1. C H A P T E R 3
Resistive Network Analysis

2. Figure 3.2 Use of KCL in nodal analysis1 R v a b 3 c d 2
By KCL : –
= 0. In the node
voltage method, we express KCL by
= 0

3. Figure 3.3 Illustration of nodal analysis1 v a b 3 c
= 0 2 R S
Node

4. Figure 3.5 I 2 1 R 4 3
Node 1
Node 2

5. Figure 3.8 Nodal analysis with voltage sources2 1 v S 4 a c i 3 + _ b

6. Figure 3.12 A two-mesh circuit4 v S 1 2 + _ i

7. Figure 3.13 Assignment of currents and voltages around mesh 14 v S 1 2 + _ i –
Mesh 1: KVL requires that
= 0, where = ,
= ( ) .

8. Figure 3.14 Assignment of currents and voltages around mesh 32 + _ i –
Mesh 2: KVL requires that
= 0
where
= ( ) , =

9. Figure 3.18 Mesh analysis with current sources2 4
10 V 5
2 A i 1 v x + _ –

10. Figure 3.26 The principle of superpositionv B 2 + _ 1 i =
The net current through
is the sum of the in-
dividual source currents: .

11. Figure 3.27 Zeroing voltage and current sources1 + _ v
A circuit 2
The same circuit with
= 0
1. In order to set a voltage source equal to zero, we replace it with a short circuit.
2. In order to set a current source equal to zero, we replace it with an open circuit.

12. Figure 3.28 One-port network
Linear
network i v + –

13. Figure 3.29 Illustration of equivalent-circuit concept+ _ v S 2 i – 1
Load
Source

14. Figure 3.31 Illustration of Thevenin theorum+ +
Source v
Load + v v
Load T _ – –

15. Figure 3.32 Illustration of Norton theorumv + – R N i
Source
Load

16. Figure 3.34 Equivalent resistance seen by the load2 a b 3 1 || T

17. What is the total resistance the
Figure 3.35 An alternative method of determining the Thevenin resistance R 2 a b 3 1 v x + – i S T = ||
What is the total resistance the
current
will encounter in flowing
around the circuit?

18. Figure 3.46 R 2 1 + _ v S L 3 i

19. Figure 3.47 R 1 + _ v S 3 2 O C –

20. Figure 3.48 R 1 + _ v S 3 2 O C – V i

21. Figure 3.49 A circuit and its Thevenin equivalent2 1 + _ v S L 3 i ||
A circuit
Its Th é
venin equivalent

22. Figure 3.57 Illustration of Norton equivalent circuitSC N R T =
One-port
network

23. Figure 3.58 Computation of Norton current2 1 + _ v S 3 i C
Short circuit
replacing the load

24. Figure 3.63 Equivalence of Thevenin and Norton representations
One-port
network i N + _ Th é
venin equivalent
Norton equivalent

25. Figure 3.64 Effect of source transformation2 1 v S 3 i SC + _

26. Figure 3.65 Subcircuits amenable to source transformation+ _
The é
venin subcircuits R v or
Node a
Node b a b
Norton subcircuits

27. Figure 3.71 Measurement of open-circuit voltage and short-circuit currentb r m A V + –
Unknown
network
Load
An unknown network connected to a load
Network connected for measurement of short-
circuit current
Network connected for measurement of open-
circuit voltage “ i SC ” v O C

28. Figure 3.73 Power transfer between source and loadv T R L + _ i
Source equivalent
Practical source
Load
Given
and
, what value of
will allow for maximum power
transfer?

29. Figure 3.74 Source loading effectsv T i n t + _ R L – N
Source
Load

30. Figeure 3.77 Representation of nonlinear element in a linear circuit+ _ i x v –
Nonlinear
element
Nonlinear element as a load. We wish
to solve for
and .

31. Figure 3.78 Load line i X v x 1 R T
Load-line equation: = – +

32. Figure 3.79 Graphical solution equations 3.48 and 3.49x v = I o e ,
> 0
i-v
curve of “
exponential resistor ”
Solution 1 R T
Load-line equation: +

33. Figure 3.80 Transformation of nonlinear circuit of Thevenin equivalentx v + –
Linear
network
load R
Nonlinear T _