Series RLC
Z = √(R² + (X_L − X_C)²)
Parallel RLC
Z = 1/√((1/R)² + (1/X_L − 1/X_C)²)
Resonance Frequency
f₀ = 1/(2π√(LC))
X_L > X_C: Circuit is inductive, current lags voltage
X_C > X_L: Circuit is capacitive, current leads voltage
X_L = X_C: At resonance, purely resistive behavior
An RLC circuit is an electrical circuit consisting of a resistor (R), inductor (L), and capacitor (C) connected in series or parallel. These circuits are fundamental in electronics and are used in filters, oscillators, tuning circuits, and many signal processing applications. The behavior of an RLC circuit depends heavily on the frequency of the applied AC voltage.
At the resonance frequency, the inductive reactance equals the capacitive reactance, causing the impedance to reach its minimum value in series circuits (equal to R) or maximum in parallel circuits. This property makes RLC circuits ideal for frequency selection and tuning applications.
RLC circuit calculations are estimates based on ideal AC circuit conditions. Actual behavior may vary due to parasitic elements, component tolerance, temperature effects, or non-ideal behavior. Always consult datasheets and consider real-world factors when designing circuits. For critical applications, verify results with proper instrumentation or consult an electrical engineer.