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For the circuit below, let K n’∙W/L = 4mA/V^2 d) Find the value of ro given V A = 25V (λ = 1/(25V)). e) If Rin = 1MΩ, find the value that RG must be. f) For Rsig = 1MΩ and RL = 40kΩ, find the value of the overall voltage gain vo/vsig

For the circuit below, let K n’∙W/L = 4mA/V^2 d) Find the value of ro given V A = 25V (λ = 1/(25V)). e) If Rin = 1MΩ, find the value that RG must be. f) For Rsig = 1MΩ and RL = 40kΩ, find the value of the overall voltage gain vo/vsig

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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For the circuit below, let K n’∙W/L = 4mA/V^2

d) Find the value of ro given V A = 25V (λ = 1/(25V)).
e) If Rin = 1MΩ, find the value that RG must be.
f) For Rsig = 1MΩ and RL = 40kΩ, find the value of the overall voltage gain vo/vsig

This schematic diagram represents an amplifier circuit with several key components. ### Components: 1. **Voltage Source (\( v_{\text{sig}} \)):** - This is the input signal voltage source connected in series with a resistor, \( R_{\text{sig}} \). 2. **Resistors:** - \( R_{\text{sig}} \): Connected to the input voltage source. - \( R_{\text{in}} \): At the input of the amplifier for signal conditioning. - \( R_{\text{G}} \): Used to set the gate bias. - \( R_{\text{D}} \): Connected to \( V_{\text{DD}} \), serving as the drain resistor. - \( R_{\text{L}} \): Load resistor at the output. 3. **Power Supplies:** - \( V_{\text{DD}} = +5 \, \text{V} \): A positive supply voltage. - \( -V_{\text{SS}} \): A negative supply, utilized in conjunction with a constant current source (depicted as \( I \)). 4. **Capacitors:** - Two capacitors are present, one of which is shown as part of the coupling path for the output voltage \( v_o \). - \( C_S \): Typically used for stability or filtering purposes in conjunction with the current source. 5. **Current Source (\( I \)):** - Provides a constant current for biasing the active devices in the circuit. ### Connections and Functionality: - The input signal (\( v_{\text{sig}} \)) is fed into the amplifier with the voltage passing through \( R_{\text{sig}} \) into the gate terminal of the active device (not explicitly labeled here). - The \( R_{\text{D}} \) and \( R_{\text{L}} \) resistors at the output path form part of the load line for the device, influencing amplification characteristics. - \( C_S \) is likely used for AC coupling, while the constant current source helps maintain the device’s operational point. Overall, this circuit appears to be designed to amplify an input signal, featuring biasing components and stabilization measures to ensure functionality over a range of input conditions.
Transcribed Image Text:This schematic diagram represents an amplifier circuit with several key components. ### Components: 1. **Voltage Source (\( v_{\text{sig}} \)):** - This is the input signal voltage source connected in series with a resistor, \( R_{\text{sig}} \). 2. **Resistors:** - \( R_{\text{sig}} \): Connected to the input voltage source. - \( R_{\text{in}} \): At the input of the amplifier for signal conditioning. - \( R_{\text{G}} \): Used to set the gate bias. - \( R_{\text{D}} \): Connected to \( V_{\text{DD}} \), serving as the drain resistor. - \( R_{\text{L}} \): Load resistor at the output. 3. **Power Supplies:** - \( V_{\text{DD}} = +5 \, \text{V} \): A positive supply voltage. - \( -V_{\text{SS}} \): A negative supply, utilized in conjunction with a constant current source (depicted as \( I \)). 4. **Capacitors:** - Two capacitors are present, one of which is shown as part of the coupling path for the output voltage \( v_o \). - \( C_S \): Typically used for stability or filtering purposes in conjunction with the current source. 5. **Current Source (\( I \)):** - Provides a constant current for biasing the active devices in the circuit. ### Connections and Functionality: - The input signal (\( v_{\text{sig}} \)) is fed into the amplifier with the voltage passing through \( R_{\text{sig}} \) into the gate terminal of the active device (not explicitly labeled here). - The \( R_{\text{D}} \) and \( R_{\text{L}} \) resistors at the output path form part of the load line for the device, influencing amplification characteristics. - \( C_S \) is likely used for AC coupling, while the constant current source helps maintain the device’s operational point. Overall, this circuit appears to be designed to amplify an input signal, featuring biasing components and stabilization measures to ensure functionality over a range of input conditions.
**a)** Drain current \( I_D = I = 0.125 \, \text{mA} \) when MOSFET is in saturation with overdrive voltage \( V_{OV} = 0.25 \, \text{V} \). **b)** Resistance \( R_D = 40 \, \text{k}\Omega \) when \( V_D = 0 \, \text{V} \). **c)** Value of transconductance \( g_m = \frac{1 \, \text{mA}}{\text{V}} \).
Transcribed Image Text:**a)** Drain current \( I_D = I = 0.125 \, \text{mA} \) when MOSFET is in saturation with overdrive voltage \( V_{OV} = 0.25 \, \text{V} \). **b)** Resistance \( R_D = 40 \, \text{k}\Omega \) when \( V_D = 0 \, \text{V} \). **c)** Value of transconductance \( g_m = \frac{1 \, \text{mA}}{\text{V}} \).
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