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Back to the Bridge. Which resistors are in series? Which resistors are in parallel?. Delta ( Δ ) Connection. Resistors R 1 , R 2 , and R m (or R 3 , R m , and R x ) are in a Delta ( Δ ), or pi ( π ) connection. Wye (Y) Connection.

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back to the bridge
Back to the Bridge
  • Which resistors are in series?
  • Which resistors are in parallel?

ECE 201 Circuit Theory I

delta connection
Delta (Δ) Connection
  • Resistors R1, R2, and Rm (or R3, Rm, and Rx) are in a Delta (Δ), or pi (π) connection.

ECE 201 Circuit Theory I

wye y connection
Wye (Y) Connection
  • Resistors R1, Rm, and R3 (or R2, Rm, and Rx) are in a wye (Y), or tee (T) connection.

ECE 201 Circuit Theory I

y conversion
Δ – Y Conversion

ECE 201 Circuit Theory I

y conversion continued
Δ – Y Conversion (continued)
  • The resistance between the terminal pairs must be the same for both circuits

ECE 201 Circuit Theory I

y conversion continued1
Δ – Y Conversion (continued)
  • After some algebraic manipulation

ECE 201 Circuit Theory I

y conversion1
Y – Δ Conversion

ECE 201 Circuit Theory I

y conversion continued2
Y – Δ Conversion (continued)
  • The resistance between the terminal pairs must be the same for both circuits

ECE 201 Circuit Theory I

y conversion continued3
Y – Δ Conversion (continued)
  • After some algebraic manipulation

ECE 201 Circuit Theory I