Download 2201_Homework_08

ECE 2201 – CIRCUIT ANALYSIS I
HOMEWORK #8
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]
+
-
vS1=
100[V]
iS1=
10iX
R2=
33[k]
iQ
PEQWS Module 4 Problem 3
8.2
R3=
22[k]
R4=
18[k]
iS2=
12[mA]
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
8.3
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[]
R3 =
+
40[]
vS1=
100[V]
R2 = 20[]
a
iS =
10[A]
iX
R4 =
50[]
-
b
8.4
vS2=
+
200[]iX -
Selected Numerical Solutions:
1-4. Solutions omitted here.
5. vTH = -2000[V] (sign depends on polarity of source with respect to terminals), RTH = -200[]
8.5