ELG 2138 Final: ELG2138B Homework3_solution 2018
29 Nov 2018
School
Department
Course
Professor
School of Electrical Engineering and Computer Science,
University of Ottawa
Circuit Theory I
ELG2138B Fall 2018
Problem Set #3 (total 4 problems: 5 pts each)
Due: 10/1/2018, 8:30am
No late homework is accepted.
P1. Determine the values of the power supplied by each of the sources in the circuit shown in Figure P1.
Figure P1
Solution: First, label the node voltages. Next, express the resistor currents in terms of the node voltages.
Identify the supernode corresponding to the 10 V source
Apply KCL to the supernode to get
The 15 V source supplies
The 10 V source supplies
( )
aaa a
aa
15 10 15 10
60 21 2.857 V
4683
vvv v
vv
-+-+
+=+Þ=Þ=
( )
( )
aa
15 10 15 15 12.857 15 2.857
15 15 15 2.56 38.4 W
46 4 6
vv
æö
-+---
æö
ç÷
+= + = =
ç÷
ç÷
èø
èø
( )
aa
15 15 2.857 2.857
10 10 10 1.071 10.71 W
63 6 3
vv-
æö
-
æö
+= + = =
ç÷
ç÷
èø
èø
Document Summary
Problem set #3 (total 4 problems: 5 pts each) Determine the values of the power supplied by each of the sources in the circuit shown in figure p1. Next, express the resistor currents in terms of the node voltages. Identify the supernode corresponding to the 10 v source. Express the resistor currents in terms of the node voltages: i. P 2 the voltages va, vb, and vc in figure p. 2 are the node voltages corresponding to nodes a, b, and c. the values of these voltages are: va = 8. 667 v, vb = 2 v, and vc = 10 v. Determine the value of a, the gain of the dependent source. P 3 determine the value of the current ix in the circuit of figure p 3. First, express the controlling current of the ccvs in terms of the node voltages: i = x v. Next, express the controlled voltage in terms of the node voltages:
