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The pMOSFET has e) V₁=-IV, AC CIN R₁ 'k' W=0.5mA/V²,V₁0⁰ "L R₁ 1.6 M V R₂ 820k DD = 10V Rs 2K W f) Overall voltage gain_G₁=1 / RD 1K R. R₁ 1K + a) small signal parameters gro b) Draw the small signal circuit for the amplifier c) Input resistance Rin d) Output Resistance Rout Voltage gain Ay= Vo BAZAART

The pMOSFET has e) V₁=-IV, AC CIN R₁ 'k' W=0.5mA/V²,V₁0⁰ "L R₁ 1.6 M V R₂ 820k DD = 10V Rs 2K W f) Overall voltage gain_G₁=1 / RD 1K R. R₁ 1K + a) small signal parameters gro b) Draw the small signal circuit for the amplifier c) Input resistance Rin d) Output Resistance Rout Voltage gain Ay= Vo BAZAART

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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3 cont) please solve last three sub parts with given info:
### PMOSFET Amplifier Analysis **PMOSFET Specifications:** - Threshold voltage (\( V_t \)): -1V - Transconductance parameter (\( k_n \)): \(\frac{1}{2}\) - Width to length ratio (\( \frac{W}{L} \)): \(0.5 \, \text{mA/V}^2\) - Early voltage (\( V_A \)): \(\infty\) **Circuit Description:** The diagram displays a PMOSFET amplifier circuit with the following components and values: - **\( V_{DD} \)**: 10V supply voltage. - **Resistors:** - \( R_1 = 1.6 \, \text{M}\Omega \) - \( R_2 = 820 \, \text{k}\Omega \) - \( R_S = 2 \, \text{k}\Omega \) - \( R_D = 1 \, \text{k}\Omega \) - \( R_L = 1 \, \text{k}\Omega \) - **Capacitors:** - Input coupling capacitor (\( C_{IN} \)) - Output coupling capacitor (\( C_{C} \)) - **MOSFET Configuration:** - Gate (G) - Source (S) - Drain (D) **Problem Statements:** a) **Small Signal Parameters**: Determine \( g_m \) (transconductance) and \( r_o \) (output resistance of the MOSFET). b) **Small Signal Circuit**: Draw the small signal model of the amplifier. c) **Input Resistance (\( R_{in} \))**: Calculate the input resistance of the amplifier circuit. d) **Output Resistance (\( R_{out} \))**: Calculate the output resistance seen from the output node. e) **Voltage Gain (\( A_V \))**: Calculate the voltage gain of the amplifier (\( A_V = \frac{v_o}{v_i} \)), where \( v_o \) is the output voltage and \( v_i \) is the input voltage. f) **Overall Voltage Gain (\( G_V \))**: Calculate the overall voltage gain (\( G_V = \frac{v_o}{v_s} \)), where \( v_s \) is the source voltage.
Transcribed Image Text:### PMOSFET Amplifier Analysis **PMOSFET Specifications:** - Threshold voltage (\( V_t \)): -1V - Transconductance parameter (\( k_n \)): \(\frac{1}{2}\) - Width to length ratio (\( \frac{W}{L} \)): \(0.5 \, \text{mA/V}^2\) - Early voltage (\( V_A \)): \(\infty\) **Circuit Description:** The diagram displays a PMOSFET amplifier circuit with the following components and values: - **\( V_{DD} \)**: 10V supply voltage. - **Resistors:** - \( R_1 = 1.6 \, \text{M}\Omega \) - \( R_2 = 820 \, \text{k}\Omega \) - \( R_S = 2 \, \text{k}\Omega \) - \( R_D = 1 \, \text{k}\Omega \) - \( R_L = 1 \, \text{k}\Omega \) - **Capacitors:** - Input coupling capacitor (\( C_{IN} \)) - Output coupling capacitor (\( C_{C} \)) - **MOSFET Configuration:** - Gate (G) - Source (S) - Drain (D) **Problem Statements:** a) **Small Signal Parameters**: Determine \( g_m \) (transconductance) and \( r_o \) (output resistance of the MOSFET). b) **Small Signal Circuit**: Draw the small signal model of the amplifier. c) **Input Resistance (\( R_{in} \))**: Calculate the input resistance of the amplifier circuit. d) **Output Resistance (\( R_{out} \))**: Calculate the output resistance seen from the output node. e) **Voltage Gain (\( A_V \))**: Calculate the voltage gain of the amplifier (\( A_V = \frac{v_o}{v_i} \)), where \( v_o \) is the output voltage and \( v_i \) is the input voltage. f) **Overall Voltage Gain (\( G_V \))**: Calculate the overall voltage gain (\( G_V = \frac{v_o}{v_s} \)), where \( v_s \) is the source voltage.
**Transcription for Educational Website:** **Equations and Calculations:** 1. \( V_{ds} = 5 \times \frac{3}{5} = 3 \, V \) 2. \( V_s = (I_D + x) = 2 \, I_D \) 3. \( I_{D} = \frac{k_n}{2} (V_{gs} - V_T)^2 \) 4. \( I_{D} = 0.5 (3 - 2 \, I_D - 1) \) 5. \( 2 \, I_D = 4 (1 - I_D) \) 6. \( x \, I_D = \frac{1}{2} (I_D^2 + 1 - 2 \, I_D) \) 7. \( I_D^2 + 1 - 2.5 \, I_D = 0 \) 8. \( I_D = \frac{2.5 + \sqrt{6.25 - 4}}{2} \) 9. **Final Result:** \[ I_{D} = 0.5 \, \mu A \] **Additional Calculations:** 1. \( g_m = \sqrt{2 \, k_n \, I_D} \) \[ g_m = \sqrt{2 \times 1 \times 0.5} \] \[ g_m = 1 \, mA/V \] 2. \( g_o = \frac{V_A}{I_D} \) as \( V_A \to 0 \) \[ g_o = 6 \] **Small Signal Equivalent:** - Capacitors are considered as short circuits. **Diagram Analysis:** - The diagram shows a small signal equivalent circuit with resistors and dependent sources: - **Resistors:** 1kΩ, 2.4kΩ, 4kΩ - **Voltage-controlled current source:** \( g_m V_{gs} \) **Additional Calculation:** 1. \( R_{in} = (1 \, k \Omega) + \left( \frac{2 \times 4}{2 + 4} \, k \Omega \right) \) \[ R_{in} = (1 \, k \Omega) + 1.2 \,
Transcribed Image Text:**Transcription for Educational Website:** **Equations and Calculations:** 1. \( V_{ds} = 5 \times \frac{3}{5} = 3 \, V \) 2. \( V_s = (I_D + x) = 2 \, I_D \) 3. \( I_{D} = \frac{k_n}{2} (V_{gs} - V_T)^2 \) 4. \( I_{D} = 0.5 (3 - 2 \, I_D - 1) \) 5. \( 2 \, I_D = 4 (1 - I_D) \) 6. \( x \, I_D = \frac{1}{2} (I_D^2 + 1 - 2 \, I_D) \) 7. \( I_D^2 + 1 - 2.5 \, I_D = 0 \) 8. \( I_D = \frac{2.5 + \sqrt{6.25 - 4}}{2} \) 9. **Final Result:** \[ I_{D} = 0.5 \, \mu A \] **Additional Calculations:** 1. \( g_m = \sqrt{2 \, k_n \, I_D} \) \[ g_m = \sqrt{2 \times 1 \times 0.5} \] \[ g_m = 1 \, mA/V \] 2. \( g_o = \frac{V_A}{I_D} \) as \( V_A \to 0 \) \[ g_o = 6 \] **Small Signal Equivalent:** - Capacitors are considered as short circuits. **Diagram Analysis:** - The diagram shows a small signal equivalent circuit with resistors and dependent sources: - **Resistors:** 1kΩ, 2.4kΩ, 4kΩ - **Voltage-controlled current source:** \( g_m V_{gs} \) **Additional Calculation:** 1. \( R_{in} = (1 \, k \Omega) + \left( \frac{2 \times 4}{2 + 4} \, k \Omega \right) \) \[ R_{in} = (1 \, k \Omega) + 1.2 \,
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