4a) For the circuit shown to the right, draw the small signal equivalent circuit (including ro). Be sure to label everything (e.g., Vbe, gm, etc.) Do not assume identical transistors (i.e., keep all subscripts). Use correct small signal notation!

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**Problem #4 - Small Signal Analysis**

**4a)** For the circuit shown to the right, draw the small signal equivalent circuit (including \( r_o \)). Be sure to label *everything* (e.g., \( v_{be}, g_m \), etc.). Do not assume identical transistors (i.e., keep all subscripts). Use correct small signal notation!

**Diagram Description:**

The circuit consists of two transistors \( Q_1 \) and \( Q_2 \). It includes the following components:

- \( V_{CC} \) connected to resistors \( R_1 \), \( R_3 \), and \( R_4 \).
- A capacitor \( C \).
- A resistor \( R_2 \) connected to ground.
- Output voltage \( V_{OUT} \) is taken across resistor \( R_4 \).
- Input voltage \( V_I \) is connected with a source symbol.

**4b)** For the small signal equivalent circuit shown on the right, solve for \( R_{in} \). Do not assume identical transistors.

**Diagram Description:**

This small-signal equivalent circuit consists of:

- The input resistance \( R_{in} \).
- A current source representing \( i_1 \).
- A dependent current source \( g_m v_{be_1} \) and \( g_m v_{be_2} \).
- The transistors are represented by their small-signal models with \( r_{o1} \) and \( r_{o2} \).
- \( v_{be_1} \) and \( v_{be_2} \) indicate the base-emitter voltages.
- A resistor \( R \) in the left-most branch.
- The internal resistance of transistors \( r_{\pi 1} \) and \( r_{\pi 2} \).
Transcribed Image Text:**Problem #4 - Small Signal Analysis** **4a)** For the circuit shown to the right, draw the small signal equivalent circuit (including \( r_o \)). Be sure to label *everything* (e.g., \( v_{be}, g_m \), etc.). Do not assume identical transistors (i.e., keep all subscripts). Use correct small signal notation! **Diagram Description:** The circuit consists of two transistors \( Q_1 \) and \( Q_2 \). It includes the following components: - \( V_{CC} \) connected to resistors \( R_1 \), \( R_3 \), and \( R_4 \). - A capacitor \( C \). - A resistor \( R_2 \) connected to ground. - Output voltage \( V_{OUT} \) is taken across resistor \( R_4 \). - Input voltage \( V_I \) is connected with a source symbol. **4b)** For the small signal equivalent circuit shown on the right, solve for \( R_{in} \). Do not assume identical transistors. **Diagram Description:** This small-signal equivalent circuit consists of: - The input resistance \( R_{in} \). - A current source representing \( i_1 \). - A dependent current source \( g_m v_{be_1} \) and \( g_m v_{be_2} \). - The transistors are represented by their small-signal models with \( r_{o1} \) and \( r_{o2} \). - \( v_{be_1} \) and \( v_{be_2} \) indicate the base-emitter voltages. - A resistor \( R \) in the left-most branch. - The internal resistance of transistors \( r_{\pi 1} \) and \( r_{\pi 2} \).
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