Driven damped harmonic oscillator revisited: energy resonance
Abstract
Abstract We derive the exact expression for the resonant frequency of the time-averaged steady-state energy and show that this frequency is excellently approximated by the arithmetic mean of the amplitude and velocity resonant frequencies. In addition, we argue that the frequency of the amplitude resonance can be regarded as the energy resonance frequency, since it provides the maximal peak values of instantaneous energy. We demonstrate our findings experimentally using a simple setup that can be used as a tool in university teaching.
Fields of Study & Subjects
Experimental and Theoretical Physics Studies
Quantum and Classical Electrodynamics
Science Education and Pedagogy
Publication details
- Journal / source
- European Journal of Physics
- Publisher
- IOP Publishing
- Volume
- 47
- Issue
- 1
- Pages
- 015015–015015
- Publication date
- 7 January 2026