P 4.11-4 Computer analysis of the circuit shown in Figure P 4.10-4 indicates that the mesh currents are i₁ = 2 A, i₂ = 4 A, and i₃ = 3 A. Verify that this analysis is correct.

Hint: Use the mesh currents to calculate the element voltages. Verify that KVL is satisfied for each mesh.

Figure P 4.11-4

So Checking voltage walks, first top loop. Start at node above 28 V source and walk clockwise.

So Good!

Bottom Left Loop, again start above the 28 V source and go clockwise

So No, Mesh Analysis is wrong!

Do Mesh Analysis, the equations are

Put into MATLAB and the correct Mesh currents are

MATLAB Code Follows:

%Program to solve PH 320 Homework Problem P4.11-4

%version 2019-02-07 DW Donovan

clear all;

RR = [(12+10+4) -(10) -(4);

-(10) (10+8) -(8);

-(4) -(8) (4+8)];

VV = [0 -28 -4]';

II = RR\VV;

i1 = II(1);

i2 = II(2);

i3 = II(3);

Ans = {['i1 is ' num2str(i1) ' A'];

['i2 is ' num2str(i2) ' A'];

['i3 is ' num2str(i3) ' A']};

Ans

%{

Ans =

'i1 is -2.6667 A'

'i2 is -5.0877 A'

'i3 is -4.614 A'

%}

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This page last updated on February 7, 2019