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Nodal analysis, | | | | R 1 R 2 R 3 R 4 I 1 I 2 1 2 0

Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

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Page 1: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

Nodal analysis,

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| |

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R1

R2

R3 R4 I1

I2

1 2

0

Page 2: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

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Page 3: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

Nodal analysis,

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] [

]

|

| |

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2 1

I1

I2

I3

R2

R1 R3

0

Page 4: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

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Page 5: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

Using canonical form of voltage equations to make the nodal voltage method applicable,

Equivalent circuit is shown below:

1 2

R1

R2

R3

Vs1 Vs2

0

Page 6: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

From original circuit,

0

Page 7: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

Using canonical form of voltage equations to make the nodal voltage method applicable,

Equivalent circuit is shown below:

R1 R2

R3 Vs1 Is1

0

1

1

V1

0

Page 8: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

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Page 9: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

2

3

1

R1

R2

R3

R4

Vv

II

0

Page 10: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

Substituting

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]

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|

Page 11: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

Using canonical form of voltage equations to make the nodal voltage method applicable,

Equivalent circuit is shown below:

1 Rv RD

Vv VD II

0

0

Page 12: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the
Page 13: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

3

2 1

Vv II

R1

R2

R3

R4

0

Page 14: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

Substituting ,

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] [

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Page 15: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

Using the reference node 0 as shown in the figure above,

Using canonical form of voltage equations to make the nodal voltage method applicable,

Equivalent circuit is shown below:

Vv II1 II2 R1 R2

R3 Vs

0

2

1

Vo

Page 16: Nodal analysis,ajohnson/eecs2300/gendat/10eHw5sol_elci.pdfNodal analysis, [][] [] | | | | 1 2 I 1 3 I 2 I 3 R 2 R 1 R 0 | | | | Using canonical form of voltage equations to make the

Substituting for ,


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