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A conceptual design of an NMOS amplifier is shown below. If V₁= 0.6 volts, k = 0.4 mA/V2, bias VGS = 1.9 volts, VDD 7.0 volts, and Rp = 4 k2, what is the magnitude of the AC voltage gain, lvds/Vgsl? VDD Ugs VGS VGS in RD O Ups

A conceptual design of an NMOS amplifier is shown below. If V₁= 0.6 volts, k = 0.4 mA/V2, bias VGS = 1.9 volts, VDD 7.0 volts, and Rp = 4 k2, what is the magnitude of the AC voltage gain, lvds/Vgsl? VDD Ugs VGS VGS in RD O Ups

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A conceptual design of an NMOS amplifier is shown below. If \( V_T = 0.6 \) volts, \( k = 0.4 \, \text{mA/V}^2 \), bias \( V_{GS} = 1.9 \) volts, \( V_{DD} = 7.0 \) volts, and \( R_D = 4 \, \text{k}\Omega \), what is the magnitude of the AC voltage gain, \( |v_{ds}/v_{gs}| \)? **Diagram Explanation:** The diagram illustrates a simple NMOS amplifier circuit. Key components and notations in the circuit include: 1. **Voltage Source \( V_{GS} \):** This is connected to the gate of the NMOS transistor, providing the gate-source voltage. 2. **Resistor \( R_D \):** Connected to the drain of the NMOS, it links the drain to the supply voltage \( V_{DD} \). 3. **NMOS Transistor:** Depicted symbolically, it represents the transistor in active mode, where amplification occurs. 4. **Current \( i_D \):** This is the drain current flowing through the NMOS and resistor \( R_D \). 5. **Output Voltage \( v_{ds} \):** Measured across the drain-source, it is the output voltage of the amplifier. 6. **Input Voltage \( v_{gs} \):** This is the AC signal voltage applied across the gate-source terminals. The circuit essentially amplifies the small AC signal \( v_{gs} \) applied to the gate of the NMOS transistor, resulting in a larger output voltage \( v_{ds} \) across the drain-source. The aim is to calculate the magnitude of the AC voltage gain, \( |v_{ds}/v_{gs}| \).
Transcribed Image Text:A conceptual design of an NMOS amplifier is shown below. If \( V_T = 0.6 \) volts, \( k = 0.4 \, \text{mA/V}^2 \), bias \( V_{GS} = 1.9 \) volts, \( V_{DD} = 7.0 \) volts, and \( R_D = 4 \, \text{k}\Omega \), what is the magnitude of the AC voltage gain, \( |v_{ds}/v_{gs}| \)? **Diagram Explanation:** The diagram illustrates a simple NMOS amplifier circuit. Key components and notations in the circuit include: 1. **Voltage Source \( V_{GS} \):** This is connected to the gate of the NMOS transistor, providing the gate-source voltage. 2. **Resistor \( R_D \):** Connected to the drain of the NMOS, it links the drain to the supply voltage \( V_{DD} \). 3. **NMOS Transistor:** Depicted symbolically, it represents the transistor in active mode, where amplification occurs. 4. **Current \( i_D \):** This is the drain current flowing through the NMOS and resistor \( R_D \). 5. **Output Voltage \( v_{ds} \):** Measured across the drain-source, it is the output voltage of the amplifier. 6. **Input Voltage \( v_{gs} \):** This is the AC signal voltage applied across the gate-source terminals. The circuit essentially amplifies the small AC signal \( v_{gs} \) applied to the gate of the NMOS transistor, resulting in a larger output voltage \( v_{ds} \) across the drain-source. The aim is to calculate the magnitude of the AC voltage gain, \( |v_{ds}/v_{gs}| \).
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