Name ID Instructor Class Time EE 201 201C Final Exam December 11 1996 General Instructions The exam is closed book closed notes no calculator Do not open the exam until you are told to begin Put your name student identification number and instructor name in the blanks above Fill in your name student identification number and section number in the appropriate places on the computer scan forms Time 7 30 am 8 30 am 11 30 am 2 30 pm Instructor Section Number Krogmeier EE201C 0001 Nyenhuis EE201 0002 Doerschuk EE201 0003 Krogmeier EE201C 0004 The exam consists of 14 multiple choice questions 10 points each and 4 workout problems 15 points each Please keep your computer scan sheets covered while you are working on the exam An official crib sheet will be handed out separately 1 Name Problem 1 Consider the circuit shown The switch has been closed for a long time before it is opened at time t 0 What is the current iC 0 into the capacitor at time t 0 in Amperes 1 1 4 0 5 7 7 2 2 5 2 10 3 0 6 0 5 t 0 iC 15 V 1F 20 Problem 2 Consider the circuit shown below The switch has been closed for a long time before it is opened at time t 0 What is the voltage vL 0 across the inductor just after the switch is opened in Volts 1 20 4 10 7 20 2 10 5 5 3 0 6 15 10 t 0 10 V 1H v L 2 10 Name Problem 3 Consider the sinusoidal steady state circuit shown below Choose R and C such that maximum average power is absorbed in the resistor RL Hint do not try to apply the maximum power transfer theorem here 1 R 0 C 0 01 F 4 R 10 C 0 01 F 7 R 0 C 0 05 F 2 R 5 C 0 01 F 5 R 10 C 1 01 F R 3 R 100 C 0 1 F 6 R 6 C 0 001 F C RL 10 100 cos 1000t V 4 10 H Problem 4 Consider the circuit shown below which appears in the equivalent circuit for a common collector transistor amplifier What is an expression for the Thevenin equivalent resistance seen between the two terminals shown 1 r 0 1 RE 4 r RE r RE 7 r 0 1 RE 2 r RE 0 1 5 0 r RE 3 r 6 RE 0 ib ib r RE 3 RT Name Problem 5 For the following circuit choose the correct set of nodal equations Answers b t i t va t v 0 R1 1 vb t va t vb t v t C dvb t 0 R1 R2 dt 2 vb t va t R1 3 4 5 vb t va t R1 vb t v t R2 vb t va t R1 va t vb t R1 vb t vc t R2 i t vb t vc t R2 va t vb t R1 0 b t C dvdt 0 v t 0 va t vb t R1 0 b t C dvdt 0 vc t vb t R2 v t 0 i t vb t v t R2 b t C dvdt 0 i t vb t v t R2 b t C dvdt 0 vb va 0 b t C dvdt 0 vc t vb t R2 vb t va t R1 0 b t C dvdt 0 i t n 7 vb t v t R2 i t n 6 va t vb t R1 i t vc R1 R2 C i t 4 v t Name Problem 6 Compute the Thevenin equivalent of the circuit drawn below at the a b terminals Answers 1 Voc 4V Rth 2 4 Voc 4V Rth 4 7 Voc 1V Rth 1 2 Voc 2V Rth 1 5 Voc 2V Rth 1 2 3 Voc 0V Rth 4 6 Voc 6V Rth 4 1 a 8V 2 2 b Problem 7 Compute the Thevenin equivalent of the circuit drawn below at the a b terminals Answers 1 Voc 4V Rth 2 4 Voc 4V Rth 4 7 Voc 1V Rth 1 2 Voc 2V Rth 1 5 Voc 2V Rth 1 Vx 3 Voc 0V Rth 4 6 Voc 6V Rth 4 a 2 2A 2 2Vx b 5 Name Problem 8 The steady state solution for the capacitor voltage is of the form vC t 3 cos t V Find in degrees 1 45 5 30 2 45 6 30 3 90 7 60 4 90 R C 5 cos t A vC t Problem 9 For the RLC circuit and current source waveform shown below find the capacitor current iC at t 0 in Amperes 1 2 5 5 3 4 7 3 5 2 2 6 3 5 4 4 50 i s t 1H iC 4A i s t 0A 0 50 t 6 1F 5V Name Problem 10 The capacitor voltage in the RLC circuit shown below is of the form vC t A Bt e t for t 0 Find the value of R in Ohms 1 1 5 5 2 2 6 6 3 3 7 7 1 4 10 A 4 4 R t 0 1 mF v C 16 mH Problem 11 Determine the effective rms value in V rms of the voltage waveform p 1 5 3 2 5 5 v t 5 1 cos t V 2 5 2 2 3 5 2 6 6 7 10 7 4 5 5 2 Name Problem 12 Compute Vo for the circuit drawn below Answers R 2 V0 Rfs Vs R Rf Ro Vs Rs 4 V0 1 V0 Rfs Vs 3 V0 R R Rf Ro Vs Rs R R f o 5 V0 Rf R Vs o Rs f o 6 V0 Rf R Vs o Rs RL 7 V0 RL R Vs f Rs Rf Rs Ro ideal Vs RL Vo Problem 13 Compute Va for the circuit drawn below Answers in Volts 1 1 5 3 2 2 6 2 3 3 7 1 3 4 0 4 2V 1V 3V 1 2 8 Va 2 Name Problem 14 Compute I for the circuit drawn below Answers in Amperes 1 1 5 3 2 2 6 2 3 3 7 1 4 0 14 I 2A 8 1A 3A 2 3 12 4 1 10 9 4A Name Workout Problems There are four workout problems contained in the following pages Each is worth 15 points In order to receive credit for these problems your work must be shown and your final answers must be in the boxes provided Workout Problem 1 15 points In the circuit shown below assume an ideal OP AMP Find the correct expression for the voltage v0 t for t 0 Assume that the capacitor voltage is zero at t 0 R1 R3 ideal t 0 C vo t 1 V R2 v0 t 10 Name Workout Problem 2 15 points The source in the circuit below is operating …
View Full Document
Unlocking...