ECE 3110: Engineering Electronics II Fall Final Exam. Dec. 16, 8:00-10:00am. Name: (78 points total)
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1 Final Exam Dec. 16, 8:00-10:00am Name: (78 points total) Problem 1: Consider the emitter follower in Fig. 7, which is being used as an output stage. For Q 1, assume β = and initally assume that V BE = 0.7 V. [14 points] (a) For A = 3, plot v out and I E in the space provided in Fig. 2. [4] (b) What is the efficiency of this output stage? [3] (c) Assuming I S = A, calculate the exact values of V BE at the minimum and maximum values of V out. [4] (d) What output stage performance characteristic is affected by the change in V BE? [1] (e) What is the maximum allowable value of A to maintain class A operation? [2] Figure 1: Emitter follower. 1
2 Problem 1 (cont d) Figure 2: Plots for emitter follower. 2
3 Problem 2: Consider the inverter shown in Fig. 3, where V DD = 5 V. For both W transistors, µc ox = 200 L 10 6 A/V 2, V A =, and V tn = V tp = 1 V. [10 points] (a) What are the high and low output levels (V OH and V OL ) for this inverter? (hint: when V in = V DD, the pmos is in the saturation region and the nmos is in the triode region) [6] (b) What is the static power consumption of this inverter, assuming it is driven by a 50% duty-cycle square wave with levels of 0 and V DD? [4] Figure 3: Inverter. 3
4 Problem 3: Consider the common source amplifier shown in Fig. 4. Assume the transistor has been biased in the saturation region (biasing circuitry not shown) W with I D = 1 ma. Additionally, µ n C ox = 617 L 10 6 A/V 2, V A =, and C gs = 1 pf (you may ignore all other parasitic capacitors). [16 points] (a) What is the low frequency gain (V out /V in ) for this amplifier? [4] (b) Find the frequency dependant transfer function (V out (s)/v in (s)) for the amplifier. [6] (c) Draw the bode plot for the amplifier in the space provided in Fig. 5. [6] Figure 4: Common source amplifier. 4
5 Problem 3 (cont d) Figure 5: Bode plot. 5
6 Problem 4: Consider the feedback configuration depicted in Fig. 6. [8 points] (a) What is the closed-loop gain of this feedback configuration? [5] (b) What is the pole location of the closed-loop system when A 1 = 10, A 2 = 10 1+s/ω p, β 1 = 1, and β 2 = 1? [3] Figure 6: Signal flow diagram. 6
7 Problem 5: Borat has asked us to design a verrr nice laptop computer for him, and we need a gate to implement the logic function Y = ((A + (B C)) D). [16 points] (a) Provide a CMOS implementation for this logic gate. [6] (b) Assuming that the nmos devices have twice the mobility of the pmos devices, size the transistors for equal worst-case drive strengths in the pull-up and pull-down networks. [6] (c) If the maximum propagation delay in the logic of our system is 0.5 ns, what is the highest clock speed that we can design for? [1] (d) The complete system has 2 million gates, each driving an average load capacitance of 5 ff, and the probability of each gate switching on a given clock cycle is 0.5. For a total power consumption of 15 mw, what clock speed should we choose for the system? [3] 7
8 Problem 6: A bistable multivibrator is shown in Fig. 7, where the opamp has power supplies of ±5 V and the diode is ideal with a turn-on voltage of 1 V (the diode becomes a short circuit with a 1 V drop when it is forward biased by 1 V). [12 points] (a) Draw the voltage transfer characteristics for this circuit on the plot provided in Fig. 8. You may neglect the current in the 1 MΩ resistor when the diode is on, its only purpose is to pull V + to ground when the diode is off. [10] (b) If the V in source is removed and a low-pass R-C circuit is used to connect V out to V in, will this circuit oscillate? Why or why not? [2] Figure 7: Bistable multivibrator. 8
9 Figure 8: Plot for VTC of bistable multivibrator. 9
10 Problem 7: How will Prof. Charles spend his time during the upcoming holiday break? [2 points] (a) Writing research grants, so that he can get tenure in (b) Skiing, since he doesn t stand a chance of getting tenure in any case. (c) Reminiscing about the good times in ECE (d) Building a giant snow man on the roof of MEB. (e) Other: 10
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