Electronics Handbook/Circuits/Y Delta Conversion

Configuration

 * [[Image:Delta-Star Transformation.svg|400px]]

Δ to Y Conversion

 * $$R_a = \frac{R_\mathrm{ac}R_\mathrm{ab}}{R_\mathrm{ac} + R_\mathrm{ab} + R_\mathrm{bc}} $$


 * $$R_b = \frac{R_\mathrm{ab}R_\mathrm{bc}}{R_\mathrm{ac} + R_\mathrm{ab} + R_\mathrm{bc}} $$


 * $$R_c = \frac{R_\mathrm{bc}R_\mathrm{ac}}{R_\mathrm{ac} + R_\mathrm{ab} + R_\mathrm{bc}} $$

Y to Δ Conversion

 * $$R_\mathrm{ac} = \frac{R_aR_b + R_bR_c + R_cR_a}{R_b}$$


 * $$R_\mathrm{ab} = \frac{R_aR_b + R_bR_c + R_cR_a}{R_c}$$


 * $$R_\mathrm{bc} = \frac{R_aR_b + R_bR_c + R_cR_a}{R_a}$$