Control & ModelingDiscipline: Circuit Analysis & Synthesis (EEE2001)
Second-Order RLC Transient & s-Domain Pole Simulator
Interactive transient response and complex s-plane pole trajectory analyzer computing attenuation factor (α), undamped resonant frequency (ω₀), damping ratio (ζ), and capacitor step response across underdamped, critical, and overdamped regimes.
Instrument State:Live Analytical DSP Engine
EEE2001 · Circuit Analysis & Synthesis
Second-Order Transient & Laplace s-Domain Simulator
Analyze RLC natural response, damping factor ζ, complex pole trajectories, and step voltage capacitor charging.
Critically Damped (ζ = 1.00)
Presets:
Series RLC Component Parameters
Series Resistance (R)200 Ω
10 Ω (High ringing)R_crit = 200 Ω1000 Ω (Heavy overdamped)
Series Inductance (L)10 mH
Capacitance (C)1.0 μF
Input Step Voltage (Vs)10 V
Characteristic Equation Roots:
s² + (R/L)s + (1/LC) = 0
• α (Decay): 10000 Np/s
• ω₀ (Natural): 10.0 krad/s
• Damping ζ: 1.000
• Overshoot: 0%
T_settle ≈ 0.40 ms
Capacitor Voltage Step Response v_c(t):Steady State = 10 V
Natural Freq (ω₀)
1592 Hz
Damped Freq (ω_d)
Non-oscillatory
Peak Voltage (v_max)
10.00 V
Technical Instrument Specifications
Characteristic Eqs² + 2αs + ω₀² = 0 where α = R/(2L)
Natural Frequencyω₀ = 1 / √(LC)
Damping RegimesUnderdamped (ζ < 1), Critical (ζ = 1), Overdamped (ζ > 1)
Critical ResistanceR_crit = 2√(L/C)
More Control & Modeling Simulators
Explore AllNeural Network Topology Visualizer
Interactive multi-layer perceptron showing forward propagation weights, ReLU activation nodes, and backprop gradient descent.
Open instrument
PID Closed-Loop Controller Simulator
Proportional-Integral-Derivative feedback loop tuning workbench with step response tracking, overshoot, and steady-state error.
Open instrument
API & DSP Latency Benchmark Simulator
Real-time benchmark comparing HTTP/2 vs HTTP/3 QUIC connection establishment, payload serialization, and edge TTFB latency.
Open instrument