🔵 Gauss's Law — sweep the Gaussian surface through a charged sphere

Only the charge INSIDE the surface counts. Watch the plotted curve trace itself as you sweep r: linear inside a solid sphere, inverse-square outside, and flat zero in a shell.

Walkthrough 1 / 5

Step 1 — a charged sphere. Decide first: is the charge spread through it, or only on its skin?

Gaussian radius r 6.0

Sphere radius R 6.0

Total charge Q 5.0 µC

Distribution solid

r = 6.0 · q_enc = 5.00 µC
E = 1.2×10⁵ N/C · at the surface

solid: E ∝ r inside, 1/r² outside
shell: E = 0 inside — exactly, not approximately

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