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# Parallel resonance analyzed with Ti-84 Plus (CE)

## Explanation of the parallel resonance program for the Ti84

Parallel resonance circuits are used in notch filters, radio receivers, transmitters, power factor correctors.

The program plots all currents and voltages, making it useful topic for electrical engineers.

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

More basic information about parallel RLC circuits is available on:

On this page a circuit with Rs=50 Ohm, L1=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 with the program that the resonance frequency shifts to 7974 Hz for RL=100 Ω instead of 0.5 Ω.

### The Electric circuit of Parallel resonance

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.