Delta to wye calculator

Convert a three-resistor delta network to its equivalent wye and compare terminal resistances.

Schematic

Loading CircuitSim schematic…

Try in CircuitSim opens the delta input.

Results

Wye arm A150 Ω

Wye arm B	100 Ω
Wye arm C	300 Ω

Advanced results

Resistance A–B	250 Ω
Resistance B–C	400 Ω
Resistance A–C	450 Ω
A–B test current at 1 V	4 mA

How delta to wye works

Replace the closed delta network with three arms meeting at a star point. Each wye arm equals the product of the two delta resistors touching that terminal, divided by the sum of all three delta resistances. All three terminal-pair resistances are preserved with the unused terminal open.

R_A=\frac{R_1R_3}{R_1+R_2+R_3}

Ideal resistors. R1 connects A–B, R2 connects B–C, and R3 connects A–C. A fixed 1 V source tests A–B in the original delta circuit. Try in CircuitSim opens that editable delta circuit.

Change the form inputs or click a component value on the schematic. Choose Try in CircuitSim to simulate the configured circuit.

Do the math

Selected input values
R1	300 Ω
R2	600 Ω
R3	900 Ω

Wye arm A: $R_A=\frac{R_1R_3}{R_1+R_2+R_3}$
$\frac{300\,\mathrm{\Omega}\times 900\,\mathrm{\Omega}}{1.8\,\mathrm{k\Omega}}$
≈ 150 Ω
Wye arm B: $R_B=\frac{R_1R_2}{R_1+R_2+R_3}$
$\frac{300\,\mathrm{\Omega}\times 600\,\mathrm{\Omega}}{1.8\,\mathrm{k\Omega}}$
≈ 100 Ω
Wye arm C: $R_C=\frac{R_2R_3}{R_1+R_2+R_3}$
$\frac{600\,\mathrm{\Omega}\times 900\,\mathrm{\Omega}}{1.8\,\mathrm{k\Omega}}$
≈ 300 Ω

Delta to wye calculator

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Schematic

Results

How delta to wye works

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