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Parallel resonance analyzed with Ti-84 Plus (CE)

Explanation of the parallel resonance program for the Ti84

parallel resonance  circuit

Parallel resonance circuits are used in notch filters, radio receivers, transmitters, power factor correctors, making them a useful topic for electrical engineers.

The program plots all currents and voltages.

Phase and amplitude resonance can be calculated and as all functions are saved in the Y-editor, more post-processing is possible.

In this case a circuit with Rs=50 Ohm, Ls=3.8mH, RL= 0.5 Ω and C=0.1uF is analyzed. Total current and phase as function of frequency are shown. As you see, the frequency at minimum current= 8164.47 Hz which is equal to the analytically calculated frequency =1/(2π√LC) since the resistance of the coil is very small.

Find out for yourself that the resonance frequency shifts to 7974 Hz for RL=100 Ω instead of 0.5 Ω.

The Electric circuit of Parallel resonance 

Input for the parallel resonance analysis program
All output parameters can be plotted
Total current, Capacitor current and Inductance current can be shown with its calculated minima

Plots as function of frequency (Hz) are shown. On the left, the source current. The LC circuit behaves like a notch filter and blocks frequencies in the area of 8164 Hz. On the right, three currents are plotted. Blue= the total current, Green= the capacitor current, Red= the coil current.

Download the program

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