Problem 4 V DD=+5 V MOSFET Parameters: Kn = Kp = 2 mA/V² |VTN| = |Vr| = 0.75 V Am = 2p = 0.01 Vi IREF { RREF VDD o Vo R1 H 00 A. Consider IREF = 0.25 mA. What is the range of output voltage for which the circuit operates as a small-signal amplifier? (Hint: What should be the region of operation for both devices?) B. If we wish to increase the value of IREF, this can be done by RREF and by R2.

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Chapter29: Service-entrance Calculations
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**Problem 4**

**Circuit Diagram:**

- The circuit includes three MOSFETs labeled Q1, Q2, and Q3.
- Applied voltage \( V_{DD} = +5 \, \text{V} \).
- Reference current \( I_{REF} \) flows through \( R_{REF} \).
- Resistors \( R_1 \) and \( R_2 \) are connected in series, with input voltage \( v_i \) and output voltage \( v_o \) specified.

**MOSFET Parameters:**

- \( K_n = K_p = 2 \, \text{mA/V}^2 \)
- \( |V_{TN}| = |V_{TP}| = 0.75 \, \text{V} \)
- \( \lambda_n = \lambda_p = 0.01 \, \text{V}^{-1} \)

**Questions:**

A. Consider \( I_{REF} = 0.25 \, \text{mA} \). What is the range of output voltage for which the circuit operates as a small-signal amplifier? *(Hint: What should be the region of operation for both devices?)*

B. If we wish to increase the value of \( I_{REF} \), this can be done by ___________________ \( R_{REF} \) and by ___________________ \( R_2 \).

C. If \( I_{REF} \) is made a factor of 4 greater, by what factor will \( g_{m1} \) change? Justify your answer with a supporting equation.

D. If \( I_{REF} \) is made a factor of 4 greater, by what factor will the amplifier circuit’s output resistance, \( R_{out} \), change? Justify your answer with a supporting equation.

E. If \( I_{REF} \) is made a factor of 4 greater, by what factor will the amplifier circuit’s voltage gain, \( v_o/v_i \), change? Justify your answer with a supporting equation.
Transcribed Image Text:**Problem 4** **Circuit Diagram:** - The circuit includes three MOSFETs labeled Q1, Q2, and Q3. - Applied voltage \( V_{DD} = +5 \, \text{V} \). - Reference current \( I_{REF} \) flows through \( R_{REF} \). - Resistors \( R_1 \) and \( R_2 \) are connected in series, with input voltage \( v_i \) and output voltage \( v_o \) specified. **MOSFET Parameters:** - \( K_n = K_p = 2 \, \text{mA/V}^2 \) - \( |V_{TN}| = |V_{TP}| = 0.75 \, \text{V} \) - \( \lambda_n = \lambda_p = 0.01 \, \text{V}^{-1} \) **Questions:** A. Consider \( I_{REF} = 0.25 \, \text{mA} \). What is the range of output voltage for which the circuit operates as a small-signal amplifier? *(Hint: What should be the region of operation for both devices?)* B. If we wish to increase the value of \( I_{REF} \), this can be done by ___________________ \( R_{REF} \) and by ___________________ \( R_2 \). C. If \( I_{REF} \) is made a factor of 4 greater, by what factor will \( g_{m1} \) change? Justify your answer with a supporting equation. D. If \( I_{REF} \) is made a factor of 4 greater, by what factor will the amplifier circuit’s output resistance, \( R_{out} \), change? Justify your answer with a supporting equation. E. If \( I_{REF} \) is made a factor of 4 greater, by what factor will the amplifier circuit’s voltage gain, \( v_o/v_i \), change? Justify your answer with a supporting equation.
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