The MOSFET common-source amplifier shown here has gm= 4 mA/V, ro= 20KQ, CGS = 5 pF and CGD = 1 pF. Use the method of open-circuit time constants to determine the upper band frequency, fi, in Hz.

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**Title:** Determining the Upper Band Frequency of a MOSFET Common-Source Amplifier

**Objective:**
To use the method of open-circuit time constants to find the upper band frequency, \( f_H \), of the given MOSFET common-source amplifier circuit.

**Description of the Circuit:**

- **Components:**
  - A MOSFET transistor labeled \( Q_1 \) is the central active component.
  - The gate of the MOSFET is connected to a voltage signal \( V_{\text{sig}} \) through a resistor \( R_{\text{sig}} = 200 \, \text{k}\Omega \).
  - The gate is also connected to two resistors \( R_{G1} = 2 \, \text{M}\Omega \) and \( R_{G2} = 1 \, \text{M}\Omega \), which are connected to \( V_{\text{DD}} \) and ground respectively.
  - The drain is connected to \( V_{\text{DD}} \) through a resistor \( R_{D} = 10 \, \text{k}\Omega \).
  - The source is grounded through resistor \( R_{S} = 2 \, \text{k}\Omega \).
  - A load resistor \( R_L = 10 \, \text{k}\Omega \) is connected from the output node to ground.
  - Capacitors \( C_1 = 0.1 \, \mu\text{F} \), \( C_2 = 0.1 \, \mu\text{F} \), and \( C_S = 5 \, \mu\text{F} \) are introduced to block DC components.
  
- **MOSFET Parameters:**
  - Transconductance, \( g_m = 4 \, \text{mA/V} \).
  - Output resistance, \( r_o = 20 \, \text{k}\Omega \).
  - Gate-source capacitance, \( C_{GS} = 5 \, \text{pF} \).
  - Gate-drain capacitance, \( C_{GD} = 1 \, \text{pF} \).

**Objective:**
The exercise is to determine the frequency \( f_H \) above which the amplifier's gain falls below its mid-band value by 3 dB. This is
Transcribed Image Text:**Title:** Determining the Upper Band Frequency of a MOSFET Common-Source Amplifier **Objective:** To use the method of open-circuit time constants to find the upper band frequency, \( f_H \), of the given MOSFET common-source amplifier circuit. **Description of the Circuit:** - **Components:** - A MOSFET transistor labeled \( Q_1 \) is the central active component. - The gate of the MOSFET is connected to a voltage signal \( V_{\text{sig}} \) through a resistor \( R_{\text{sig}} = 200 \, \text{k}\Omega \). - The gate is also connected to two resistors \( R_{G1} = 2 \, \text{M}\Omega \) and \( R_{G2} = 1 \, \text{M}\Omega \), which are connected to \( V_{\text{DD}} \) and ground respectively. - The drain is connected to \( V_{\text{DD}} \) through a resistor \( R_{D} = 10 \, \text{k}\Omega \). - The source is grounded through resistor \( R_{S} = 2 \, \text{k}\Omega \). - A load resistor \( R_L = 10 \, \text{k}\Omega \) is connected from the output node to ground. - Capacitors \( C_1 = 0.1 \, \mu\text{F} \), \( C_2 = 0.1 \, \mu\text{F} \), and \( C_S = 5 \, \mu\text{F} \) are introduced to block DC components. - **MOSFET Parameters:** - Transconductance, \( g_m = 4 \, \text{mA/V} \). - Output resistance, \( r_o = 20 \, \text{k}\Omega \). - Gate-source capacitance, \( C_{GS} = 5 \, \text{pF} \). - Gate-drain capacitance, \( C_{GD} = 1 \, \text{pF} \). **Objective:** The exercise is to determine the frequency \( f_H \) above which the amplifier's gain falls below its mid-band value by 3 dB. This is
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