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1. (30 points) Consider the following feedback amplifier, the transistors parameters are: h fe 50 , VA . 10V Using he feedback analysis method to find (a) the feedback topology v 40k 10V 2k RL 1k s and the feedback network Rs 10k parameters. (4 points) (b) the amplifier gain A, the input and output resistance Ri and Ro . Sketch the open-loop small signal circuit. (15 points) io 0.2mA 10V 1k 10k (c) the closed loop gain A f , the input /output resistance Rif and Rof (6 points) (d) the input /output resistance Rin and Rout that exclude Rs and RL . Sketch the overall equivalent circuit. (5 points) 1 vo 2. (30 points) Consider the following MOSFET feedback amplifier, the transistors parameters are: g m1 g m2 0.5mA / V , VA , ,Using the 16V 16V feedback method to find (a) the feedback topology and the feedback 2k 2k network parameters. (4 points) (b) the amplifier gain A, the input vs C1 Rs 0.1k and output resistance Ri and Ro . Sketch the open-loop small signal circuit. (15 points) 10k RL 1k 1mA (c) the closed loop gain A f , the input /output 100k 10k resistance Rif and Rof (6 points) (d) the input /output resistance Rin and Rout that exclude Rs and RL . Sketch the overall equivalent circuit. (5 points) 2 vo 2. 3. (10 points) Consider the following negative feedback amplifier. The bode diagram shows the open loop amplifier frequency response. (a) Find the closed loop gain A f (2 (b) Find the closed loop frequency points) vo vi A response Lf and Hf . (4 points) (c) Why we need to construct a feedback amplifier? (4 points) 3 L H 10V 4. (22 points) Consider the differential amplifier shown in the following figure. The transistor kn' W parameters are : 0.1mA / V 2 . (for Q1 to Q4) 2L 10V Q3 Q4 vo k n' W 0.4mA / V 2 . (for Q5 and Q6), ,and for all 2L v1 transistors VA 100 , Vt 1V . Q1 v2 Q2 10V a. Determine the resistance R=? if the biasing R current of Q1 and Q2 are I Q 2mA .(3 points) b. Determine the maximum voltage of the common-mode input voltage. (3 points) c. Determine the minimum voltage of the common-mode input voltage. (3 points) Q5 Q6 10V d. Find the differential gain Ad .(5 points) e. Find the input and output resistance of the differential mode. (3 points) f. Find the common mode gain Aicm .(5 points) 4 5 5. (18 points) Give a logic reason to explain why the following statements are false or true. (i) The right side figure present a Series-Shunt feedback amplifier, the feedback network has to represent in hybrid h-parameters. (ii) The input offset current of the MOSFET differential pair contributes by mismatching the load resistances, mismatching in W/L, and mismatching in the threshold voltage Vt. (iii) It is not necessary to use the input coupling capacitor in the BJT’s differential amplifier, since the differential pair input can reject the differential mode input. (iv) The right side figure present a Series-Shunt feedback amplifier, the feedback network has to represent in inverse hybrid g-parameters. (v) The sensitivity and bandwidth reduction is one of the most attractive features of negative feedback. (vi) A emitter resistance RE for a BJT’s differential pair can reduce the linear operation range but increase the differential gain Aid . (vii) For a MOSFET differential amplifier, a too small common mode input voltage vicm will drive the differential pair transistors working in the ohm’s mode. (viii)For a BJT differential amplifier, the common mode input voltage can not be too high; this voltage may result in the current mirror source shutdown. (ix)In the case of the input noise are much bigger than input signal, we can use a feedback voltage amplifier to reduce the noise effect. 6 7