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Problem 4 – MOSFET Amplifier [1 page] Consider the following small signal MOSFET amplifier circuit. Vs RL O'o V = 1.2V K = 1.1 mA/V VIN – The input voltage is given as VIN = Ves = X + v;(t) = 5V + vị(t) and output voltage is given as vo = Y + Av,(t) = 8+ Av (t). Here, v;(t) is a sinusoidal voltage with amplitude a, X is the input DC voltage, Y is the output DC voltage. The input and output waveforms are given below. Notice the output small signal is inverted compared to input small signal. Hence, the small signal gain, A, will be negative. 10V- Vo 8V 6V 5.5V~ VIN 5V- 4.5V At a. From the above graph, what is the amplitude of the input small signal v;(t)? b. From the above graph, what is the amplitude of the output small signal? c. Hence, what is the small signal gain A? (Note: A should be negative) d. From the above graph, what is the value of input DC voltage X and the output DC voltage Y? www

Problem 4 – MOSFET Amplifier [1 page] Consider the following small signal MOSFET amplifier circuit. Vs RL O'o V = 1.2V K = 1.1 mA/V VIN – The input voltage is given as VIN = Ves = X + v;(t) = 5V + vị(t) and output voltage is given as vo = Y + Av,(t) = 8+ Av (t). Here, v;(t) is a sinusoidal voltage with amplitude a, X is the input DC voltage, Y is the output DC voltage. The input and output waveforms are given below. Notice the output small signal is inverted compared to input small signal. Hence, the small signal gain, A, will be negative. 10V- Vo 8V 6V 5.5V~ VIN 5V- 4.5V At a. From the above graph, what is the amplitude of the input small signal v;(t)? b. From the above graph, what is the amplitude of the output small signal? c. Hence, what is the small signal gain A? (Note: A should be negative) d. From the above graph, what is the value of input DC voltage X and the output DC voltage Y? www

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Problem 4 – MOSFET Amplifier [~1 page] Consider the following small signal MOSFET amplifier circuit. Vs RL VIN V = 1.2V K = 1.1 mA/V The input voltage is given as VIN = Vcs = X + v;(t) = 5V + v;(t) and output voltage is given as vo = Y + Av;(t) = 8+ Av:(t). Here, v:(t) is a sinusoidal voltage with amplitude a, X is the input DC voltage, Y is the output DC voltage. The input and output waveforms are given below. Notice the output small signal is inverted compared to input small signal. Hence, the small signal gain, A, will be negative. 10V Vo 8 V 6 V 5.5V- VIN 5V- 4.5V- a. From the above graph, what is the amplitude of the input small signal v;(t)? b. From the above graph, what is the amplitude of the output small signal? c. Hence, what is the small signal gain A? (Note: A should be negative) d. From the above graph, what is the value of input DC voltage X and the output DC voltage Y? e. Design the circuit, i.e., find the value of Vs and R. to achieve given input-output voltage relation and the given small signal amplification. [Hint: See Week 8, Lecture 2 - Part 6 and Pop Quiz 2. Work backward from A and Y to find R, and Vs]
Transcribed Image Text:Problem 4 – MOSFET Amplifier [~1 page] Consider the following small signal MOSFET amplifier circuit. Vs RL VIN V = 1.2V K = 1.1 mA/V The input voltage is given as VIN = Vcs = X + v;(t) = 5V + v;(t) and output voltage is given as vo = Y + Av;(t) = 8+ Av:(t). Here, v:(t) is a sinusoidal voltage with amplitude a, X is the input DC voltage, Y is the output DC voltage. The input and output waveforms are given below. Notice the output small signal is inverted compared to input small signal. Hence, the small signal gain, A, will be negative. 10V Vo 8 V 6 V 5.5V- VIN 5V- 4.5V- a. From the above graph, what is the amplitude of the input small signal v;(t)? b. From the above graph, what is the amplitude of the output small signal? c. Hence, what is the small signal gain A? (Note: A should be negative) d. From the above graph, what is the value of input DC voltage X and the output DC voltage Y? e. Design the circuit, i.e., find the value of Vs and R. to achieve given input-output voltage relation and the given small signal amplification. [Hint: See Week 8, Lecture 2 - Part 6 and Pop Quiz 2. Work backward from A and Y to find R, and Vs]
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