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ECE – 211 Circuit Analysis I 6/19/2003
Name: Quiz 2 15 minutes _______________________
1. Find the equivalent resistance between points A and B.
D
C
D
C
B
A
R6=16
R5=10
R4=6
R3=6
R2=8
R1=8
⇒
R1=8
A
R4=6
R3=6
R2=8⇒ C
B
D
⇒ = + = + =RAB 8 8 6 6 4 3 7|| || Ω 2. Write nodal analysis equations for the following circuit.
V3
V1 V2
V V
VR
VR R R
VR R
VR R
VR R R
S1
11
21 2 4
32 4
22 4
32 3 4
1 1 1 1 1 1 0
1 1 1 1 1 0
=
−FHGIKJ + + +FHG
IKJ − +FHG
IKJ =
− +FHG
IKJ + + +FHG
IKJ =
Using rules: By inspection: @ :
@ :
@ :
V V V
V V VR
V VR
V VR
V V VR
V VR
VR
S1 1
21 2
1
2 3
2
2 3
4
32 3
2
2 3
4
3
3
=−
=−
+−
−+
−=
3. Write mesh analysis equations for the following circuit. Using rules: mesh By inspection:
mesh
I2
I3
I1
mesh V R I R IV R I R I I
mesh I I
S
S
S
1 02 03
1 2 1 1 1
1 4 2 3 2 3
3
:::
− − − =
− − − =
=b g
mesh R R I V
I R R I R Vmesh I I
S
S
S
1
23
1 2 1 1
2 4 3 3 3 1
3
:
::
+ = −
+ − =
=
b gb g
Illinois Institute of Technology