Gauss's law & spherical symmetry University Physics II · Gauss's law
Gauss Gate
Tune a charged insulating sphere and move its probe through an electric-field gate.
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Challenge 1 of 3
Charge the interior gate
A field probe sits halfway from the centre to the surface of a uniformly charged insulating sphere.
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Set the total charge so the outward field is 12–13 N/C.
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Apply Gauss's law to a uniformly charged solid sphere, distinguishing enclosed charge inside from the inverse-square field outside.
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The physics behind the game
Apply Gauss's law to a uniformly charged solid sphere, distinguishing enclosed charge inside from the inverse-square field outside.
E(r ≤ R) = kQr/R³; E(r ≥ R) = kQ/r²; E(0) = 0
Model assumptions. Charge is spread uniformly through a nonconducting solid sphere in vacuum. The field is radial and positive outward for positive Q. This is not a conducting sphere: an insulator can have a nonzero field inside. Charge is in nC and lengths in m.