P 4.2-2 Determine the node voltages for the circuit of Figure P 4.2-2.

Answer: v₁ = 2 V, v₂ = 30 V, and v₃ = 24 V

Figure P 4.2-2

Write a voltage node equation at v₁

Multiply equation by 20 Ω and we get

Write another voltage node equation at v₂

Multiply equation by 20 Ω and we get

Finally, voltage node equation at v₃

Multiply equation by 30 Ω and we get

So we can write our three equations with three unknowns as

Using MATLAB, the answers are

MATLAB Code Follows:

%Program to solve PH 320 Homework Problem P4.2-2

%version 2019-01-26 DW Donovan

clear all;

GG = [5 -1 0; -1 3 -2; 0 -3 5];

II = [-20 40 30]';

VV = GG\II;

v1 = VV(1);

v2 = VV(2);

v3 = VV(3);

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

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

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

Ans

%{

Ans =

'v1 = 2 V'

'v2 = 30 V'

'v3 = 24 V'

%}

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This page last updated on January 26, 2019