English

Shortcut to stationary regimes: a simple experimental demonstration

Classical Physics 2019-01-21 v1

Abstract

We introduce a reverse engineering approach to drive a RC circuit. This technique is implemented experimentally 1) to reach a stationary regime associated to a sinusoidal driving in very short amount of time, 2) to ensure a fast discharge of the capacitor, and 3) to guarantee a fast change of stationary regime associated to different driving frequencies. This work can be used as a simple experimental project dedicated to the computer control of a voltage source. Besides the specific example addressed here, the proposed method provides an original use of simple linear differential equation to control the dynamical quantities of a physical system, and has therefore a certain pedagogical value.

Keywords

Cite

@article{arxiv.1808.01321,
  title  = {Shortcut to stationary regimes: a simple experimental demonstration},
  author = {S. Faure and S. Ciliberto and E. Trizac and D. Guéry-Odelin},
  journal= {arXiv preprint arXiv:1808.01321},
  year   = {2019}
}