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PSPICE MULTISIM Use the node-voltage method to find the branch currents i1, i2, and iz in the circuit in Fig. P4.23 O 4.23 a) b) Check your solution for i1, i2, and iz by showing that the power dissipated in the circuit equals the power developed. Figure P4.23 1 kN 10 mA 5 kΩ 30 V iz. 3 500 N :4 kN iz 80 V x to nage 115

PSPICE MULTISIM Use the node-voltage method to find the branch currents i1, i2, and iz in the circuit in Fig. P4.23 O 4.23 a) b) Check your solution for i1, i2, and iz by showing that the power dissipated in the circuit equals the power developed. Figure P4.23 1 kN 10 mA 5 kΩ 30 V iz. 3 500 N :4 kN iz 80 V x to nage 115

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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4.23 plz
### Problem 4.23: Circuit Analysis Using Node-Voltage Method #### Objective: a) Use the node-voltage method to find the branch currents \( i_1 \), \( i_2 \), and \( i_3 \) in the circuit shown in Figure P4.23. b) Check your solution for \( i_1 \), \( i_2 \), and \( i_3 \) by demonstrating that the power dissipated in the circuit equals the power developed. #### Circuit Diagram: Figure P4.23 depicts a circuit with the following components: - A 30 V voltage source connected in series with a 5 kΩ resistor, labeled with current \( i_1 \). - A 500 Ω resistor connected in parallel, labeled with current \( i_2 \). - A 1 kΩ resistor in series with a 10 mA current source. - A 4 kΩ resistor in series with an 80 V voltage source, labeled with current \( i_3 \). #### Node Information: The circuit consists of several interconnected nodes with directed currents \( i_1 \), \( i_2 \), and \( i_3 \) indicating their paths through the resistors and voltage/current sources. ### Method: Apply the node-voltage method to solve for the currents \( i_1 \), \( i_2 \), and \( i_3 \) using Kirchhoff's laws and appropriate circuit theorems to ensure the sum of the power dissipated matches the power supplied by the sources. #### Key Points: - Identify nodes and assign voltages. - Write equations based on Kirchhoff’s current law (KCL) for each node. - Solve the equations to find the current values. #### Verification: Calculate and verify that the total power provided by the sources equals the total power dissipated in the resistors, ensuring energy conservation within the circuit. Focus on proper manipulation of the equations derived from circuit analysis to confirm accuracy in results and understanding of electrical principles.
Transcribed Image Text:### Problem 4.23: Circuit Analysis Using Node-Voltage Method #### Objective: a) Use the node-voltage method to find the branch currents \( i_1 \), \( i_2 \), and \( i_3 \) in the circuit shown in Figure P4.23. b) Check your solution for \( i_1 \), \( i_2 \), and \( i_3 \) by demonstrating that the power dissipated in the circuit equals the power developed. #### Circuit Diagram: Figure P4.23 depicts a circuit with the following components: - A 30 V voltage source connected in series with a 5 kΩ resistor, labeled with current \( i_1 \). - A 500 Ω resistor connected in parallel, labeled with current \( i_2 \). - A 1 kΩ resistor in series with a 10 mA current source. - A 4 kΩ resistor in series with an 80 V voltage source, labeled with current \( i_3 \). #### Node Information: The circuit consists of several interconnected nodes with directed currents \( i_1 \), \( i_2 \), and \( i_3 \) indicating their paths through the resistors and voltage/current sources. ### Method: Apply the node-voltage method to solve for the currents \( i_1 \), \( i_2 \), and \( i_3 \) using Kirchhoff's laws and appropriate circuit theorems to ensure the sum of the power dissipated matches the power supplied by the sources. #### Key Points: - Identify nodes and assign voltages. - Write equations based on Kirchhoff’s current law (KCL) for each node. - Solve the equations to find the current values. #### Verification: Calculate and verify that the total power provided by the sources equals the total power dissipated in the resistors, ensuring energy conservation within the circuit. Focus on proper manipulation of the equations derived from circuit analysis to confirm accuracy in results and understanding of electrical principles.
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