How to Calculate L, C, and R Values for Resonance Circuit at 100 Hz Frequency?

The discussion focuses on calculating inductance (L), capacitance (C), and resistance (R) values for achieving resonance in a mixed LC circuit at 100 Hz. The fundamental resonance formula ω₀ = 1/√(LC) and ω₀ = 2πf₀ is used to determine component values. For a chosen inductor value (e.g., L = 10 mH), the corresponding capacitor value is calculated (e.g., C ≈ 253 µF) to achieve resonance at 100 Hz. Resistance is noted to have minimal effect on resonance frequency but influences the quality factor (Q). The Q-factor formulas differ for series and parallel configurations: Q = (ω₀L)/R for series and Q = R√(C/L) for parallel circuits. The discussion also addresses the possibility of multiple resonance frequencies in one circuit, suggesting such behavior resembles band-stop or band-reject filters formed by combining LC sections. Simulation using OrCAD PSpice confirms the theoretical calculations. The use of practical tools like the Electrodroid app for reactance calculations is recommended for real-world component selection.
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