Delta-Wye Conversions

Delta-Wye ConversionsWhat if resistors are neither in series nor in parallel?

Delta-WyeMany circuits can be simplified using three-terminal equivalent networks. These are of the type (Y) wye or tee (T) and the delta () or pi () networks.Y - Tee

Delta - Pi

Delta to Wye Conversion 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.

5Wye to Delta ConversionsEach resistor in the network is the sum of all possible products of Y resistors taken two at a time, divided by the opposite resistor.

Delta-Wye Chart

Balanced NetworksY and networks are said to be balanced when and whenUnder these conditions, conversion formulas become

Transform the delta network to its equivalent wye network.Examples

ExamplesFirst, transform your network into its opposite network.Second, calculate the new values for your network.Third, erase the old network.

Examples

Examples

Examples