hzı hzz hiz= os2 h2i = 1002 hzz= 5052 %3D ) Find G) Vz Vg 2) Find Zin = V9 11 3) Einu 12

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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### Educational Content on Two-Port Network Parameters

This image depicts a two-port network represented by h-parameters, commonly used in electrical engineering to simplify circuit analysis. The two-port network consists of an input and output port with parameters specified to define its behavior.

#### Diagram Explanation:

- **Network Setup:**
  - The network includes an input impedance (\(Zg\)) connected to the source.
  - A two-port network is represented with four h-parameters: \(h_{11}\), \(h_{12}\), \(h_{21}\), and \(h_{22}\), and is flanked by input current (\(I1\)) and output current (\(I2\)).

- **Load Impedance (\(ZL\))** is connected at the output.

#### Given Parameters:

- \(h_{11} = 100 \, \Omega\)
- \(h_{12} = 0 \, \Omega\)
- \(h_{21} = 100 \, \Omega\)
- \(h_{22} = 50 \, \Omega\)

#### Problems to Solve:

1. **Find the Voltage Gain (\( \frac{V2}{Vg} \)):**

   This requires calculating the ratio of the output voltage (\(V2\)) to the source voltage (\(Vg\)), which is influenced by the h-parameters and specified load and source impedances.

2. **Find the Input Impedance (\(Z_{in} = \frac{Vg}{I1} \)):**

   The objective is to determine the input impedance, which is the ratio of the source voltage (\(Vg\)) to the input current (\(I1\)).

3. **Find the Current Gain (\( \frac{I2}{I1} \)):**

   This involves calculating the ratio of the output current (\(I2\)) to the input current (\(I1\)), dictated by the h-parameters.

Using these exercises, students can apply theoretical knowledge of h-parameters to practical scenarios, enhancing their understanding of circuit analysis.
Transcribed Image Text:### Educational Content on Two-Port Network Parameters This image depicts a two-port network represented by h-parameters, commonly used in electrical engineering to simplify circuit analysis. The two-port network consists of an input and output port with parameters specified to define its behavior. #### Diagram Explanation: - **Network Setup:** - The network includes an input impedance (\(Zg\)) connected to the source. - A two-port network is represented with four h-parameters: \(h_{11}\), \(h_{12}\), \(h_{21}\), and \(h_{22}\), and is flanked by input current (\(I1\)) and output current (\(I2\)). - **Load Impedance (\(ZL\))** is connected at the output. #### Given Parameters: - \(h_{11} = 100 \, \Omega\) - \(h_{12} = 0 \, \Omega\) - \(h_{21} = 100 \, \Omega\) - \(h_{22} = 50 \, \Omega\) #### Problems to Solve: 1. **Find the Voltage Gain (\( \frac{V2}{Vg} \)):** This requires calculating the ratio of the output voltage (\(V2\)) to the source voltage (\(Vg\)), which is influenced by the h-parameters and specified load and source impedances. 2. **Find the Input Impedance (\(Z_{in} = \frac{Vg}{I1} \)):** The objective is to determine the input impedance, which is the ratio of the source voltage (\(Vg\)) to the input current (\(I1\)). 3. **Find the Current Gain (\( \frac{I2}{I1} \)):** This involves calculating the ratio of the output current (\(I2\)) to the input current (\(I1\)), dictated by the h-parameters. Using these exercises, students can apply theoretical knowledge of h-parameters to practical scenarios, enhancing their understanding of circuit analysis.
### Problem Analysis and Diagrams for Electrical Network

In this exercise, you will analyze an electrical network using hybrid parameters. You are required to solve the following tasks:

#### Problems to Solve:

1. **Find the Expression:**
   - \(\frac{V_2}{V_g}\)

2. **Find the Input Impedance:**
   - \(Z_{in} = \frac{V_g}{I_1}\)

3. **Find the Expression:**
   - \(\frac{I_2}{I_1}\)

#### Hybrid Parameters:

- \( h_{11} = 100 \, \Omega \)
- \( h_{12} = 0 \)
- \( h_{21} = 100 \, \Omega \)
- \( h_{22} = 50 \, \Omega \)

#### Circuit Diagram Explanation:

The diagram provided represents a model using hybrid parameters, where:

- The left side of the circuit is denoted by input terminal connections \( V_g \) and \( I_1 \).
- The right side is denoted by output connections \( V_2 \) and \( I_2 \).
- There is an impedance \( Z_L \) on the right side of the circuit.

The circuit box is labeled with the hybrid parameters \( h_{11}, h_{12}, h_{21}, \) and \( h_{22} \), indicating a two-port network.

This educational exercise involves understanding and applying hybrid parameters to determine voltage and current transfers across a network. Ensure you understand these calculations and the significance of each parameter within the electrical network.
Transcribed Image Text:### Problem Analysis and Diagrams for Electrical Network In this exercise, you will analyze an electrical network using hybrid parameters. You are required to solve the following tasks: #### Problems to Solve: 1. **Find the Expression:** - \(\frac{V_2}{V_g}\) 2. **Find the Input Impedance:** - \(Z_{in} = \frac{V_g}{I_1}\) 3. **Find the Expression:** - \(\frac{I_2}{I_1}\) #### Hybrid Parameters: - \( h_{11} = 100 \, \Omega \) - \( h_{12} = 0 \) - \( h_{21} = 100 \, \Omega \) - \( h_{22} = 50 \, \Omega \) #### Circuit Diagram Explanation: The diagram provided represents a model using hybrid parameters, where: - The left side of the circuit is denoted by input terminal connections \( V_g \) and \( I_1 \). - The right side is denoted by output connections \( V_2 \) and \( I_2 \). - There is an impedance \( Z_L \) on the right side of the circuit. The circuit box is labeled with the hybrid parameters \( h_{11}, h_{12}, h_{21}, \) and \( h_{22} \), indicating a two-port network. This educational exercise involves understanding and applying hybrid parameters to determine voltage and current transfers across a network. Ensure you understand these calculations and the significance of each parameter within the electrical network.
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