Star (Wye) to Delta Conversion Calculator

In electrical circuit analysis, resistors arranged in a Star (Wye) pattern can be mathematically converted to an equivalent Delta configuration — and vice versa — to simplify complex network calculations. Select your Conversion Type (Star to Delta or Delta to Star), then enter your three resistor values (R1, R2, R3 for Star or Ra, Rb, Rc for Delta) to get the fully equivalent resistor values in the opposite configuration.

Ω

First resistor in star configuration

Ω

Second resistor in star configuration

Ω

Third resistor in star configuration

Ω

First resistor in delta configuration

Ω

Second resistor in delta configuration

Ω

Third resistor in delta configuration

Results

Conversion Result

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R1 Equivalent

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R2 Equivalent

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R3 Equivalent

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Ra Equivalent

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Rb Equivalent

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Rc Equivalent

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Frequently Asked Questions

What is the difference between star (wye) and delta circuit configurations?

Star (wye) configuration has three resistors connected to a common point, forming a Y shape. Delta configuration has three resistors connected in a triangular loop. Both configurations are electrically equivalent when properly converted.

When do I need to convert between star and delta configurations?

Star-delta conversions are essential in three-phase power systems, circuit analysis, and when simplifying complex resistor networks. They help convert complicated circuits into simpler parallel and series combinations.

How do I know which configuration my circuit is in?

In a star (wye) configuration, you'll see three resistors meeting at a central point. In a delta configuration, the resistors form a closed triangle with no common center point.

Are the conversion formulas the same for AC and DC circuits?

Yes, the star-delta conversion formulas work for both AC and DC circuits. The principles apply to any three-terminal network with linear impedances or resistances.

Can I convert any resistor network using star-delta transformation?

Star-delta conversion only works for three-terminal networks. More complex networks may require multiple transformations or other circuit analysis techniques.

What happens if I use very small or very large resistance values?

The calculator handles a wide range of values from 0.001Ω to 1,000,000Ω. However, practical circuits should consider component tolerances and power ratings.

How accurate are the conversion calculations?

The calculator provides results accurate to 4 decimal places, which is sufficient for most engineering applications. The underlying formulas are mathematically exact.