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non-reference nodes

functions of node voltages.

Solve simultaneous e uations.

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a a b

s

v v vi

KCL for node a:

2 1

v v v

1 3R R

or no e :

av _

a b

R

a b2R bva

R1+ +

3

is

R3R

2_v

a _v

b

c

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a b a

s

v v vi

KCL for node a:

1 2

b a bv v v

3 1

R R

av _1

a b

R

a b2R bva

R1+ +

3

is

R3R

2_v

a _v

b

c

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or no e a:

3

b a a

KCL for node b:

b av v2

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KCL for node a: K L f r n :

v v v v v v

2 4

2 3

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KCL for node a:

1 2

a c a c ai i

R R R

a bR52

R3

i1

R1

R2

R4 i

3

c R6

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KCL for node a:

1 2

1 2 5 5 1 2

a b cv v v i i

R R R R R R

a bR52

R3

i1

R1

R2

R4 i

3

c R6

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KCL for node b:

3 2

5 3 4 5 3

a b cv v v i i

R R R R R

a bR52

R3

i1

R1

R2

R4 i

3

c R6

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KCL for node c:

1

1 2 3 1 2 3 6

a b cv v v i

R R R R R R R

a bR52

R3

i1

R1

R2

R4 i

3

c R6

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1 2

1 1 1 1 1 1a b c

v v v i i

3 2

5 3 4 5 3

a b cv v v i i

R R R R R

1 1 1 1 1 1 1 1

1 2 3 1 2 3 6

a b c

R R R R R R R

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1 1 1 1 1 1

1 2 5 5 1 2

1 2a

R R R R R Rv i i

3 2

5 3 4 5 3

bv i i

R R R R Rv i

1 1 1 1 1 1 1

R R R R R R R

= s

n n

matrix

matrix

matrix