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ECE 2300 – CIRCUIT ANALYSIS
HOMEWORK #6
1. For the circuit shown, calculate the Thévenin equivalent resistance with respect to terminals a
and b.
vS2=
iX
R3 =
30[]
a
+
R1 =
10[]
iX
R2 =
20[]
iS1=
5iX
+
-
-
R4 =
40[]
vS1=
100[V]
b
PEQWS Module 4 Problem 1
2. For the circuit shown, find the Thévenin equivalent circuit with respect to terminals a and b.
Draw the Thévenin equivalent circuit. On the drawing, clearly show the terminals a and b, the
value of the circuit elements, and the reference voltage for the Thévenin voltage source.
iS1=
10iX
+
-
vS1=
100[V]
R1 =
10[]
R3 =
40[]
a
R5 =
100[]
R4 =
50[]
iX
b
PEQWS Module 4 Problem 2
R2 =
20[]
iS2=
10[A]
3.
a) Find the Norton equivalent as seen by the 22[k] resistor.
b) Attach the Norton equivalent that you found, to the 22[k] resistor. Use this circuit
to solve for iQ.
iX
R1=
10[k]
iS1=
10iX
+
vS1=
100[V]
-
R3=
22[k]
R2=
33[k]
R4=
18[k]
iS2=
12[mA]
iQ
PEQWS Module 4 Problem 3
4. The device in Figure 1 can be modeled with a voltage source in series with a resistance. The
current and voltage for the device are related as shown in the plot in Figure 2. The device has
been connected in a circuit shown in Figure 3. Find iX. PEQWS Module 4 Problem 4
A
iT in [mA]
+
5
vT
Device
-2
2
0
vT in [V]
iT
-
-5
B
Figure 1
Figure 2
iX
A
R1=
1[k]
Device
+
-
B
vS1=
7[V]
R2=
1.8[k]
Figure 3
6.2
iS1=
8[mA]
5. For the circuit shown, find the Thévenin equivalent circuit as seen with respect to terminals a
and b.
Draw the equivalent circuit that you found.
On this equivalent circuit you have drawn, show the values for the circuit components, and label
terminals a and b.
R1 = 10[]
R2 = 20[]
a
iS =
10[A]
iX
R3 =
+
40[]
vS1=
100[V]
R4 =
50[]
vS2=
+
200[]iX -
-
b
6. a) Find the Norton equivalent as seen by the 1[k] resistor.
b) Find vQ for the circuit shown in Figure 1.
3.3[k]
4.7[k]
1.5[mS]vQ
-
+
1[k]
12[V]
vQ
5[mA]
+
Figure 1
6.3
680[]
7. In the circuit below, the resistor R3 models a light bulb.
a) Use superposition to find iX.
b) Find the Norton equivalent as seen by the independent current source, iS2.
c) Find the power delivered by the independent current source, iS2, in the circuit below.
R3 = 15[k]
iS1 = 6iX
R1 = 10[k]
vS1 =
5[V]
+
iX
+
-
R2 =
220[]
-
vS2 =
12[V]
iS2 =
10[mA]
8. Use the circuit shown below to solve this problem.
a) Find the Norton equivalent as seen by the iS2 current source.
b) Find the power delivered by the iS2 current source to this circuit.
iS2 =
5[mA]
iS1 =
2[mS]vX
vS2 =
10[k]iX
vS1 =
10[V]
+
R1 =
1[k]
R2 =
12[k]
iX
R4 =
3.3[k]
R3 = 4.7[k]
+
vX
6.4
-
+
-
iS3 =
22[mA]
9. Use the circuit shown to solve this problem.
a) Use superposition to find the voltage vX.
b) Find the Thévenin equivalent as seen by the 5[mA] current source.
c) Find the power delivered by the 5[mA] current source.
13[V]
4.7[k]
+
2.7[k]
1.5[k]
+
+
2.0[k]
6vX
vX
5[mA]
1.0[k]
8[mA]
5.6[k]
10.
The circuit below has an independent current source with a value of iS2.
a) Find the Thévenin equivalent of this circuit as seen by the independent current source.
b) Find the power absorbed by the independent current source in this circuit, as a function of
iS2.
1.7[k]
+
-
vX
4.7[k]
iS1 =
5iX
iX
6.8[k]
-
iL
+
vS =
7.3[V]
2.2[k]
iS2
1[k]
6.5
iS3 =
7[mS]vX
11.
A man goes to visit a prisoner at a jail. When he arrives at the jail, one of the
jailers asks him whom he is there to visit. The man replies,
“Brothers and sisters I have none,
This man’s father is my father’s son.”
Who is the man coming to visit?
6.6
Selected Numerical Solutions:
1-4. Solutions omitted here.
5. vTH = -2000[V] (sign depends on polarity of source with respect to terminals), RTH = -200[]
6. vQ = -8.53[V]
7. pDEL.BY.ICS = 8[mW]
8. pDEL.BY.iS2 = -302.5[mW]
9. pDEL.BY.5[mA]CS = -16.7[mW]
10. pABS .BY .iS 2  7.3[V]iS 2  160[]iS 2 2 .
11. Solution omitted.
6.7