Star-Delta Numericals for Practice PDF

# STAR - DELTA Using Y-∆ transformation solve for the following. ## 1. A circuit diagram of a resistor network is displayed. * The circuit consists of four resistors. * The resistors are connected in a delta configuration. * Resistor 1 has a value of 4Ω. * Resistor 2 has a value of 34Ω. * Resist...

# STAR - DELTA Using Y-∆ transformation solve for the following. ## 1. A circuit diagram of a resistor network is displayed. * The circuit consists of four resistors. * The resistors are connected in a delta configuration. * Resistor 1 has a value of 4Ω. * Resistor 2 has a value of 34Ω. * Resistor 3 has a value of 30Ω. * Resistor 4 has a value of 17Ω. * The circuit is connected to a voltage source at point A. * The circuit is connected to a ground at point B. * The circuit also includes a resistor with a value of 12Ω connected between point A and a point between resistor 1 and 2. * The circuit also includes a resistor with a value of 30Ω connected between point B and a point between resistor 2 and 3. * The circuit also includes a resistor with a value of 13Ω connected between point B and a point between resistor 3 and 1. **Find RAB.** **Ans: RAB = 24.83Ω** ## 2. A circuit diagram of a resistor network is displayed. * The circuit consists of six resistors. * The resistors are connected in a delta configuration. * Resistor 1 has a value of 5Ω. * Resistor 2 has a value of 4Ω. * Resistor 3 has a value of 4Ω. * Resistor 4 has a value of 6Ω. * Resistor 5 has a value of 4Ω. * Resistor 6 has a value of 4Ω. * The circuit is connected to a voltage source at point A. * The circuit is connected to a ground at point B. * The circuit also includes a resistor with a value of 4Ω connected between point A and a point between resistor 1 and 2. * The circuit also includes a resistor with a value of 6Ω connected between point B and a point between resistor 2 and 3. * The circuit also includes a resistor with a value of 4Ω connected between point B and a point between resistor 3 and 1. **Find RAB** **RAB = 2.214Ω** ## 3. A circuit diagram of a resistor network is displayed. * The circuit consists of seven resistors. * The resistors are connected in a delta configuration. * Resistor 1 has a value of 5Ω. * Resistor 2 has a value of 4Ω. * Resistor 3 has a value of 6Ω. * Resistor 4 has a value of 3Ω. * Resistor 5 has a value of 10Ω. * Resistor 6 has a value of 6Ω. * Resistor 7 has a value of 12Ω. * The circuit is connected to a voltage source at point A. * The circuit is connected to a ground at point B. * The circuit also includes a resistor with a value of 9Ω connected between point A and a point between resistor 1 and 2. * The circuit also includes a resistor with a value of 20Ω connected between point B and a point between resistor 2 and 3. * The circuit also includes a resistor with a value of 7Ω connected between point B and a point between resistor 3 and 1. **Find RAB.** **Ans: RAB = 3.569Ω** ## 4. A circuit diagram of a resistor network is displayed. * The circuit consists of six resistors. * The resistors are connected in a delta configuration. * Each resistor has a value of 10Ω. * The circuit is connected to a voltage source at point A. * The circuit is connected to a ground at point B. **Find RAB.** **RAB = 11.10Ω**