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.
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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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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