ECE 201 Circuit Theory I1 Back to the Bridge Which resistors are in series? Which resistors are in parallel?

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Presentation transcript:

ECE 201 Circuit Theory I1 Back to the Bridge Which resistors are in series? Which resistors are in parallel?

ECE 201 Circuit Theory I2 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.

ECE 201 Circuit Theory I3 Wye (Y) Connection Resistors R 1, R m, and R 3 (or R 2, R m, and R x ) are in a wye (Y), or tee (T) connection.

ECE 201 Circuit Theory I4 Δ – Y Conversion

ECE 201 Circuit Theory I5 Δ – Y Conversion (continued) The resistance between the terminal pairs must be the same for both circuits

ECE 201 Circuit Theory I6 Δ – Y Conversion (continued) After some algebraic manipulation

ECE 201 Circuit Theory I7 Y – Δ Conversion

ECE 201 Circuit Theory I8 Y – Δ Conversion (continued) The resistance between the terminal pairs must be the same for both circuits

ECE 201 Circuit Theory I9 Y – Δ Conversion (continued) After some algebraic manipulation