2800 µS, IGss = 2 nA at VGs = 15 V. If 35. For a cascode amplifier like shown in Figure 9–25, gm R3 = 15 MN and L = 1.5 mH, determine the voltage gain and the input resistance at f = 100 MHz. VDD Common-gate amplifier L R1 oV out C2 C3 Qi R2 Vin o Q2 R3 RA C4 Common-source amplifier ll

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**Problem Statement:**

35. For a cascode amplifier like shown in Figure 9–25, \( g_m = 2800 \, \mu S \), \( I_{GSS} = 2 \, nA \) at \( V_{GS} = 15 \, V \). If \( R_3 = 15 \, M\Omega \) and \( L = 1.5 \, mH \), determine the voltage gain and the input resistance at \( f = 100 \, MHz \).

**Circuit Diagram Explanation:**

The circuit diagram consists of a cascode amplifier configuration divided into two sections: a common-gate amplifier and a common-source amplifier. The components and their connections are as follows:

- **Common-Gate Amplifier:** 
  - **Transistor \( Q_1 \):** Positioned vertically with its source connected through an inductor \( L \) to \( V_{DD} \).
  - **Resistors \( R_1 \) and \( R_2 \):** Connected in series from the gate to the ground, with a bypass capacitor \( C_2 \) connected between the gate and ground.
  - **Capacitor \( C_3 \):** Connected from the drain of \( Q_1 \) to the output \( V_{\text{out}} \).

- **Common-Source Amplifier:**
  - **Transistor \( Q_2 \):** Placed below \( Q_1 \), with its gate driven by input \( V_{\text{in}} \) through capacitor \( C_1 \).
  - **Resistors \( R_3 \) and \( R_4 \):** Forming a resistor network from the source of \( Q_2 \) to the ground, with a bypass capacitor \( C_4 \) parallel to \( R_4 \).

The color-coded sections indicate:
- **Yellow Box:** Represents the common-gate amplifier involving \( Q_1 \).
- **Green Box:** Represents the common-source amplifier involving \( Q_2 \).

This complex circuit setup efficiently combines the benefits of high input resistance from the common-source stage and the high gain from the cascode configuration. The task is to calculate the voltage gain and input resistance at a specified frequency.
Transcribed Image Text:**Problem Statement:** 35. For a cascode amplifier like shown in Figure 9–25, \( g_m = 2800 \, \mu S \), \( I_{GSS} = 2 \, nA \) at \( V_{GS} = 15 \, V \). If \( R_3 = 15 \, M\Omega \) and \( L = 1.5 \, mH \), determine the voltage gain and the input resistance at \( f = 100 \, MHz \). **Circuit Diagram Explanation:** The circuit diagram consists of a cascode amplifier configuration divided into two sections: a common-gate amplifier and a common-source amplifier. The components and their connections are as follows: - **Common-Gate Amplifier:** - **Transistor \( Q_1 \):** Positioned vertically with its source connected through an inductor \( L \) to \( V_{DD} \). - **Resistors \( R_1 \) and \( R_2 \):** Connected in series from the gate to the ground, with a bypass capacitor \( C_2 \) connected between the gate and ground. - **Capacitor \( C_3 \):** Connected from the drain of \( Q_1 \) to the output \( V_{\text{out}} \). - **Common-Source Amplifier:** - **Transistor \( Q_2 \):** Placed below \( Q_1 \), with its gate driven by input \( V_{\text{in}} \) through capacitor \( C_1 \). - **Resistors \( R_3 \) and \( R_4 \):** Forming a resistor network from the source of \( Q_2 \) to the ground, with a bypass capacitor \( C_4 \) parallel to \( R_4 \). The color-coded sections indicate: - **Yellow Box:** Represents the common-gate amplifier involving \( Q_1 \). - **Green Box:** Represents the common-source amplifier involving \( Q_2 \). This complex circuit setup efficiently combines the benefits of high input resistance from the common-source stage and the high gain from the cascode configuration. The task is to calculate the voltage gain and input resistance at a specified frequency.
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