P 4.11-1 Computer analysis of the circuit shown in Figure P 4.10-1 indicates that the node voltages are v_a = 5.2 V, v_b = –4.8 V, and v_c = 3.0 V. Is this analysis correct?

Hint: Use the node voltages to calculate all the element currents. Check to see that KCL is satisfied at each node.

Figure P 4.11-1

Calculate v_a-v_c

Plug in given voltages

So this analysis is incorrect!

Write out node equations and solve them.

Super node a-c provides these two equations

Finally the b node equation

Write equations in to form for MATALB

From MATLAB the Correct Voltage node analysis provides:

MATLAB Code Follows:

%Program to solve PH 320 Homework Problem P4.11-1

%version 2019-02-06 DW Donovan

clear all;

GG = [1 0 -1;

(1/2 + 1/4) -(1/4 + 1/5) (1/5 + 1/3);

-(1/4) (1/4 + 1/5) -(1/5)];

II = [10 0 0.5]';

VV = GG\II;

va = VV(1);

vb = VV(2);

vc = VV(3);

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

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

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

Ans

%{

Ans =

'va = 4.6 V'

'vb = 1.2667 V'

'vc = -5.4 V'

%}

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This page last updated on February 6, 2019