What is the Filter + Amplifier Chain multi-solver?

Filter + Amplifier Chain is a guided workflow that chains 4 individual PolySim solvers into one end-to-end analysis, piping each result into the next step.

Yes. Every step runs entirely in your browser using real numerics — no install, no account, no cloud cost. Custom or private solver packs are available as a paid service.

Electronics & Power Pack · Multi-Solver

Filter + Amplifier Chain

Filter, op-amp, Bode. This multi-solver chains 4 solvers into a single guided workflow — run each step in order and carry the result forward.

Workflow steps

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Filter Designer

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Analog Filter DesignerLive

RC & RLC frequency response

Controls

Presets

Resistance R (Ω)

Capacitance C (nF)

Passive filters shape a signal's frequency content with resistors, capacitors, and inductors. An RC low-pass or high-pass has a cutoff at 1/(2πRC) where the response drops 3 dB; an RLC bandpass resonates at 1/(2π√(LC)) with sharpness set by its quality factor Q.

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Data Inspector

Cutoff fc1.6 kHz

Resonance f₀5.0 kHz

Quality factor Q0.32

Governing equation

∣ H (f) ∣ = \frac{1}{1 + ( f /1592 ) ^{2}}

Reading this result: Low-pass: signals below the 1.6 kHz corner pass, above it they roll off at 20 dB/decade, and the response is exactly 3 dB down right at the corner.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Op Amp

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Op-Amp CircuitsLive

ideal amplifier configurations

Controls

Presets

Input R1 (kΩ)

Feedback R2 (kΩ)

Input amplitude (V)

The op-amp is the fundamental building block of analog electronics. With negative feedback, its gain is set entirely by external resistors: an inverting amp gives −R2/R1, a non-inverting amp 1+R2/R1. An integrator uses a feedback capacitor to output the running integral of its input.

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Data Inspector

Configurationinverting

Gain-10.00×

Output-10.00 V

Statuslinear

Governing equation

A = - \frac{R _{2}}{R _{1}} = - \frac{100}{10} = - 10.00 \times

Reading this result: Inverting gain is −R2/R1 = -10.00×: the output is a scaled, flipped copy of the input, set entirely by the resistor ratio.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Bode Plot

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Bode Plot (2nd-Order System)Live

frequency response

Controls

Presets

Natural frequency (Hz)

Damping ratio ζ

A Bode plot shows how a system responds across frequency: gain in decibels on top, phase shift below. This second-order low-pass passes low frequencies and rolls off at −40 dB/decade above its natural frequency. Low damping produces a resonant peak; high damping smooths it away.

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Data Inspector

Natural freq1,000 Hz

Damping ζ0.30

Resonant peak+4.8 dB

Roll-off−40 dB/dec

Governing equation

H (s) = \frac{ω _{n}^{2}}{s ^{2} + 2 ζ ω _{n} s + ω _{n}^{2}} = \frac{6 , 28 3 ^{2}}{s ^{2} + 3770 s + 6 , 28 3 ^{2}}

Reading this result: Low damping ζ=0.30 produces a sharp +4.8 dB resonant peak just below fn — great for selectivity, but it rings in the time domain.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Aliasing

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Sampling & AliasingLive

the Nyquist theorem

Controls

Presets

Signal frequency (Hz)

Sample rate (Hz)

To capture a signal faithfully you must sample above twice its highest frequency — the Nyquist rate. Sample too slowly and a high frequency masquerades as a lower one: aliasing. Push the signal frequency above half the sample rate and watch the reconstructed wave collapse to a false, slower tone.

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Data Inspector

Nyquist frequency10.0 Hz

Statusproperly sampled

Apparent frequency3.0 Hz

Governing equation

f_{app} = f - f_{s} round (\frac{f}{f _{s}}) = 3.0 Hz, f_{N} = \frac{f _{s}}{2} = 10.0 Hz

Reading this result: Sampling at 20 Hz puts the Nyquist limit at 10.0 Hz. The 3 Hz signal sits below that, so it is captured faithfully and reconstructs at its true frequency.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Frequently asked questions

What is the Filter + Amplifier Chain multi-solver?: Filter + Amplifier Chain is a guided workflow that chains 4 individual PolySim solvers into one end-to-end analysis, piping each result into the next step.
Is it free to use?: Yes. Every step runs entirely in your browser using real numerics — no install, no account, no cloud cost. Custom or private solver packs are available as a paid service.