Nonlinear Damping of the LC Circuit using Anti-parallel Diodes

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
Edward Hellen (Creator)
The University of North Carolina at Greensboro (UNCG )
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Abstract: 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.

Additional Information

Publication > physics > arXiv:physics/0606261
Language: English
Date: 2007
Nonlinear oscillator, LC circuit, Nonlinear damping, Diode

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