Physics II / Electrostatics in Vacuum
Practice question · Multiple choice

A Gaussian surface is drawn around an electric dipole. Why is the total flux through it zero even though the field on it is not?

Hints
  1. Flux counts only the NET enclosed charge.
  2. A dipole is two equal and opposite charges, so the net enclosed charge is zero, but each charge still produces a field.
Show the answer

A. Zero flux, but a substantial field everywhere on the surface

Why

The dipole encloses +q+q and q-q, so Qenc=0Q_{enc} = 0 and the total flux vanishes. The field certainly does not: inward flux on one side exactly cancels outward flux on the other. Zero total flux never implies zero field.

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