For the small signal circuit below, use Thevenin analysis to determine an expression for the input resistance ( R, ). in Note that “g" represents the gain for the current source.
For the small signal circuit below, use Thevenin analysis to determine an expression for the input resistance ( R, ). in Note that “g" represents the gain for the current source.
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![**Problem 5: Thevenin Analysis for Input Resistance**
For the small signal circuit provided, apply Thevenin analysis to derive an expression for the input resistance (\( R_{\text{in}} \)).
**Note:** The variable "g" represents the gain of the current source.
**Circuit Diagram Description:**
- The circuit consists of an input resistance \( R_{\text{in}} \) connected in series with a resistor \( R_C \).
- Parallel to \( R_C \), there is another resistor \( R_B \).
- The circuit includes a dependent current source \( gV_B \), where "g" is the gain and \( V_B \) is the voltage across \( R_B \).
- \( V_B \) is marked with a positive terminal on the top and a negative terminal on the bottom.
**Objective:**
Determine the expression for the input resistance \( R_{\text{in}} \) using Thevenin analysis of the given circuit configuration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F864effe5-cb55-4cff-ac18-cf89c6543f82%2F98612443-0675-47fc-afc5-99c4838df86b%2Ft40sz1m_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 5: Thevenin Analysis for Input Resistance**
For the small signal circuit provided, apply Thevenin analysis to derive an expression for the input resistance (\( R_{\text{in}} \)).
**Note:** The variable "g" represents the gain of the current source.
**Circuit Diagram Description:**
- The circuit consists of an input resistance \( R_{\text{in}} \) connected in series with a resistor \( R_C \).
- Parallel to \( R_C \), there is another resistor \( R_B \).
- The circuit includes a dependent current source \( gV_B \), where "g" is the gain and \( V_B \) is the voltage across \( R_B \).
- \( V_B \) is marked with a positive terminal on the top and a negative terminal on the bottom.
**Objective:**
Determine the expression for the input resistance \( R_{\text{in}} \) using Thevenin analysis of the given circuit configuration.
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