section 3.6

SECTION 3.6 NODAL AND MESH ANALYSIES WITH INSPECTION

P.Problem 3.69

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G11 = ( ½ ) + ( ¼ ) + (1/1) = 1,75

G22 = ( ¼ ) + ( ¼ ) + ( ½ ) = 1

G33 = (1/1) + ( ¼ ) = 1,25

G12 = -¼ = -0,25

G13 = -1/1 = -1

G21 = -0,25

G23 = -¼  = -0,25

G31 = -1

G32 = -0,25

I1 = 20 , I2 = 5 dan I3 = 10 -5 = 5

 Maka, tegangan node menghasilkan :

P.Problem 3.70

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Ix = 2 v1 , maka matriknya menjadi :

 Maka, hasil ini pada :

V1 = 4/ (-5) = -0,8V

V2 = [-8(-0,8) – 21/5 = 6,4 – 21/5 = 0,88V

P.Problem 3.72

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R11 = 5 + 2 = 7 R22 = 2 + 4  =6

R33 = 1 + 5 = 5 R44 = 1 + 5 = 5

R12 = -2 R13 = R 14 = 0

R23 = -4 R24 = 0

R31 = 0 R32 = -4

R34 = -1 R41 = R42 = 0 R43 = -1

Dimana,

V1 = 8 , v2 = 4 , v3 = -10 dan v4 = -4

Maka, persamaan ini menjadi :

 P.Problem 3.73

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R11 = 2 + 3 + 4 = 9 R22 = 3 + 5 = 8

R33 = 1 + 1 + 4 = 6 R44 = 1 + 1 = 2

R12 = -3 R13 = -4

R14 = 0 R23 = 0

R24 = 0 R34 = -1

v1 = 6 , v2 = 4 , v3 = 2 dan v4 = -3

maka,persamaan matrik nya adalah :

 P.Problem 3.74

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R11 = R1+ R4 + R6 R22 = R2 + R4 + R5

R33 = R6 + R7 + R8 R44 = R3 + R5 + R8

R12 = -R4 R13 = -R6

R14 = 0 R23 = 0

R24 = -R5 R34 = -R8

Maka,vector tegangan inputnya adalah :

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