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