Nonlinear Damping of the LC Circuit using Anti-parallel Diodes

Details Nonlinear Damping of the LC Circuit using Anti-parallel Diodes Nonlinear Damping of the LC Circuit using Anti-parallel Diodes

2006-06-30

arxiv.org/abs/physics/0606261v1

Am. J. Phys. 75, 326-330 (2007)

Physics

Physics Education

22 pages, submitted to American Journal of Physics

Scientific paper

10.1119/1.2710481

We investigate a simple variation of the series RLC circuit in which anti-parallel diodes replace the resistor. This results in a damped harmonic oscillator with a nonlinear damping term that is maximal at zero current and decreases with an inverse current relation for currents far from zero. A set of nonlinear differential equations for the oscillator circuit is derived and integrated numerically for comparison with circuit measurements. The agreement is very good for both the transient and steady-state responses. Unlike the standard RLC circuit, the behavior of this circuit is amplitude dependent. In particular for the transient response the oscillator makes a transition from under-damped to over-damped behavior, and for the driven oscillator the resonance response becomes sharper and stronger as drive source amplitude increases. The equipment is inexpensive and common to upper level physics labs.

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