[ R_CA = R_C + R_A + \fracR_C R_AR_B ]

In a balanced network, no need for complex arithmetic. Problem 2: Star to Delta Conversion (Unbalanced) Question: A star network has R_A = 10Ω, R_B = 20Ω, R_C = 30Ω. Find the equivalent delta resistors between A & B.

Since it is balanced (all delta resistors equal), the star resistors are equal. [ R_star = \fracR_delta3 = \frac93 = 3\Omega ] Each star resistor = 3Ω.

[ R_AB = R_A + R_B + \fracR_A R_BR_C ]