1 M2, M3 M4. M₁, M2, and Ms are operated in d VGS-VT = 1.2V. VGS! M₂ M₁ ✓ IQ VA M₂ VT I Vcc 71-%₂ 3145 M M4 f VA = too V V₁ = 0,5V. DIQ с +5 M² VA- Early with VT= threshold VESE voltage = Uo

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**Problem Statement:**

Determine the magnitude of the small-signal voltage gain of the MOS Operational Amplifier (OPAMP) as follows:
- \( M_1 = M_2, M_3 = M_4\).
- \( M_1, M_2,\) and \( M_5\) are operated in the saturation region.

Given Data:
- \( I_Q = 1 \text{mA} \)
- \( V_{GS1} - V_T = 1 \text{V} \)
- \( V_{GS} - V_T = 1.2 \text{V} \)
- \( V_A = 100 \text{V} \)
- \( V_T = 0.5 \text{V} \)

\( V_A \) is the Early voltage, and \( V_T \) is the threshold voltage.

**Circuit Diagram Explanation:**

The circuit diagram illustrates a MOSFET-based operational amplifier. The components and their connections in the circuit are detailed below:

1. **MOSFET Transistors \( M_1, M_2, M_3, M_4 \), and \( M_5 \):**
   - \( M_1 \) and \( M_2 \) form a differential pair.
   - \( M_3 \) and \( M_4 \) are connected as current mirrors.
   - \( M_5 \) is used as an active load.

2. **Power Supply:**
   - The circuit is powered by \( V_{CC} \) at the top.

3. **Current Sources:**
   - \( I_Q \) represents the quiescent current sources feeding into the circuit.

4. **Capacitor \( C \):**
   - \( C \) serves to couple the output voltage \( U_0 \).

**Component Connections:**

- The gates of \( M_1 \) and \( M_4 \) are connected to the input voltage \( U_1 \). 
- The gate of \( M_2 \) is connected to the source of \( M_1 \).
- The source of \( M_2 \) is grounded.
- The drain of \( M_1 \) connects to the drain of \( M_3 \), which is also connected to one terminal of \( I_Q \).
- The source of \( M_3 \) connects to ground.
Transcribed Image Text:**Problem Statement:** Determine the magnitude of the small-signal voltage gain of the MOS Operational Amplifier (OPAMP) as follows: - \( M_1 = M_2, M_3 = M_4\). - \( M_1, M_2,\) and \( M_5\) are operated in the saturation region. Given Data: - \( I_Q = 1 \text{mA} \) - \( V_{GS1} - V_T = 1 \text{V} \) - \( V_{GS} - V_T = 1.2 \text{V} \) - \( V_A = 100 \text{V} \) - \( V_T = 0.5 \text{V} \) \( V_A \) is the Early voltage, and \( V_T \) is the threshold voltage. **Circuit Diagram Explanation:** The circuit diagram illustrates a MOSFET-based operational amplifier. The components and their connections in the circuit are detailed below: 1. **MOSFET Transistors \( M_1, M_2, M_3, M_4 \), and \( M_5 \):** - \( M_1 \) and \( M_2 \) form a differential pair. - \( M_3 \) and \( M_4 \) are connected as current mirrors. - \( M_5 \) is used as an active load. 2. **Power Supply:** - The circuit is powered by \( V_{CC} \) at the top. 3. **Current Sources:** - \( I_Q \) represents the quiescent current sources feeding into the circuit. 4. **Capacitor \( C \):** - \( C \) serves to couple the output voltage \( U_0 \). **Component Connections:** - The gates of \( M_1 \) and \( M_4 \) are connected to the input voltage \( U_1 \). - The gate of \( M_2 \) is connected to the source of \( M_1 \). - The source of \( M_2 \) is grounded. - The drain of \( M_1 \) connects to the drain of \( M_3 \), which is also connected to one terminal of \( I_Q \). - The source of \( M_3 \) connects to ground.
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