Consider the following network: V₁ >20Ω kVx www 20Ω 109 V₂ *5Ω + 7.2V What value of k will result in V, = 20V? 4 '5Ω ww 109 V3 2V x ww 20Ω 5Ω VA 109 1.5A 109 20Ω
Consider the following network: V₁ >20Ω kVx www 20Ω 109 V₂ *5Ω + 7.2V What value of k will result in V, = 20V? 4 '5Ω ww 109 V3 2V x ww 20Ω 5Ω VA 109 1.5A 109 20Ω
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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
Transcribed Image Text:**Transcription of Circuit Network**
**Description and Components:**
1. **Independent Voltage Source:**
- A 7.2V voltage source is located between nodes \(V_2\) and ground, in series with a 5Ω resistor (\(V_x\)).
2. **Dependant Voltage Source:**
- Dependent on \(V_x\), located between nodes \(V_1\) and \(V_2\).
- Voltage across it is \(kV_x\).
3. **Dependent Current Source:**
- Dependent on \(V_x\), located between nodes \(V_2\) and \(V_3\).
- Current through it is \(2V_x\).
4. **Independent Current Source:**
- A 1.5A current source directed upwards connected to node \(V_4\) in parallel to a 10Ω resistor.
5. **Resistors:**
- Between \(V_1\) and \(V_2\): 20Ω
- Parallel to \(kV_x\): 10Ω
- Parallel to dependent current source \(2V_x\): 5Ω
- Between \(V_2\) and \(V_3\): 10Ω
- Between \(V_3\) and \(V_4\): 20Ω
- In series with the 1.5A current source: 10Ω
- To the right of the circuit: 20Ω
**Objective:**
- Calculate the value of \(k\) such that \(V_4 = 20\)V.
**Note to Students:**
- Analyze the circuit using known principles such as Ohm's Law, Kirchhoff’s Voltage Law (KVL), and Kirchhoff’s Current Law (KCL).
- Make use of the relationships set by dependent sources to solve for the value of \(k\).
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