6. Given a NMOS transistor with V₁=1.75V, kn = 25 mA/V² and 2-0 and the following circuit: a) For an operating point of Vo = 3.5V and Iñ= 10 mA, what are the range of values for Rs that will keep the transistor in the saturation region? b) For Rs 100 Q, determine RD, RG₁ and RG₂ to achieve Vo = 3.5V and ID= 10 mA, = VDD = +10 V RGI RG2 ||₁ |1₁ Rp Rs: Vo

Introductory Circuit Analysis (13th Edition)
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**Problem 6: NMOS Transistor Analysis**

Given an NMOS transistor with the following parameters:
- Threshold Voltage (\(V_t\)) = 1.75V
- Transconductance Parameter (\(k_n\)) = 25 mA/V\(^2\)
- Channel Length Modulation (\(\lambda\)) = 0

And consider the provided circuit diagram.

**Tasks:**

a) For an operating point with \(V_O = 3.5V\) and \(I_D = 10 \, mA\), determine the range of \(R_S\) values needed to keep the transistor in the saturation region.

b) Given \(R_S = 100 \, \Omega\), compute the resistances \(R_D\), \(R_{G1}\), and \(R_{G2}\) required to achieve \(V_O = 3.5V\) and \(I_D = 10 \, mA\).

**Circuit Explanation:**

- The circuit consists of an NMOS transistor, with a drain connected to \(R_D\) and a source connected via \(R_S\).
- The gate voltage is determined by the resistive divider \(R_{G1}\) and \(R_{G2}\).
- The supply voltage (\(V_{DD}\)) is +10V.

**Analysis Objective:**

1. Identify operating region constraints for transistor saturation.
2. Solve resistor values for desired voltage and current conditions.
Transcribed Image Text:**Problem 6: NMOS Transistor Analysis** Given an NMOS transistor with the following parameters: - Threshold Voltage (\(V_t\)) = 1.75V - Transconductance Parameter (\(k_n\)) = 25 mA/V\(^2\) - Channel Length Modulation (\(\lambda\)) = 0 And consider the provided circuit diagram. **Tasks:** a) For an operating point with \(V_O = 3.5V\) and \(I_D = 10 \, mA\), determine the range of \(R_S\) values needed to keep the transistor in the saturation region. b) Given \(R_S = 100 \, \Omega\), compute the resistances \(R_D\), \(R_{G1}\), and \(R_{G2}\) required to achieve \(V_O = 3.5V\) and \(I_D = 10 \, mA\). **Circuit Explanation:** - The circuit consists of an NMOS transistor, with a drain connected to \(R_D\) and a source connected via \(R_S\). - The gate voltage is determined by the resistive divider \(R_{G1}\) and \(R_{G2}\). - The supply voltage (\(V_{DD}\)) is +10V. **Analysis Objective:** 1. Identify operating region constraints for transistor saturation. 2. Solve resistor values for desired voltage and current conditions.
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