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The voltages va, vb, and vc in below Figure  are the node voltages corresponding to nodes a, b, and c. The values of these voltages are: va = 8.667 V, vb = 2 V, and vc = 10 V The value of gain, A of the dependent source is

The voltages va, vb, and vc in below Figure  are the node voltages corresponding to nodes a, b, and c. The values of these voltages are: va = 8.667 V, vb = 2 V, and vc = 10 V The value of gain, A of the dependent source is

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
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The voltages va, vb, and vc in below Figure  are the node voltages corresponding to nodes a, b, and c. The values of these voltages are:

va = 8.667 V, vb = 2 V, and vc = 10 V

The value of gain, A of the dependent source is 

This is a circuit diagram showing a network of resistors, a current source, and a dependent voltage source. Here's a detailed breakdown of the components and their arrangement: 1. **Nodes:** - The circuit has three main nodes labeled a, b, and c. - Node a is located between a 1Ω resistor and a 3 A current source. - Node b is between two 2Ω resistors and has a common terminal with the current source. 2. **Resistors:** - There are three resistors in the circuit: - A 1Ω resistor is connected between node a and node c. - Two 2Ω resistors are present: - One is in series with the 1Ω resistor, also connecting to node c. - Another 2Ω resistor connects between node a and a ground point. 3. **Independent Current Source:** - A 3 A current source is directed into node b, denoted by an arrow indicating the direction of current flow from a to b. 4. **Dependent Voltage Source:** - The dependent voltage source is on the right side of the circuit, labeled \( v_c \), with a value of \( Ai_1 \). - The dependent source is controlled by the current \( i_1 \) through the 1Ω and the top 2Ω resistor. 5. **Currents and Voltages:** - Current \( i_1 \) flows through the left branch of the circuit containing the 1Ω resistor. - Current \( i_2 \) flows through the right side of the circuit containing the dependent source. - The voltage across the 2Ω resistor at the bottom is labeled \( v_a \) and \( v_b \). 6. **Circuit Ground:** - The bottom node, below the lower 2Ω resistor, is grounded, indicating it as the reference point (0 volts) for measuring other voltages in the circuit. In this circuit, the aim is to analyze the current and voltage relationships using components, such as resistors and dependent sources, applying theoretical principles like Ohm's Law and Kirchhoff’s Laws.
Transcribed Image Text:This is a circuit diagram showing a network of resistors, a current source, and a dependent voltage source. Here's a detailed breakdown of the components and their arrangement: 1. **Nodes:** - The circuit has three main nodes labeled a, b, and c. - Node a is located between a 1Ω resistor and a 3 A current source. - Node b is between two 2Ω resistors and has a common terminal with the current source. 2. **Resistors:** - There are three resistors in the circuit: - A 1Ω resistor is connected between node a and node c. - Two 2Ω resistors are present: - One is in series with the 1Ω resistor, also connecting to node c. - Another 2Ω resistor connects between node a and a ground point. 3. **Independent Current Source:** - A 3 A current source is directed into node b, denoted by an arrow indicating the direction of current flow from a to b. 4. **Dependent Voltage Source:** - The dependent voltage source is on the right side of the circuit, labeled \( v_c \), with a value of \( Ai_1 \). - The dependent source is controlled by the current \( i_1 \) through the 1Ω and the top 2Ω resistor. 5. **Currents and Voltages:** - Current \( i_1 \) flows through the left branch of the circuit containing the 1Ω resistor. - Current \( i_2 \) flows through the right side of the circuit containing the dependent source. - The voltage across the 2Ω resistor at the bottom is labeled \( v_a \) and \( v_b \). 6. **Circuit Ground:** - The bottom node, below the lower 2Ω resistor, is grounded, indicating it as the reference point (0 volts) for measuring other voltages in the circuit. In this circuit, the aim is to analyze the current and voltage relationships using components, such as resistors and dependent sources, applying theoretical principles like Ohm's Law and Kirchhoff’s Laws.
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