📊 RLC Frequency & Bode Plotter

🎯 Getting Started

This tool analyzes RLC circuits in the frequency domain:

• Resonant Frequency (f₀): The frequency at which inductive and capacitive reactances cancel
• Quality Factor (Q): Measure of how selective the circuit is (higher Q = narrower bandwidth)
• Bode Plot: Visual representation of gain (dB) vs. frequency on logarithmic scale
• Bandwidth: Frequency range between -3dB points

🔧 Circuit Types

Series RLC: Components connected in series

• Low impedance at resonance (voltage peak)
• Used for bandpass filters, tuned circuits
• Q = (2πf₀L) / R = 1 / (2πf₀RC)

Parallel RLC: Components connected in parallel

• High impedance at resonance (current peak)
• Used for bandstop filters, tank circuits
• Q = R / (2πf₀L) = 2πf₀RC

📐 Formulas

Resonant Frequency:

f₀ = 1 / (2π√(LC))

Quality Factor (Series):

Q = (1/R) × √(L/C) = (2πf₀L) / R

Quality Factor (Parallel):

Q = R × √(C/L) = R / (2πf₀L)

Bandwidth:

BW = f₀ / Q

💡 Unit Prefixes & Input Examples

Use standard metric prefixes for convenience. As you type, the parsed value appears below each input:

• Resistance: 10k, 1.5kΩ, 100, 10M (lowercase k = kilo, uppercase M = mega)
• Inductance: 1m, 100u, 100µH, 10n (lowercase m = milli, u/µ = micro, n = nano)
• Capacitance: 1u, 100nF, 10p, 100n (n = nano, p = pico, lowercase m = milli)

Supported prefixes: p (pico), n (nano), u/µ (micro), m (milli), k (kilo), M (mega)

⚠️ Case matters: lowercase 'm' = milli (10^-3), uppercase 'M' = mega (10⁶)