**Determining Input Resistance Using Thevenin Analysis****Objective:**For the small signal circuit shown, use Thevenin analysis to determine an expression for the input resistance (\(R_{in}\)).**Key Note:**- The variable “g” represents the gain for the current source.**Circuit Description:**- The circuit includes: - A resistor labeled \(R_{in}\), connected at the input. - A resistor \(R_C\) in series with a branch containing a parallel combination of: - A resistor \(R_B\) - A voltage source \(v_B\) - A dependent current source represented as \(g v_B\), connected in series with the parallel combination, where \(g\) is the gain factor.**Instructions:**Thevenin analysis is used to simplify a complex circuit into a simple equivalent circuit with a single voltage source and series resistance. In this context, it will help derive the expression for \(R_{in}\).To carry out Thevenin analysis:1. **Identify the portion of the circuit to be analyzed** for finding \(R_{in}\).2. **Remove the load** from the output if present.3. **Determine the open-circuit voltage (Thevenin voltage)** at the terminals of interest.4. **Find the equivalent resistance (Thevenin resistance)** by deactivating all independent sources and calculating the resistance between the terminals.By following these steps, you will deduce the expression for \(R_{in}\) in terms of the given components and the gain \(g\).

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Answered: For the small signal circuit below, use…

For the small signal circuit below, use Thevenin analysis to determine an expression for the input resistance (R). Note that "g" represents the gain for the current source.

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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Concept explainers

Multistage Amplifier

The multistage amplifier is generally a voltage or power amplifier. The multistage amplifier has a number of single stage amplifier that are cascaded together. Since a single stage amplifier output is not useful, they are being replaced with multistage amplifiers or multistage transistor amplifiers. The multistage amplifier are used where the gain required is high or the input signal is very small such that only a single stage amplifier cannot amplify it.

Question

**Determining Input Resistance Using Thevenin Analysis**

**Objective:**

For the small signal circuit shown, use Thevenin analysis to determine an expression for the input resistance (\(R_{in}\)).

**Key Note:**

- The variable “g” represents the gain for the current source.

**Circuit Description:**

- The circuit includes:
- A resistor labeled \(R_{in}\), connected at the input.
- A resistor \(R_C\) in series with a branch containing a parallel combination of:
- A resistor \(R_B\)
- A voltage source \(v_B\)
- A dependent current source represented as \(g v_B\), connected in series with the parallel combination, where \(g\) is the gain factor.

**Instructions:**

Thevenin analysis is used to simplify a complex circuit into a simple equivalent circuit with a single voltage source and series resistance. In this context, it will help derive the expression for \(R_{in}\).

To carry out Thevenin analysis:

1. **Identify the portion of the circuit to be analyzed** for finding \(R_{in}\).
2. **Remove the load** from the output if present.
3. **Determine the open-circuit voltage (Thevenin voltage)** at the terminals of interest.
4. **Find the equivalent resistance (Thevenin resistance)** by deactivating all independent sources and calculating the resistance between the terminals.

By following these steps, you will deduce the expression for \(R_{in}\) in terms of the given components and the gain \(g\).

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