RLC Circuit Analyzer to Calculate Impedance, Res...
Analyze series and parallel RLC circuits. Calculate impedance, resonant frequency, phase angle, and Q-factor for AC circuit design, filter design, and electronics.
What is an RLC Circuit?
An RLC circuit contains a resistor (R), inductor (L), and capacitor (C). It is fundamental to electronics — used in radio tuners, filters, oscillators, and power supplies. The interplay between inductance and capacitance creates resonance, where the circuit responds most strongly to one specific frequency.
🔌 RLC Circuit Analyzer
Use our free calculator for instant, accurate results.
📐 Formula
Z = √[R² + (X_L − X_C)²]
X_L = ωL (inductive reactance), X_C = 1/ωC (capacitive reactance), ω = 2πf. Resonant frequency: f₀ = 1/(2π√LC).
📝 Worked Example
R=100Ω, L=10mH, C=100μF at f=159Hz:
X_L = 2π×159×0.01 = 10 Ω
X_C = 1/(2π×159×0.0001) = 10 Ω
Z = √(100² + 0²) = 100 Ω (resonance — minimum impedance!)
📝 How to Use the Calculator
❓ FAQ
What is Q factor?
Quality factor Q = f₀/Δf = (1/R)√(L/C). Higher Q = sharper resonance = more selective filter.
What is the phase angle in RLC?
φ = arctan((X_L − X_C)/R). Positive = inductive (current lags voltage); negative = capacitive (current leads voltage); 0 = resonance.
Veer Kumavat
Founder & AuthorVeer is a 14-year-old student from Nashik, Maharashtra, who built SciFi Calculators to help students worldwide master STEM subjects. He is passionate about making complex science and math problems accessible through intuitive digital tools.