P4.3-4. Determine the values of the node voltages, v_1, v₂ and v₃ in the circuit shown in

Figure P4.3-4

Figure P 4.3-4

Write out the node equations

Nodes v₁ and v₃ are a supernode, so we have the following two equations

and

For Node v₂

Simplify by finding common denominators

So our three equations and three unknowns are:

Plug into MATLAB

Answers are

MATLAB Code follows:

%Program to solve homework problem PH 320 P04P03D04

%version 2019-01-29 DW Donovan

clear all;

A = [9 -6 12;8 -17 4;1 0 -1];

B = [25 0 -15]';

xx = A\B;

x1 = xx(1);

x2 = xx(2);

x3 = xx(3);

Ans = {['v1 = ' num2str(x1) ' V'];

['v2 = ' num2str(x2) ' V'];

['v3 = ' num2str(x3) ' V']};

Ans

%{

Ans =

'v1 = -7.9825 V'

'v2 = -2.1053 V'

'v3 = 7.0175 V'

%}

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This page last updated on January 29, 2019