Tatro Homework 5Matlab A103 9ed Given the following set of e

Tatro Homework 5-Matlab A1.03 9ed Given the following set of equations: 11 (13-j 14) +12 (-12 + j 16) +1 (0) = 150 11 (-12 + j 16) + 12 (13-j13) + 1x (39)=0 11 (-1) + 12 (1) + 1x (1) = 0 Find the three phasor currents. 2 Check age

Solution

type the following matlab code in matlab editor and run we will get required result for A1.03_09ed

% For the first problem A1.03_09ed
clc
% let the coeficient matrix for currents as A
A=[13-14i -12+16i 0;
-12+16i 13-13i 39;
-1 1 1];
% let B be the matrix having coeficients right side of equations
B=[150;0;0];
%let X be the matrix having unknown currents I1, I2 and Ix
X=inv(A)*B

matlab result from command window is as follows

X =

-26.0000 -52.0000i
-24.0000 -58.0000i
-2.0000 + 6.0000i

type the following matlab code in matlab editor and run we will get required result for A1.09_6ed

% for the problem A1.09_6ed
% let the coeficient matrix for voltages as C
C=[(1/40i)+(1/40)+(1/60) -1/60;
-1/60 (1/60)+(1/20i)];
% let D be the matrix having coeficients right side of equations
D=[100/(40i);0];

%let Y be the matrix having unknown currents V1, V0
Y=inv(C)*D

matlab result from matlab command window

Y =

30.0000 -40.0000i
15.0000 + 5.0000i