Circuits and Passives
Model class: Exact resistive relationship
Star-delta conversion
Convert an ideal three-resistor delta network to its equivalent star-arm resistances.
Interactive engine
Start with the stated conditions.
Values stay in this browser. Choose a representative scenario, then calculate deliberately.
Example ready
Calculate to inspect the result.
The result will identify the direct answer, assumptions, and any warning that changes the next decision.
How much does each input matter?
Each row holds every other input fixed at its current value and moves one input by ±10%, using the same model as the main result. It identifies which input is the binding lever, not a full tolerance stack.
Assumptions to check
- The entered star-delta-conversion values represent the stated operating condition.
- This exact resistive relationship is evaluated in the declared lumped or first-pass model.
- A star-delta-conversion calculation is not a component qualification or safety approval.
What this star-delta-conversion calculation establishes
Convert an ideal three-resistor delta network to its equivalent star-arm resistances. The useful result is the stated electrical quantity and the decision it supports, not an unstated claim about a finished product. This engine keeps the governing relationship visible so an input, unit, condition, or model boundary can be reviewed before a value becomes a component or layout choice.
Each star arm equals the product of the two adjacent delta arms divided by the sum of all three delta arms. Treat the number as a first-pass result for the declared operating point. When a source, load, temperature, frequency, waveform, component tolerance, or measurement condition changes, repeat the calculation at the relevant corner rather than assuming the nominal answer persists.
Worked decision context
A delta with three 300 Ω arms converts to a star with three 100 Ω arms and round-trips to 300 Ω. That example verifies the equation and illustrates the scale of the result, but it does not select a part by itself. Compare the result with available values, ratings, tolerance bands, and the receiving circuit or physical environment before implementation.
Use the primary output to identify the binding constraint. If it leaves little margin, document which input dominates and use selected-part data, a higher-fidelity model, simulation, or measurement. This is especially important when a small numerical difference changes a thermal, timing, noise, or reliability decision.
Limits and validation handoff
It assumes an ideal labeled three-terminal resistor network and does not model loading, temperature, or non-resistive branches. The calculation does not silently include omitted parasitics, installation conditions, manufacturing variation, or product policy. Those conditions can be decisive even when the arithmetic is exact for the selected model.
Record inputs, units, model assumptions, and the intended decision with the result. Verify the leading risk against the selected component data sheet and a representative measurement when the circuit has consequential energy, high voltage, safety, compliance, or reliability requirements.
Common mistakes
- Treating the star-delta-conversion result as a guaranteed operating limit rather than a first-pass exact resistive relationship estimate.
- Mixing a data-sheet value measured under one condition with this star-delta-conversion calculation performed at another.
- Selecting a component before checking the boundary this calculation names: it assumes an ideal labeled three-terminal resistor network and does not model loading, temperature, or non-resistive branches.
Model limit and handoff
Keep the entered star-delta-conversion conditions with the calculation, then validate the binding limit using the selected component, physical implementation, and representative operating corner.
FAQs
Is this star-delta-conversion result sufficient to approve a design?
No. It applies exact resistive relationship reasoning to the entered star-delta-conversion values and names the checks that still need selected-part data, a higher-fidelity model, or measurement. It assumes an ideal labeled three-terminal resistor network and does not model loading, temperature, or non-resistive branches.
What does this star-delta-conversion calculator assume that could make the result wrong?
Each star arm equals the product of the two adjacent delta arms divided by the sum of all three delta arms. If the entered values do not match the real operating condition, the result no longer describes the actual circuit.
Where should this star-delta-conversion result go next?
Compare this star-delta-conversion result with Choosing the right circuit model, then use the stated next decision below the calculator to move from this first-pass number toward an implementation.