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i. If R1 is replaced by a short circuit. Complete the formula below for the application of KVL at node A. Use the symbols A,B,& C for the voltages at the nodes) KCL at A: (А-100) (A– 20) (А-С) =0A 4 4

i. If R1 is replaced by a short circuit. Complete the formula below for the application of KVL at node A. Use the symbols A,B,& C for the voltages at the nodes) KCL at A: (А-100) (A– 20) (А-С) =0A 4 4

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 image illustrates an electric circuit featuring a combination of resistors, voltage sources, and a dependent voltage source. Below is a detailed description of the circuit components and layout: ### Circuit Description: 1. **Voltage Sources:** - There is a 100 V independent voltage source positioned on the left side of the circuit. - A 20 V independent voltage source is located vertically at the center of the circuit. 2. **Resistors:** - Five resistors are used, each with a resistance of 4 Ω. - A resistor is placed in series with the 100 V source on the left. - Two resistors are placed horizontally, connecting points A to B and B to C. - Another resistor is connected vertically from point A downwards in series with the 20 V source. - The last resistor is placed vertically on the right section of the circuit and is marked as \( R_L \). 3. **Dependent Voltage Source:** - The diamond-shaped component on the circuit diagram is a dependent voltage source. - Its voltage is expressed as \( 4V_x \), which indicates that its output is dependent on the voltage across another part of the circuit (denoted as \( V_x \)). - This dependent source is connected between the horizontal series resistors at the top. 4. **Nodes:** - Points A, B, and C are critical nodes in the circuit. - Node A is a junction connecting the central vertical resistor, the horizontal resistor to B, and the horizontal resistor to C. ### Analyzing the Circuit: - **Voltage Measurements:** - \( V_x \) is the voltage across the central vertical 4 Ω resistor connected in series with the 20 V source. - **Current and Voltage Relations:** - The circuit elements are interconnected such that analyzing the current flow and voltages at various nodes would require applying Kirchhoff's laws or mesh and nodal analysis techniques. This circuit could be used for educational purposes to demonstrate the interaction between independent and dependent sources and techniques for analyzing complex circuits.
Transcribed Image Text:The image illustrates an electric circuit featuring a combination of resistors, voltage sources, and a dependent voltage source. Below is a detailed description of the circuit components and layout: ### Circuit Description: 1. **Voltage Sources:** - There is a 100 V independent voltage source positioned on the left side of the circuit. - A 20 V independent voltage source is located vertically at the center of the circuit. 2. **Resistors:** - Five resistors are used, each with a resistance of 4 Ω. - A resistor is placed in series with the 100 V source on the left. - Two resistors are placed horizontally, connecting points A to B and B to C. - Another resistor is connected vertically from point A downwards in series with the 20 V source. - The last resistor is placed vertically on the right section of the circuit and is marked as \( R_L \). 3. **Dependent Voltage Source:** - The diamond-shaped component on the circuit diagram is a dependent voltage source. - Its voltage is expressed as \( 4V_x \), which indicates that its output is dependent on the voltage across another part of the circuit (denoted as \( V_x \)). - This dependent source is connected between the horizontal series resistors at the top. 4. **Nodes:** - Points A, B, and C are critical nodes in the circuit. - Node A is a junction connecting the central vertical resistor, the horizontal resistor to B, and the horizontal resistor to C. ### Analyzing the Circuit: - **Voltage Measurements:** - \( V_x \) is the voltage across the central vertical 4 Ω resistor connected in series with the 20 V source. - **Current and Voltage Relations:** - The circuit elements are interconnected such that analyzing the current flow and voltages at various nodes would require applying Kirchhoff's laws or mesh and nodal analysis techniques. This circuit could be used for educational purposes to demonstrate the interaction between independent and dependent sources and techniques for analyzing complex circuits.
If \( R_L \) is replaced by a short circuit, complete the formula below for the application of KVL at node A. Use the symbols A, B, & C for the voltages at the nodes. KCL at A: \[ \frac{(A - 100)}{4} + \boxed{\frac{(A - 20)}{4}} + \frac{(A - C)}{4} = 0A \]
Transcribed Image Text:If \( R_L \) is replaced by a short circuit, complete the formula below for the application of KVL at node A. Use the symbols A, B, & C for the voltages at the nodes. KCL at A: \[ \frac{(A - 100)}{4} + \boxed{\frac{(A - 20)}{4}} + \frac{(A - C)}{4} = 0A \]
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