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)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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**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 \(k\).
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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