Question

Given an electric circuit, the application of the underlying laws leads to the following six equations: V - Ruiz - Raid = 0 -R12 + R, i + Rziz = 0 -Rei - Raiz + Rsis = 0 i=ith į tiz=is = it is istis=1 Use R= 1.5, R2 = 3, R; = 2.5, R2 = 6, R3 = 4 ko, and v = 150 V. (1 kg = 10000.) I 1. Write this set of equations in matrix form. 2. Solve for the six currents and store your result in a 6x1 vector named curr. 3. Discuss your solution

Please help me solve this matlab question, I only have 30 minutes

Answer 1

MATLAB Code ==>

clear all
% Take first 6 equations only.
% Take all the dependent variable on left.
% and independent variable on the right.
% arrange them in the order : [i1 i2 i3 ai4 i5 i6] on the left.
% Now, arrange matrix equation in the form :
% [A]*curr = b; curr = transpose of [i1 i2 i3 i4 i5 i6]

R1 = 1500;
R2 = 3000;
R3 = 2500;
R4 = 6000;
R5 = 4000;
V = 150;

A = [0 -R2 0 -R4 0 0;
R1 -R2 R3 0 0 0;
0 0 -R3 -R4 R5 0;
-1 -1 0 0 0 1;
0 1 1 -1 0 0;
1 0 -1 0 -1 0;];

b = [-V; 0; 0; 0; 0; 0];

% Since matrix form is [A]*curr = b
% Therefore curr = inverse([A])*b ==>
curr = inv(A)*b

RESULTS ==>

curr =

0.0285
0.0156
0.0016
0.0172
0.0268
0.0440

Meaning of the result ==>

i1 = 0.0285 A
i2 = 0.0156 A
i3 = 0.0016 A
i4 = 0.0172 A
i5 = 0.0268 A
i6 = 0.0440 A

MATLAB R2015a - academic use x IE HOME PLOTS APPS EDITOR PUBLISH VIEW ? Search Documentation FILE ох fftHomeworkLib.m x current_mat.mx + X + La Find Files Insert fx Fil Run Section 3 Compare Go To Comment % New Open Save Breakpoints Run Run and Advance Run and Print Find - Indent 5 Advance Time NAVIGATE EDIT BREAKPOINTS RUN C: Users ssrgd Documents Current Folder Editor - C:\Users\ssrgd\Documents\current_mat.m Name +20 test.mx Min_fencing.mx quan_encoderm X Eq_Solve.m x quadratic_calculator.mx quadratic_calculator.m x bode_PC.m X nyquist_12.m X FTN95 Examples This file can be published to a formatted document. For more information, see the publishing video or help. LabVIEW Data 1 clear all LogicWorks 2 * Take first 6 equations only. LTspiceXVII 3 MATLAB Take all the dependent variable on left. 4 My Music fand independent variable on the right. My Pictures 5 $arrange them in the order : [il i2 i3 ai4 i5 i6] on the left. My Videos 6 Now, arrange matrix equation in the form : D. 1i.png 7 $ [A] *curr = b; curr = transpose of [il i2 i3 i4 i5 i6] lii.png 8 1. liii.png 9 - R1 = 1500; P. 2i.png R. 2i.png Command Window R. 2iii.png New to MATLAB? See resources for Getting Started, 7 - Details >> current_mat Workspace + curr = Value Name НА b H curr R1 R2 R3 R4 R5 HV 6x6 double (-150:0:0:0:0;0) [0.0285;0.0156;0.0016... 1500 3000 2500 6000 4000 150 0.0285 0.0156 0.0016 0.0172 0.0268 0.0440 script Ln 31 Col 1 e . OL 5:25 AM 5/21/2020
NOTE - For any other help, please let me know in the comments.