Physics II / Maxwell’s Equations and Electromagnetic Waves
Practice question · Multiple choice

Why was Ampere’s law inconsistent before Maxwell added the displacement current?

Hints
  1. Think about a loop round the wire feeding a charging capacitor.
  2. One surface is pierced by the wire; another bulges between the plates and is pierced by nothing.
Show the answer

A. Ampère’s law gave different answers for two surfaces sharing one loop

Why

For a charging capacitor, a flat surface catches the wire’s current while a bulging one catches none, yet both share the same boundary loop. The displacement current supplies the missing contribution, since E\mathbf{E} is changing between the plates.

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