1

Node-Voltage Analysis

Use KCL to write a iin = iout equation at each node (except the reference node)

2

Node-Voltage Analysis

3

Mesh-Current Analysis

Use KVL to write a vrises = vdrops equation for each mesh

mesh – a closed path that contains no other closed paths

4

Mesh-Current Analysis

5

Let’s Try This One

6

Let’s Try This One

7

Delta-Wye Transformations

R1

R2R3

321

32

RRR

RRRa

321

31

RRR

RRRb

321

21

RRR

RRRc

A

ACCBBA

R

RRRRRRR

1

B

ACCBBA

R

RRRRRRR

2

C

ACCBBA

R

RRRRRRR

3

8

Delta-Wye Transformations

9

Thevenin’s Theorem (Chap. 3)

VOC

ISC

SC

OCTH I

VR

?

VOCRTH+

_

Thevenin Equivalent

RTHISC

Norton Equivalent

Extra Tools for your Toolbox

Extra Tools for your ToolboxThevenin and Norton Equivalents (Chapter 3, Section 3.6)

10

When “looking into” two ports of a circuit, you cannot tell exactly what components make up that circuit.

Vth = Vopen ckt

Ishort ckt

cktshort

cktopenth I

VR

In = Ishort ckt

cktshort

cktopenn I

VR

Thevenin Equivalent Norton Equivalent

11

Thevenin Equivalent

12

Source Transformations

VOC ISC=

Extra Tools for your Toolbox

Extra Tools for your ToolboxSource Transformations (Chapter 3, Section 3.6.1.)

13

mA51000

5R

VI

series

ss

Rshunt = Rseries = 1 k

1 k5 mA

Rseries

Vs RshuntIs Rshunt

14

Source Transformations