Delta to Wye / Wye to Delta Transformation

Question 1

Each resistor in the network is the sum of all possible products of Y resistors taken two at a time, divided by the opposite Y resistor.

Answer 1

Wye to Delta Conversion

Question 2

Each resistor in the Y network is the product of the resistors in the two adjacent branches, divided by the sum of the three resistors.

Answer 2

Delta to Wye Conversion

Question 3

Wye to Delta Conversion

Answer 3

Ra = [ R1(R2) + R2(R3) + R3(R1) ] / R1
Rb = [ R1(R2) + R2(R3) + R3(R1) ] / R2
Rc = [ R1(R2) + R2(R3) + R3(R1) ] / R3

Question 4

Delta to Wye Conversion Formula

Answer 4

R1 = RbRc / Ra + Rb + Rc
R2 = RcRa / Ra + Rb + Rc
R3 = RaRb / Ra + Rb + Rc