherical conducting body in space.

Let $B$ have an electric charge on it.

Then the electric field generated by $B$ is the same as an electric field generated by a point charge with the same charge as the total charge as $B$, placed at the center of $B$.

Proof

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Sources

• 1990: I.S. Grant and W.R. Phillips: Electromagnetism (2nd ed.) ... (previous) ... (next): Chapter $1$: Force and energy in electrostatics: $1.4$ Gauss's Law