For each of the 3 circuits below calculate input impedance Zin. Do not consider any capacitor other than the ones shown in the circuit VDD VDD T C₁ C2 C₁ C2 HH M₁ 24 5 C2 Zin λ=0 Zin Zin HM₁ λ=0 (a) HM₂ HH 2 #0 VDD (b) M₁ (c)

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**Title:** Calculation of Input Impedance in Three MOSFET Circuits

**Objective:** For each of the three circuits below, calculate the input impedance (Zin). Do not consider any capacitor other than the ones shown in the circuit.

**Description of Circuits:**

**Circuit (a):**
- This is a single MOSFET configuration with two capacitors, C1 and C2.
- The source of MOSFET M1 is grounded.
- The input impedance Zin is marked at the input node.
- There is a constant current source, I1, connected to the drain of M1, with the supply voltage VDD.
- The parameter λ (channel length modulation) is set to 0, indicating that the drain current is independent of the drain-source voltage.

**Circuit (b):**
- This circuit includes two MOSFETs, M1 and M2, connected in series.
- Capacitors C1 and C2 are present in similar positions as in circuit (a).
- The input impedance Zin is again marked at the input node.
- M2 is connected to the drain of M1, and its source is connected to the constant supply VDD.
- Here, λ is not equal to 0, indicating the consideration of channel length modulation.

**Circuit (c):**
- This configuration is similar to circuit (a) but rearranged.
- MOSFET M1 is present with the capacitors C1 and C2; however, the positions of the current source I1 and VDD are slightly modified.
- The input impedance Zin is located at the input node.
- The parameter λ is set to 0.

**Instructions:**
For each circuit, analyze the configurations to derive expressions for the input impedance considering the given parameters and components.
Transcribed Image Text:**Title:** Calculation of Input Impedance in Three MOSFET Circuits **Objective:** For each of the three circuits below, calculate the input impedance (Zin). Do not consider any capacitor other than the ones shown in the circuit. **Description of Circuits:** **Circuit (a):** - This is a single MOSFET configuration with two capacitors, C1 and C2. - The source of MOSFET M1 is grounded. - The input impedance Zin is marked at the input node. - There is a constant current source, I1, connected to the drain of M1, with the supply voltage VDD. - The parameter λ (channel length modulation) is set to 0, indicating that the drain current is independent of the drain-source voltage. **Circuit (b):** - This circuit includes two MOSFETs, M1 and M2, connected in series. - Capacitors C1 and C2 are present in similar positions as in circuit (a). - The input impedance Zin is again marked at the input node. - M2 is connected to the drain of M1, and its source is connected to the constant supply VDD. - Here, λ is not equal to 0, indicating the consideration of channel length modulation. **Circuit (c):** - This configuration is similar to circuit (a) but rearranged. - MOSFET M1 is present with the capacitors C1 and C2; however, the positions of the current source I1 and VDD are slightly modified. - The input impedance Zin is located at the input node. - The parameter λ is set to 0. **Instructions:** For each circuit, analyze the configurations to derive expressions for the input impedance considering the given parameters and components.
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