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ECE 2201 – CIRCUIT ANALYSIS
HOMEWORK #3
For each circuit there is a set of equations. Mark
each equation as true or false.
1
+
v1
-
R1
+
v2
vSA
Figure 0.1
______ a) vSA = v1
______ b) vSA = v2
______ c) vSA = v1 + v3
+
R3
R2
v3
-
-
Figure 0.1
Figure 0.2
______ d) vSA = v1
______ e) v1 = v2
______ f) vSA = vCSB
______ g) v1 = -v2
+
+
vCSB
iSB
R1
vSA
v1
-
-
+
R2
v2
-
Figure 0.2
iVSA
vSA
R1
i1
i4
i2
R4
R2
R3
i3
Figure 0.3
.
Figure 0.3
______ h) iVSA = i1
______ i) i3 = i4
______ j) i2 = - i3
______ k) i2 + i3 = iVSA
2
iC
One of the equations below contains a mistake. Write the correct
form of the equation and explain why the original equation is
incorrect. For this circuit, vA = - 3.5 [V].
+
+
vB
RB
a) vC – vA – vB = 0
vC
vA
RC
b) iCRC – (-3.5)[V] – iCRB = 0
-
.
3
+
R5
iS1
R1
vX
-
R4
R3
R2
vS2
vS1
R6
Write two KVLs that include vx. Write your KVLs in terms of voltages across resistors and
voltage sources. To do this you will need to provide labels for voltages across resistors. Be sure
these are clear, and that they follow the notation rules given in the first homework assignment.
.
4
R4
vS1
R5
R1
vS3
R3
iS1
R2
For the circuit above:
a) Label voltages for each resistor.
b) Write three KVL equations using the voltages you defined.
c) Label currents through each of the resistors.
d) Rewrite your KVL equations, but this time for voltage across resistors use the product of
current and resistance. Be sure to use the appropriate sign in each case.
.
5
R4
vS3
vS1
R1
R5
R3
R2
iS1
For the circuit above:
a) Label currents in each of the resistors.
b) Write two KCL equations at any two essential nodes using the currents you defined.
6
Find the value of iS. R1 = 2.5[Ω].
ix = 1[A]
R1
iS
vx = 5[V]
.
7
10[Ω]
+
vR
Given: ix = 0.25[A], find:
a. vX
b. vR
c. iS
iS
10[Ω]
+
vS1=15[V]
vX
iX
25[Ω]
-
.
8
10[Ω]
5[Ω]
+
5[Ω]
+
vR
-
+
+
vZ1
vZ2
-
-
iX
vX
vS1=-20[V]
-
i5
vS2=5[V]
5[Ω]
10[Ω]
Given: i5 = - 1.5[A], find:
a. vX
b. vR
c. iX
d. vZ1
e. vZ2
9
+
viS1
-
vs1=120[V]
A
B
For this circuit…
iS1=0.15[A]
1[kΩ]
2.2[kΩ]
iX
500[Ω]
iY
C
D
a. Write a KCL at A.
b. Write a KVL around A•B•C•D
c. Use your KCL and KVL to find
ix, iy
d. Find viS1.
e. Find the power delivered to iS1.
.
.
10
vS1=-2.5(vX)
Given: iZ = 1.1667[A], find:
a. vX
b. iY
c. The power absorbed by vS1.
+
-
100[Ω]
+
iY
250[Ω]
vX
50[Ω]
vS2=-200[V]
iZ
Write 1 KCL and 2 KVLs to find i1, i2, i3.
11
105 [Ω ]
75 [Ω ]
250 [Ω ]
i2
i1
45 [Ω ]
vS2 = 40[V]
vS1 = 72[V]
i3