{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ece159s_2007_exam

# ece159s_2007_exam - UNIVERSITY OF TORONTO FACULTY OF...

This preview shows pages 1–8. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: UNIVERSITY OF TORONTO FACULTY OF APPLIED SCIENCE AND ENGINEERING FINAL EXAMINATION, April 2007 First Year — Engineering Science ECE159HIS —- Electric Circuit Fundamentals Exam Type: A Examiners - D. Lavers and B. Wang STUDENT NO: Instructions: Answer all 5 questions Non-programmable calculators allowed Use the back of the previous page for rough work Do not unstaple this exam booklet Name: Student Number: Question 1 [10 points] 12v V1 V0 a) Develop the equations (ﬁnal form) for the two nodal potentials identiﬁed in the ﬁgure (2 marks). b) Detemtine the output potential V0. Express your answer as an integer or fraction, as appropriate (4 marks). 0) Detennine how much power is supplied or absorbed by each source, and state whether it is SUPPLIED or ABSORBED (4 marks). Page 2 of 8 Name: Student Number: Question 2 [10 marks] 12V 2k!) a) Find the Thevenin equivalent voltage (Vm) to the left of the nodes A-B (3 marks). b) Calculate the Thevenin equivalent resistance (Rm), to the left of the nodes A-B (4 marks). c) Calculate the voltage on the load resistor (V0) (1 mark). (1) Draw the Norton equivalent circuit and specify the values of IN and RN to the left of nodes A-B (2 marks). Page 3 of 8 Name: Student Number: Question 3 [10 marks] At time t = 0, the switch shown in the ﬁgure is opened. Solve for iL(0“), vc(0"), TL, 10 , iL(t), and vc(t) for t > 0. 29 IQ t H O Page 4 of 8 Name: Student Number: Question 4 [10 marks] The source voltage vs(t) has an rms amplitude of 12 V, a frequency of 3 l 83 Hz and a phase angle of 0°. a) Determine the output voltage vo(t), amplitude and phase (6 marks). b) Determine the complex power supplied/absorbed by the dependent source (4 marks). Page 5 of 8 Name: Student Number: Question 53 [3 marks] Vs“) (V) 12345t(ms) Determine the time average power supplied by the voltage source vs(t). Page 6 of 8 R H 4Q Name: Student Number: Question 5b [3 marks] Determine the s-domain voltage transfer function Vl(s)Ns(s) for the circuit shown in the ﬁgure. R L Ill vs(t) 3 R2 Page 7 of 8 Name: Student Number: Question 5c [4 points} Consider the series RLC circuit shown in the ﬁgure. The sinusoidal source voltage has an amplitude of 2 V peak, but frequency a) can be varied: vs(t) = 2 cos(cot) “0 C L The capacitor has a known value of 20 uF. As the frequency (0 is varied, it is found that the greatest current V (t) R amplitude is obtained at a) = 1000 rad/s. At this frequency, the current amplitude is found to be 20 A peak. Determine the R, L, and NJ. Page 8 of 8 ...
View Full Document

• Winter '08
• B.wang
• student number, Electrical network, Thévenin's theorem, Voltage source, Norton's theorem, Engineering Science

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern