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For each of the following problems determine a) small signal parameters mo b) Draw the small signal circuit for the amplifier c) Input resistance Rin d) Output Resistance Rout e) Voltage gain Ay V₁ f) Overall voltage gain Gy $

For each of the following problems determine a) small signal parameters mo b) Draw the small signal circuit for the amplifier c) Input resistance Rin d) Output Resistance Rout e) Voltage gain Ay V₁ f) Overall voltage gain Gy $

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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The pMOSFET has the following parameters: - Threshold voltage (\(V_t\)): \(-1V\) - Transconductance parameter (\(\frac{1}{2}k'_n \frac{W}{L}\)): \(0.5 \, \text{mA/V}^2\) - Early voltage (\(V_A\)): \(\rightarrow \infty\) The schematic diagram shown is a pMOSFET amplifier circuit. Below is a detailed explanation of the circuit components and their connections: 1. **Power Supply (\(V_{DD}\))**: The circuit is powered by a 10V supply voltage. 2. **pMOSFET Transistor**: - Source (S) is connected to a resistor (\(R_S = 2K\)). - Gate (G) is connected through a capacitor (\(C_{IN}\)) and resistors (\(R_1 = 1.6M\) and \(R_2 = 820K\)). 3. **Input**: - The input signal (\(V_S\)) presumably an AC signal, is applied through \(C_{IN}\). 4. **Resistors**: - \(R_1 = 1.6M\): Resistor connected between \(V_{DD}\) and the gate of the transistor. - \(R_2 = 820K\): Resistor connected from the gate to the ground. - \(R_S = 2K\): Source resistor. - \(R_D = 1K\): Drain resistor. - \(R_L = 1K\): Load resistor. 5. **Capacitors**: - \(C_{IN}\): Input coupling capacitor that blocks DC. - \(C_C\): Coupling capacitor connected between the drain and output. 6. **Output (\(V_o\))**: - The amplified output signal is taken across \(R_L\) with respect to ground. This diagram illustrates the configuration of a common-source amplifier using a pMOSFET, showing how signal amplification is achieved by controlling the gate voltage relative to the source. The careful selection of resistors and capacitors helps set the gain, input/output impedance, and bandwidth of the amplifier.
Transcribed Image Text:The pMOSFET has the following parameters: - Threshold voltage (\(V_t\)): \(-1V\) - Transconductance parameter (\(\frac{1}{2}k'_n \frac{W}{L}\)): \(0.5 \, \text{mA/V}^2\) - Early voltage (\(V_A\)): \(\rightarrow \infty\) The schematic diagram shown is a pMOSFET amplifier circuit. Below is a detailed explanation of the circuit components and their connections: 1. **Power Supply (\(V_{DD}\))**: The circuit is powered by a 10V supply voltage. 2. **pMOSFET Transistor**: - Source (S) is connected to a resistor (\(R_S = 2K\)). - Gate (G) is connected through a capacitor (\(C_{IN}\)) and resistors (\(R_1 = 1.6M\) and \(R_2 = 820K\)). 3. **Input**: - The input signal (\(V_S\)) presumably an AC signal, is applied through \(C_{IN}\). 4. **Resistors**: - \(R_1 = 1.6M\): Resistor connected between \(V_{DD}\) and the gate of the transistor. - \(R_2 = 820K\): Resistor connected from the gate to the ground. - \(R_S = 2K\): Source resistor. - \(R_D = 1K\): Drain resistor. - \(R_L = 1K\): Load resistor. 5. **Capacitors**: - \(C_{IN}\): Input coupling capacitor that blocks DC. - \(C_C\): Coupling capacitor connected between the drain and output. 6. **Output (\(V_o\))**: - The amplified output signal is taken across \(R_L\) with respect to ground. This diagram illustrates the configuration of a common-source amplifier using a pMOSFET, showing how signal amplification is achieved by controlling the gate voltage relative to the source. The careful selection of resistors and capacitors helps set the gain, input/output impedance, and bandwidth of the amplifier.
For each of the following problems, determine: a) Small signal parameters \( g_m, r_o \) b) Draw the small signal circuit for the amplifier c) Input resistance \( R_{in} \) d) Output resistance \( R_{out} \) e) Voltage gain \( A_v = \frac{v_o}{v_i} \) f) Overall voltage gain \( G_v = \frac{v_o}{v_s} \)
Transcribed Image Text:For each of the following problems, determine: a) Small signal parameters \( g_m, r_o \) b) Draw the small signal circuit for the amplifier c) Input resistance \( R_{in} \) d) Output resistance \( R_{out} \) e) Voltage gain \( A_v = \frac{v_o}{v_i} \) f) Overall voltage gain \( G_v = \frac{v_o}{v_s} \)
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