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RLC Circuit Analysis

RLC Circuit Impedance Calculator

Calculate impedance, phase angle, Q-factor, and resonant frequency for series and parallel RLC circuits with professional accuracy.

Interactive RLC Calculator

Enter your component values to calculate circuit impedance and characteristics

Circuit Diagram

Series RLC Circuit
V ~ ——[R]——[L]——[C]——

Understanding RLC Circuits

RLC circuits combine resistive, inductive, and capacitive elements to create complex impedance characteristics

Series RLC Circuit

Components connected in series

Basic Formula

Z = R + j(ωL - 1/ωC)
Total impedance: |Z| = √(R² + (ωL - 1/ωC)²)
Phase angle: φ = arctan((ωL - 1/ωC)/R)
Resonant frequency: f₀ = 1/(2π√(LC))

Parallel RLC Circuit

Components connected in parallel

Basic Formula

1/Z = 1/R + 1/(jωL) + jωC
Total impedance: |Z| = 1/√((1/R)² + (ωC - 1/ωL)²)
Phase angle: φ = -arctan(R(ωC - 1/ωL))
Resonant frequency: f₀ = 1/(2π√(LC))

Practical Applications

RLC circuits are fundamental building blocks in electronic systems

Filter Design

Design low-pass, high-pass, band-pass, and band-stop filters

• Audio crossover networks
• Power supply filtering
• Signal conditioning

Oscillator Circuits

Create stable oscillations at specific frequencies

• LC tank circuits
• Crystal oscillators
• Voltage-controlled oscillators

Impedance Matching

Match source and load impedances for maximum power transfer

• RF amplifier matching
• Antenna tuning
• Transmission line matching

Design Guidelines

Best practices for designing and implementing RLC circuits

Component Selection

Choose inductors with appropriate Q-factor for your application
Consider capacitor ESR and temperature coefficient
Select resistors with adequate power rating

Layout Considerations

Minimize parasitic inductance and capacitance
Keep component leads short for high-frequency applications
Use proper grounding techniques

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Deep Dive into RLC Circuit Design

Explore more professional resources and design skills

Read Theory ArticlesDesign Practice Guide