Student Name or ID Number
FACULTY OF ENGINEERING
ENGG 325 - Electric Circuits and Systems
Midterm Examination
Spring Session 2004
Instructions:
• Time allowed is 90 minutes.
• The examination is closed-book.
• Non-programmable calculators are permitted.
• The maximum number of marks is 40, as indicated; the midterm examination counts
20% toward the final grade.
• Please use a pen or heavy pencil to ensure legibility.
• Please answer questions in the spaces provided; if space is insufficient, please use
the back of the pages.
• Please show your work; marks will be awarded for proper and well-reasoned expla-
nations.
ENGG 325 Midterm Examination (Spring 2004) 2
Name: , ID:
1. Specify the resistor values R1 , R2 , R3 in the circuit of Fig. Q1 to meet the following
design criteria:
• vg = 4 V;
• i1 = 2i2 ;
• i2 = 9i3 .
[6 marks.]
+ i1 i2 i3
5.6 mA vg R1 R2 R3
Fig. Q1. Determine R1 , R2 , R3
ENGG 325 Midterm Examination (Spring 2004) 3
2. Using the principle of superposition, determine the voltage vx in the circuit given in
Fig. Q2. [12 marks.]
40 Ω
7.5 A
30 Ω 20 Ω
+
180 V 60 Ω vx 80 Ω 25 Ω
−
_
Fig. Q2. Find vx by superposition
ENGG 325 Midterm Examination (Spring 2004) 4
(Question 2, additional workspace ...)
ENGG 325 Midterm Examination (Spring 2004) 5
3. Consider the circuit shown in Fig. Q3, in which we are to determine the power in the
10Ω resistor.
(a) Which method of circuit analysis would yield the fewest number of equations
to solve? Briefly explain. [2 marks.]
(b) Using the method you chose in part (a), determine the power in the 10Ω resistor.
[8 marks.]
[10 marks total.]
25 Ω 15 Ω
10 Ω
19.6 A
35 Ω 55 Ω
Fig. Q3. Find the power in the 10Ω resistor
ENGG 325 Midterm Examination (Spring 2004) 6
4. Consider the circuit in Fig. Q4. Determine the Thev́enin equivalent circuit at the
terminals a and b. [12 marks.]
3Ω 6Ω
a
+ +
+ vx vab
50 V 6Ω 0.5vx 10 Ω
−
− −
Fig. Q4. Determine the Thévinin equivalent circuit
ENGG 325 Midterm Examination (Spring 2004) 7
(Question 4, additional workspace ...)