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Neglecting other capacitances, calculate ZX in the circuits below. Sketch ZX | versus frequency.

Neglecting other capacitances, calculate ZX in the circuits below. Sketch ZX | versus frequency.

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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**Title: Calculating Impedance \( Z_X \) in MOSFET Circuits** **Overview:** This lesson focuses on calculating the impedance, \( Z_X \), in two distinct MOSFET amplifier circuits. The simplified circuits neglect other capacitances to facilitate analysis, emphasizing the frequency response of \( |Z_X| \). **Circuit Descriptions:** **Figure (a):** - **Components:** - Two MOSFET transistors, labeled \( M_1 \) and \( M_2 \). - A DC voltage source \( V_{DD} \). - A resistor \( R_D \). - A capacitor \( C_1 \). - A current source \( I_1 \). - Impedance \( Z_X \). - **Circuit Layout:** - \( M_2 \) is connected to \( V_{DD} \) and \( R_D \). - \( M_1 \) is arranged below \( M_2 \) forming a cascode structure. - Capacitor \( C_1 \) connects \( M_1 \) to ground. - Impedance \( Z_X \) is placed between the current source \( I_1 \) and \( M_1 \). - **Given Parameters:** - \( \lambda = \gamma = 0 \) **Figure (b):** - **Components:** - Identical to Figure (a). - **Circuit Layout:** - Same components as in Figure (a) with a configuration where \( Z_X \) is situated beyond \( M_1 \), differing in its positioning from Figure (a). - **Given Parameters:** - \( \lambda = \gamma = 0 \) **Objective:** - Calculate \( Z_X \) for each configuration by considering the unique placements and interactions of components. - Sketch the magnitude of the impedance \( |Z_X| \) with respect to frequency. **Analysis Approach:** 1. **DC Analysis:** - Examine the biasing conditions of the MOSFETs to ensure they operate in the saturation region, maintaining a high impedance state. 2. **AC Analysis:** - Derive expressions for \( Z_X \) utilizing small-signal models. - Integrate the impact of \( C_1 \) for frequency-dependent behavior. - Note the absence of other capacitances simplifies calculations.
Transcribed Image Text:**Title: Calculating Impedance \( Z_X \) in MOSFET Circuits** **Overview:** This lesson focuses on calculating the impedance, \( Z_X \), in two distinct MOSFET amplifier circuits. The simplified circuits neglect other capacitances to facilitate analysis, emphasizing the frequency response of \( |Z_X| \). **Circuit Descriptions:** **Figure (a):** - **Components:** - Two MOSFET transistors, labeled \( M_1 \) and \( M_2 \). - A DC voltage source \( V_{DD} \). - A resistor \( R_D \). - A capacitor \( C_1 \). - A current source \( I_1 \). - Impedance \( Z_X \). - **Circuit Layout:** - \( M_2 \) is connected to \( V_{DD} \) and \( R_D \). - \( M_1 \) is arranged below \( M_2 \) forming a cascode structure. - Capacitor \( C_1 \) connects \( M_1 \) to ground. - Impedance \( Z_X \) is placed between the current source \( I_1 \) and \( M_1 \). - **Given Parameters:** - \( \lambda = \gamma = 0 \) **Figure (b):** - **Components:** - Identical to Figure (a). - **Circuit Layout:** - Same components as in Figure (a) with a configuration where \( Z_X \) is situated beyond \( M_1 \), differing in its positioning from Figure (a). - **Given Parameters:** - \( \lambda = \gamma = 0 \) **Objective:** - Calculate \( Z_X \) for each configuration by considering the unique placements and interactions of components. - Sketch the magnitude of the impedance \( |Z_X| \) with respect to frequency. **Analysis Approach:** 1. **DC Analysis:** - Examine the biasing conditions of the MOSFETs to ensure they operate in the saturation region, maintaining a high impedance state. 2. **AC Analysis:** - Derive expressions for \( Z_X \) utilizing small-signal models. - Integrate the impact of \( C_1 \) for frequency-dependent behavior. - Note the absence of other capacitances simplifies calculations.
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