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Determine the magnitude e(r) by applying Gauss's law. Express e(r) in terms of some or all of the variables/constants q, r, and ϵ0.

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Final answer:

To determine the magnitude of the electric field using Gauss's law in a spherical charge distribution, we can express it as 4πr²E = 9qenc/ε₀.

Step-by-step explanation:

Gauss's law is a useful tool for determining the electric field in certain charge distributions. To find the magnitude of the electric field E(r), we can apply Gauss's law and express it in terms of variables/constants q, r, and ε₀. The relation for Gauss's law in spherical symmetry is 4πr²E = 9qenc/ε₀.

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