P 4.3-9 Determine the values of the node voltages of the circuit shown in Figure P 4.3-9.

Figure P 4.3-9

Write out set of node equations

We have two special spots.

And v₁ and v₂ are a supernode so have the equations

Finally

We can put these equations into the form:

Now put them into MATLAB and solve for the four voltages

MATLAB Code Follows:

%Program to solve PH 320 Homework Problem P.4.3-9

%version 2019-01-30 DW Donovan

clear all;

GG = [0 0 0 1;

-1 1 0 0;

(1/8) (1/20) (-1/8) (-1/20);

(-1/8) 0 (1/8 + 1/12 + 1/40) (-1/12)];

II = [15 5 1.25 0]';

VV = GG\II;

v1 = VV(1);

v2 = VV(2);

v3 = VV(3);

v4 = VV(4);

Ans = {['v1 = ' num2str(v1) ' V'];

['v2 = ' num2str(v2) ' V'];

['v3 = ' num2str(v3) ' V'];

['v4 = ' num2str(v4) ' V']};

Ans

%{

Ans =

'v1 = 22.3967 V'

'v2 = 27.3967 V'

'v3 = 17.3554 V'

'v4 = 15 V'

%}

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This page last updated on January 30, 2019