ELECTRO TECH NIQUES 943
UNDERSTANDING SIGNS
PASSIVESIGNCONVENTION NOT PASSIVE SIGNCONVENTION
currententers currententers
leaves 3leaves
i w i u
FORMULA INDEPENDENTOF
INDEPENDENTOF VALUEOF NOR i
2 f 1M
ib.tt 9 Pso absorbed Dissapated
ia Pro developeddelivered
FORA RESISTOR WEALWAYSHAVE Pso
ir
POWERISTHESAME in
somesson
3s WHEN u flows To
currentmeancurrentisactually
flowinginoppositedirection to Yt iR
reference p
voltagemeansvoltagepolarityis is so
actually theopposite of the
reference
MESH CURRENT BRANCH CURRENT
ARENOTTHESAME
DE VOLTAGE OPTIONS
It M M
of in
he sure
t.gr I
r
Rs
to m m
k I sun
b j ge constraintequations
in
is ib
MESHCURRENT OPTIONS
ʰ
MY
Rs clockwise
v n Mesh ic Racic ia Racic ib Rscic O
Meshia v Ricia we Racia ic o
in 1h Meshib at RsCib Rscic Racib ic o
ypic
, MESS CURRENT METHOD NODE VOLTAGE METHOD
clockwiseas
curvey offoose
1 Diagram withessentialnodesmarked
Identifymeshes use
a select referencenode b
LabelMeshcurrents a MarkNodevoltages
a SPECIALCASE b SPECIALCASE 1 esseinia
Freference
a fin's Irrent
source REPLACE v WITHSOURCEVALUE
b SPECIALCASE2 s
A combineinto
essential essential
SUPERMESH
writeKVL foreachMeshsupermesh COMBINEINTOSUPERNODE
a Dependentsourceconstraint equation 1.1.0Mesh 3 KCL Nonreferenceessentialnode
b supermeshconstraintequation a Dependent source constraint equations
b supernodeconstraintequation
solvesimultaneous formesh currents
solve for unknowns 4 solvesimultaneous for nodevoltages
5 usenodevoltages to getunknowns
IONS IN MESS CURRENTANALYSIS
SSIONS IN NODDEWOLLTAGE ANALYSIS
FIXED SIGNS
FIXEDSIGNS
in in
in E Yuno In
POLARITY
vav.GR iii current
position
a wa ialri.rs Cia ib O
b Cia ib Rst ib Ra o tk so
ib ia Rs ibra o i
so
usepolarity meshcurrentdirection checkuse of polarity current
correctly foreachresistor directionforeachresistor
CHOOSE MESH CURRENT AS CHOOSE NODEVOLTAGEAS
in in CLOCKWISE
in
v r SAME
vav.GR
ii
a va iacri cia ib 123 0
9 if o
b cib ia Rs ibRa O
Alwayschoose currentthrough resistorout of the
N.BALWAYSCHOOSEVOLTAGEDROP INDIRECTIONOF essentialnode for allessentialnodes
MESHCURRENTFORARESISTORFORALL MESHES
UNDERSTANDING SIGNS
PASSIVESIGNCONVENTION NOT PASSIVE SIGNCONVENTION
currententers currententers
leaves 3leaves
i w i u
FORMULA INDEPENDENTOF
INDEPENDENTOF VALUEOF NOR i
2 f 1M
ib.tt 9 Pso absorbed Dissapated
ia Pro developeddelivered
FORA RESISTOR WEALWAYSHAVE Pso
ir
POWERISTHESAME in
somesson
3s WHEN u flows To
currentmeancurrentisactually
flowinginoppositedirection to Yt iR
reference p
voltagemeansvoltagepolarityis is so
actually theopposite of the
reference
MESH CURRENT BRANCH CURRENT
ARENOTTHESAME
DE VOLTAGE OPTIONS
It M M
of in
he sure
t.gr I
r
Rs
to m m
k I sun
b j ge constraintequations
in
is ib
MESHCURRENT OPTIONS
ʰ
MY
Rs clockwise
v n Mesh ic Racic ia Racic ib Rscic O
Meshia v Ricia we Racia ic o
in 1h Meshib at RsCib Rscic Racib ic o
ypic
, MESS CURRENT METHOD NODE VOLTAGE METHOD
clockwiseas
curvey offoose
1 Diagram withessentialnodesmarked
Identifymeshes use
a select referencenode b
LabelMeshcurrents a MarkNodevoltages
a SPECIALCASE b SPECIALCASE 1 esseinia
Freference
a fin's Irrent
source REPLACE v WITHSOURCEVALUE
b SPECIALCASE2 s
A combineinto
essential essential
SUPERMESH
writeKVL foreachMeshsupermesh COMBINEINTOSUPERNODE
a Dependentsourceconstraint equation 1.1.0Mesh 3 KCL Nonreferenceessentialnode
b supermeshconstraintequation a Dependent source constraint equations
b supernodeconstraintequation
solvesimultaneous formesh currents
solve for unknowns 4 solvesimultaneous for nodevoltages
5 usenodevoltages to getunknowns
IONS IN MESS CURRENTANALYSIS
SSIONS IN NODDEWOLLTAGE ANALYSIS
FIXED SIGNS
FIXEDSIGNS
in in
in E Yuno In
POLARITY
vav.GR iii current
position
a wa ialri.rs Cia ib O
b Cia ib Rst ib Ra o tk so
ib ia Rs ibra o i
so
usepolarity meshcurrentdirection checkuse of polarity current
correctly foreachresistor directionforeachresistor
CHOOSE MESH CURRENT AS CHOOSE NODEVOLTAGEAS
in in CLOCKWISE
in
v r SAME
vav.GR
ii
a va iacri cia ib 123 0
9 if o
b cib ia Rs ibRa O
Alwayschoose currentthrough resistorout of the
N.BALWAYSCHOOSEVOLTAGEDROP INDIRECTIONOF essentialnode for allessentialnodes
MESHCURRENTFORARESISTORFORALL MESHES
