University of Calgary
Department of Electrical and Software Engineering
ENGG 225 - Fundamentals of Electrical Circuits and Machines
Fall, 2022
Problem Assignment #3
Solve using series-parallel resistor combinations, current division, and voltage division.
1. Determine the total equivalent resistance Req between the terminals a and b in the
circuit below, in Ohms.
a
Req
6Ω
38 Ω
b
2.5 Ω
15 Ω
37 Ω
30 Ω
60 Ω
10 Ω
53 Ω
69Ω
32 Ω
13.5 Ω
33 Ω
(Answer: 18.990 Ω)
8Ω
2. In the circuit shown at right, determine the current i1 , and express your
answer in milliAmperes.
i1
2A
(Answer: 0.3556 A)
48 Ω
48 Ω
60 Ω
2 KΩ
3. In the circuit shown at right, determine the voltage v1 . Express your
answer in Volts.
(Answer: 0.5647 V )
+
_
v1
4 KΩ
+
_
12 V
13 KΩ
12 KΩ
2 KΩ
40 Ω
ENGG 225 – Problem Assignment #3
Page 2 of 2
4. Suppose that the total equivalent resistance between the terminals a and b in the
circuit below is known to be Req = 42 Ω. Determine the unknown resistor value R in
the circuit, in Ohms.
20 Ω
a
12 Ω
30 Ω
32 Ω
Req
30 Ω
R
b
12 Ω
12 Ω
(Answer: 12 Ω)
5. In the circuit below, determine the current i1 , in Amperes.
30 Ω
54 Ω
27 Ω
30 Ω
5A
i1
25 Ω
2Ω
75 Ω
150 Ω
10 Ω
(Answer: 0.8696 A)
6. Calculate the resistance value for R1 , in Ohms, such that the design criteria indicated
in the circuit below are satisfied.
i1
i2
R1
R2
10 mA
+
_
2V
i3
i4
R3
R4
Design
Criteria
i3 = 2 i4
i2 = 1.5 i3
i1 = 2.5 i2
(Answer: 360 Ω)