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Analysis of Lissajous Patterns for the Voltage Amplitude and the Phase Difference in $RLC$ Series Circuits
New Physics: Sae Mulli 2017; 67: 256~261
Published online February 28, 2017;
© 2017 New Physics: Sae Mulli.

Mi-Na YANG, Se-Hun KIM*

Faculty of Science Education and Educational Science Research Institute, Jeju National University, Jeju 63243, Korea
Correspondence to:
Received September 8, 2016; Revised October 12, 2016; Accepted October 18, 2016.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
We measured the input and the output voltage signals and the phase in $RLC$ electrical circuits composed of electrical devices such as resistors, inductors and capacitors. Lissajous patterns were observed by using the XY mode of the oscilloscope system in which the ac voltage signal was input to the channel X and the voltage signal from the $RLC$ electrical elements was connected to the channel Y. The Lissajous figures were found from the linear and the elliptical orbit analyzed by using the magnitude and the phase difference for the voltages from the electric devices. In addition, we observed the linewidth of the spectrum in the frequency domain by using a Fourier transform of the waveform of the time function.
PACS numbers: 97.10.Ld, 97.10.Ld, 07.50.Ek, 02.30.Nw, 85.60.Pg
Keywords: $RLC$ series circuits, AC voltage, Lissajous patterns, Fourier transform, Phase

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