We study the low-frequency admittance of a quantum Hall bar of a size much larger than the electronic coherence length. We find that this macroscopic conductor behaves as an ideal quantum conductor with vanishing longitudinal resistance and purely inductive behavior up to $f\lesssim 1\mathrm{M}\mathrm{Hz}$. Using several measurement configurations, we study the dependence of this inductance on the length of the edge channel and on the integer quantum Hall filling factor. The experimental data are well described by a scattering model for edge magnetoplasmons taking into account the effective long range Coulomb interactions within the sample. We find that the inductance's dependence on the filling factor arises predominantly from the effective quantum inertia of charge carriers induced by Coulomb interactions.

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• Impedance
• Integer quantum Hall effect
• Metrology
• Plasmons
• Quantum transport