Midterm 2 Exam. Max: 90 Points
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1 Midterm 2 Exam Name: Max: 90 Points Question 1 Consider the circuit below. The duty cycle and frequency of the 555 astable is 55% and 5 khz respectively. (a) Determine a value for so that the average current through the IR diode is 30 ma. (5 points) (b) How much power will dissipate? (1 point) Part (a) The peak- and average currents, and the duty cycle in % are related as follows Assume that for the BJT,, then. Use the closest standard value of. Part (b). 1
2 Question 2 For the BJT in the amplifier below,, and. (a) Show that. (5 points). (b) Estimate the 3-dB bandwidth if. Ignore the BJT s parasitic capacitances. (9 points) (c) Estimate the overall midband voltage gain. (3) points. Part (a) For a dc analysis, we open the capacitors. KVL gives Solving yields and consequently Part (b) For the transistor Using BJT impedance scaling, we estimate the resistance looking into the emitter as The time constant associate with is Since is much smaller than and we can write 2
3 The 3-dB bandwidth is. Part (c) This is an emitter follower with voltage gain from base to emitter of slightly less than 1. The resistance looking into the base is, which is more than 500K. This is in parallel with the 100K resistor. Thus, the voltage division between the source (through ) and the resistance it sees is negligible, and the overall midband voltage gain is slightly less than 1. 3
4 Question 3 Consider the CE BJT amplifier below. (a) Draw a hybrid- small signal model of the amplifier. Be sure to include, and. (6 points) (b) Provide numerical values for and. (2 points) (c) Estimate the upper 3 db bandwidth. (12 points) (d) Determine the overall midband gain. (3 points) Part (a) Part (b) Part (c) The Miller effect transforms to a value where ( ), the gain working across. That is The Miller capacitance is in parallel with. A small signal model is 4
5 The time constant is ( ). The upper 3 db frequency is then Part (d) The overall midband voltage gain is 5
6 Question 4 For the common-emitter amplifier below, the transistor parameters are and. Ignore the BJT parasitic capacitances. (a) Show that 7.6 ma. (5 points) (b) Determine and (2 points) (c) Calculate the 3-dB frequency (6 points) (d) Determine the overall midband voltage gain. (3 points) (e) Sketch the Bode plot of the voltage gain magnitude. (6 points) Part (a) The Thevenin equivalent circuit for the base bias network consists of a V voltage source in series with a 1.3 K resistor. Then Solving yields so that. Part (b).part (c) ( ) [ ] 6
7 Further Part (d) The midband voltage gain from the base to the collector is A quick approximation, also acceptable here, is The source resistor forms a voltage divider with so that the overall midband voltage gain is Part (e) 7
8 Question 5 In the amplifier below, ignore the MOSFET s parasitic capacitances. (a) Show that. (6 points) (b) Determine. (2 points) (c) Determine the midband voltage gain of the circuit. (2 points) Part (a) The gate current is zero, so Further. Thus Solving using trial-and-error gives 2.55 V. The drain current is Part (b) Part (c) The small-signal model is given below where voltage gain is. From the model the 8
9 Question 6 In the amplifier below, assume for all the transistors. (a) Show that the collector current of is approximately (2 points) (b) Estimate the output resistance. (8 points) (c) Estimate the voltage gain. (2 points) (d) Find the quiescent, dc voltage at the output. (3 points) Hint: view the transistors as a composite transistor and use BJT impeadance scaling. Part (a) The collector current of is about. base current is. Part (b) We can view the three transistors as a single BJT with beta. For this composite transistor, and. Use BJT scaling to estimate Part (b) The arrangement is that of a voltage follower, so the gain is essentially 1. Part (c) The base current of is so the base voltage of is. The dc output voltage is then 9
10 Question 7 Consider the amplifier shown. Draw a small-signal model for the amplifier, carefully labeling each component of the model. Ignore the parasitic capacitances. If, what is for? (6 points) 10
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