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This lecture covers precision tests of Quantum Electrodynamics (QED) at low energy, focusing on the interaction of magnetic moments with electromagnetic fields, radiative corrections, renormalization, and historical measurements of electron and muon magnetic moments. The instructor discusses precession and resonance experiments, the running of the electric charge, and the theoretical and experimental values of the anomalous magnetic moments. The lecture concludes with the current discrepancies between experimental measurements and theoretical predictions, highlighting the ongoing efforts to improve precision in the field.