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06-85-214Circuit AnalysisFinal Exam

Please read these instructions carefully:o Answer all questions.o You need to show your student ID and sign the attendance sheet during the exam.o Closed book, closed note exam, no crib sheet is allowed in the exam.o Only the Faculty of Engineering approved calculators may be used during the exam.o Turn off your cellular phones and you are not allowed to use them during the exam.o If you leave the exam room unaccompanied, you are not allowed to return back into theexam room.o Read all questions once, and clarify any questions you may have first. No questions willbe answered after 30 minutes into the exam time.o Good luck to all of you.

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Dept. of Electrical & ComP' Eng' --Co'utr., 85-214- Circuit Analysis II

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Ouestion #2:(a) Write the looP equations

Q.2a.(b) Determine the rms value

Q.2b.

for the circuit shown in Fig'

for the waveform shown in Fig'

UniversitY of WindsorDate: Dec' 12th,2009Time allowed: 3 Hours

Zt =12- i15 OZr=4+j6AZt=2{>

Fig. Q.1

#ffied 3-phase circuit of Fig. el, assumins rms values,' " i;t ei"a tn. line cunents at the load side'(b) Find the line voltages at the generator side and at the load side'(c) Calculate ttre total Jomplex power delivered to the loads?.r ls* A

nt JLT,g -L;

r (r) Fig. Q.2a

IQuestion #3:'Flid-ih. current ioandthe average power"onru*.d in the 10 fl resistor in the circuit ofFie. Q.3.[H-int: cos(trlt-90o): sin rot]

-/*Mt/ r--,iL5jCIMrl0tFig. Q.2b

20C} *soP'tr20 sinl000t A

Fig. Q.3

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The load impedance Ztinthe circuit ofFig. Q.a is adjusted until maximumaverage power is transferredto Zv.(a) SpecifY the value of Zr tf l\h :' 15000 turns and Nz : 5000 turns'(b) SpecifY the value of Ir and Vrwhen Zr- is absorbing maximumaverage power.

Ouestion #5:In the circuit shown in Fig' Q.5, the switch closes at I

Fig. Q.a

= 0. Use Laplace tiansform to find vo(r) for / > 0'

Fig. Q.s

Ouestion #6:Consider the circuit shown in Fig. Q.6. given thatf : 60 Hz, Vi:20 Y , V*= 22'4 V' and Vr: 36 V' draw thephasor diagram of the voltages and find R and I'Note: You may use the law of cosines:i2 - ez +f

*Zahcns(1)+ Vi rl+lI iali>*ntut O@ ff il" $*L-."{rc{, R ie*

Fig. Q.6

vrv*

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