Faculty of Engineering
Faculty of Engineering
ELECTRICAL AND ELECTRONIC ENGINEERING DEPARTMENT
EENG223 Circuit Theory I
INFE221 – Electrical Circuits
Midterm Exam
Spring 2009-10
20 April 2010
Duration: 90 minutes
Instructor: O. Kukrer
Solve all 5 Problems
|STUDENT’S | |
|NUMBER | |
|NAME | |
|SURNAME | |
|GROUP NO. | |
| Problem | |Points |
|1 | |20 |
|2 | |20 |
|3 | |20 |
|4 | |20 |
|5 | |20 |
|TOTAL | |100 |
1. In the circuit of Figure 1, find the current io using nodal analysis.
KCL eqn. for node 1: [pic]
[pic]
KCL eqn. for node 2: [pic]
Solving (1) and (2) [pic]
2. In the circuit of Figure 2,
(a) Find the voltage Vx using mesh analysis. (15 pts)
(b) Find the power supplied by the 4-A current source. (10 pts)
(a)
KVL eqn. for the supermesh: [pic]
[pic] (1)
KCL at node C : [pic]
[pic]
(b) Voltage across the 4-A current source [pic]
3. Use superposition to find the current i0 in the circuit in Figure 3.
1. Apply the 2A-source, turn off the 24V-source:
Nodal analysis:
KCL eqn. for node 1: [pic]
KCL eqn. for node 2: [pic]
[pic]
[pic]
2. Apply the 24V -source, turn off the 2A -source:
KCL eqn. for node 2: [pic]
[pic]
[pic]
4. Use source transformation to find the voltage v0 in the circuit in Figure 4.
Transform the dependent voltage source (6v0) in series with the 6Ω resistance to a current source:
Transform the dependent current source (v0) in parallel with the 2Ω resistance (equivalent of [pic]) to a voltage source:
KVL for the loop : [pic]
5. Obtain the Thevenin equivalent of the circuit in Figure 5 with respect to the terminals a-b.
Since the current [pic]is zero (terminals a-b are open)
[pic]
To find RTh, turn off the 10A-source, then apply a test source between a-b:
[pic]
Thevenin equivalent circuit:
-----------------------
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
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