PPolySim OS
For K-12 Students · Load Flow Study

Load Flow Study for a PCB trace

Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a PCB trace live below — adjust the inputs and watch it respond, right in your browser.

Three-Phase PowerLive

Controls

Presets

Three-phase power delivers energy on three conductors carrying sinusoids 120° apart, so total power is constant and motors self-start. Line and phase voltages differ by √3, and real power is P = √3·V_line·I·cosφ. The power factor cosφ measures how much current actually does useful work.

▶ Run in Python

Data Inspector

Phase voltage231 V
Real power P12.5 kW
Apparent S13.9 kVA
Reactive Q6.0 kVAR

Governing equation

Reading this result: Real power P = √3·V_line·I·cosφ = 12.5 kW, trailing the 13.9 kVA apparent power by the angle φ = 26°.

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

2

Shortest Path

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Shortest Path (Dijkstra)Live

Controls

Dijkstra's algorithm finds the shortest path from a source (A, blue) to every other node in a weighted graph, always expanding the closest unvisited node next. The number inside each node is its shortest distance from A; the green edges trace the optimal route to your chosen destination. It powers GPS routing, network protocols, and logistics. Click any node to re-target.

Size a graph for the exportable Python solver below — the diagram stays a fixed six-node example.

Presets

▶ Run in Python

Data Inspector

SourceA
DestinationF
Shortest distance11
Graph size6 nodes
Est. edges9 (60%)

Governing equation

Reading this result: Dijkstra grows a set of finalized nodes, each step expanding the nearest unvisited one and relaxing its outgoing edges. Because all weights are non-negative, the first time a node is finalized its distance is already optimal. This configuration describes 6 nodes and about 9 weighted edges (density 60%).

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

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Frequently asked questions

Is this good for k-12 students?
Yes — this version of "Load Flow Study for a PCB trace" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
Do I need to install anything?
No. It runs in any modern browser, free, with no account required.