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Referring to Figure 9.3, if the generator phase voltage is 400 volts and the load is balanced with each leg at 10 Ω, determine the line voltage, line current, generator phase current, load current and the voltage across each load leg.

Referring to Figure 9.3, if the generator phase voltage is 400 volts and the load is balanced with each leg at 10 Ω, determine the line voltage, line current, generator phase current, load current and the voltage across each load leg.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Referring to Figure 9.3, if the generator phase voltage is 400 volts and the load is balanced with each leg
at 10 Ω, determine the line voltage, line current, generator phase current, load current and the voltage
across each load leg.

**Title: Electrical Circuit Analysis** **Figure 9.3 Description** Diagram Components: - Three-phase generators labeled E1, E2, and E3. - Resistors labeled R1, R2, and R3. - Connection points labeled a, b, c, x, y, and z. The diagram depicts a three-phase generator system with a balanced load. Each phase of the generator (E1, E2, E3) is connected to corresponding resistors (R1, R2, R3) forming a star (wye) configuration. **Problem Statement and Calculation Context** **Problem 6:** - **Given Data:** - Generator phase voltage = 400 volts - Load impedance (each leg) = 10 Ω **Tasks:** 1. Determine the line voltage. 2. Calculate the line current. 3. Determine the generator phase current. 4. Compute the load current. 5. Find the voltage across each load leg. **Procedure:** 1. **Line Voltage (V_L):** - For a star (wye) connection, the relationship between line voltage (V_L) and phase voltage (V_Ph) is given by: \[ V_L = V_{Ph} \times \sqrt{3} \] Here, \( V_{Ph} = 400 \text{ volts} \). 2. **Line Current (I_L):** - Line current in a balanced system is the same as the phase current, i.e., \[ I_L = I_{Ph} \] 3. **Phase Current (I_Ph):** - Using Ohm’s law for the resistor and phase voltage: \[ I_{Ph} = \frac{V_{Ph}}{Z_{Ph}} \] Here, \( Z_{Ph} = 10 Ω \). 4. **Load Current:** - The load current is the same as the phase current in the wye configuration. 5. **Voltage across each load leg (R1, R2, and R3):** - In a balanced three-phase system, the voltage across each resistor is equal to the phase voltage: \[ V_{R} = V_{Ph} \] **Conclusion:** By calculating the above parameters, the performance and characteristics of the given balanced three-phase system can be better understood.
Transcribed Image Text:**Title: Electrical Circuit Analysis** **Figure 9.3 Description** Diagram Components: - Three-phase generators labeled E1, E2, and E3. - Resistors labeled R1, R2, and R3. - Connection points labeled a, b, c, x, y, and z. The diagram depicts a three-phase generator system with a balanced load. Each phase of the generator (E1, E2, E3) is connected to corresponding resistors (R1, R2, R3) forming a star (wye) configuration. **Problem Statement and Calculation Context** **Problem 6:** - **Given Data:** - Generator phase voltage = 400 volts - Load impedance (each leg) = 10 Ω **Tasks:** 1. Determine the line voltage. 2. Calculate the line current. 3. Determine the generator phase current. 4. Compute the load current. 5. Find the voltage across each load leg. **Procedure:** 1. **Line Voltage (V_L):** - For a star (wye) connection, the relationship between line voltage (V_L) and phase voltage (V_Ph) is given by: \[ V_L = V_{Ph} \times \sqrt{3} \] Here, \( V_{Ph} = 400 \text{ volts} \). 2. **Line Current (I_L):** - Line current in a balanced system is the same as the phase current, i.e., \[ I_L = I_{Ph} \] 3. **Phase Current (I_Ph):** - Using Ohm’s law for the resistor and phase voltage: \[ I_{Ph} = \frac{V_{Ph}}{Z_{Ph}} \] Here, \( Z_{Ph} = 10 Ω \). 4. **Load Current:** - The load current is the same as the phase current in the wye configuration. 5. **Voltage across each load leg (R1, R2, and R3):** - In a balanced three-phase system, the voltage across each resistor is equal to the phase voltage: \[ V_{R} = V_{Ph} \] **Conclusion:** By calculating the above parameters, the performance and characteristics of the given balanced three-phase system can be better understood.
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