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Delta to Wye Converter.

Convert three delta-connected resistances to their equivalent wye resistances.

On-device calculationNo signup
01

Set your values

Results update as you type.

Wye A resistance: 5 Ω

Wye A resistance

0.000000Ω
Wye B resistance: 3.333333 Ω

Wye B resistance

0.000000Ω
Wye C resistance: 10 Ω

Wye C resistance

0.000000Ω

Results update automatically as you type.

Use Cases

Simplify circuit analysis

Convert a delta network to a wye (star) network to simplify series-parallel combinations and apply mesh or nodal analysis more easily.

Example: Convert a delta with 10Ω, 20Ω, 30Ω to wye for easier calculation of total resistance.

Three-phase power systems

In three-phase systems, delta-connected loads can be converted to wye for balanced load calculations and power analysis.

Example: Convert delta load resistances to wye to find phase currents in a balanced system.

Frequently Asked Questions

How do I use the Delta to Wye Converter?
Enter the three delta-connected resistances: Delta AB, Delta BC, and Delta CA (in ohms). The calculator will compute the equivalent wye resistances RA, RB, and RC using the standard delta-wye transformation formulas.
What are the formulas for delta to wye conversion?
For delta resistances AB, BC, CA, the wye resistances are: RA = (AB * CA) / (AB + BC + CA), RB = (AB * BC) / (AB + BC + CA), RC = (BC * CA) / (AB + BC + CA).
Can I use this converter for any resistor values?
Yes, as long as the delta resistances are positive values. The converter works for any valid resistor values in ohms, providing the equivalent wye resistances for circuit analysis.

Tips & Common Mistakes

Tips

  • Ensure all delta resistances are in ohms; the calculator will output wye resistances in ohms as well.
  • Double-check your delta values: AB, BC, and CA must correspond to the correct nodes in your circuit.
  • Use the conversion when you need to apply series/parallel simplification; wye networks are often easier to analyze.
  • For balanced delta (all equal), the wye resistances are one-third of the delta value.

Common Mistakes to Avoid

  • Entering resistance values in kilo-ohms or mega-ohms without converting to ohms first.
  • Mixing up the delta branches: ensure AB, BC, and CA are correctly identified from your circuit diagram.
  • Assuming the wye resistances are simply half of the delta values; the correct formula involves the sum of all three delta resistances.

Last updated: August 13, 2026