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Home/Electricity & Magnetism/Nyquist Plot (linear systems)

Nyquist Plot (linear systems)

This interactive simulator explores Nyquist Plot (linear systems) in Electricity & Magnetism. Open-loop L(jω) in the complex plane vs frequency; critical point −1 and distance teaching aid. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.

Who it's for: For learners comfortable with heavier math or second-level detail. Typical context: Electricity & Magnetism.

Key terms

  • nyquist
  • plot
  • linear
  • systems
  • nyquist diagram
  • electricity
  • magnetism

Open-loop L(jω)

1 ms

Readout

Min |L − (−1)|1.000

For unity feedback, encirclements of −1 relate to closed-loop poles (Nyquist criterion). This plot shows L(jω) from ω→0⁺ to ω→∞.

Measured values

Preset1st-order LP

How it works

Polar plot of the open-loop frequency response L(jω). Compare with the Bode diagram of the same transfer function: magnitude and phase become radius and angle here. The critical point −1 marks where unit gain meets −180° phase.

Key equations

LP1: L = 1/(1 + jωτ)

HP1: L = jωτ/(1 + jωτ)

Integrator: L = K/(jω)

2nd LP: L = ωₙ² / ((jω)² + 2ζωₙ(jω) + ωₙ²)