Delta to Wye Conversion Calculator

Your details

Choose which network configuration you are starting from. Delta is three resistors arranged in a triangle; Wye (also called Star) is three resistors meeting at a central node.
All three input values are interpreted in the selected unit. The outputs are shown in the same unit.
Resistance of the delta branch connecting node 1 to node 2.
Omega
Resistance of the delta branch connecting node 2 to node 3.
Omega
Resistance of the delta branch connecting node 1 to node 3.
Omega
R1 (wye, node 1 to center)
7.5

Equivalent wye resistance at node 1

R2 (wye, node 2 to center)5
R3 (wye, node 3 to center)3
Sum of input resistances50
R1 (wye)7.5
R2 (wye)5
R3 (wye)3
Ra (delta)-
Rb (delta)-
Rc (delta)-

Delta-to-Wye: R1 = 7.5000 Ohm, R2 = 5.0000 Ohm, R3 = 3.0000 Ohm

  • The three wye resistors (7.500, 5.000, 3.000 Ohm) are always smaller than the original delta resistors.
  • The shared denominator is Ra + Rb + Rc = 50.0000 Ohm. All three wye values are derived from this sum.
  • Both networks are electrically equivalent when viewed from any two of the three external nodes.

Next stepTo verify: compute the resistance between any two nodes in both networks. For example, between nodes 1 and 2, the delta gives Ra in parallel with (Rb + Rc), and the wye gives R1 + R2. These should be equal.

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