Question

Use the circuit below to complete the given MATLAB script to plot the three currents 11, 12, and 13. Run MATLAB then pick an answer from the choices below that matches the MATLAB plot. I Z1 13 212 1, 22, 23 Vs + 8/45° 22222 2.12 MATLAB uncomplete script %phasor plot clc; clear all; close all: Z1-2; Z2=2j; Z3=2-2j; %no need to use the as in 6*j %Vs=87_45 theta=45*pi/180;%convert theta to radians R-8: [a,b]=pol2cart(theta,R): %note theta first in the arguments Vs=a+j*b; %cartesian form Z23- :% Complete Zeg= : % Complete 11= : % Complete 12=Z :% Complete 13-Z : % Complete x = [real(11) real(12) real(13)]; y=[imag(11) imag(2) imag(13)]; 1=x+jºy: clr = lines(numel(x,y)); %# colors you want to h-compass(1); set(h,{'Color'}, num2cell(clr,2). "LineWidth:2) u=abs(1); v=phase(l)*180/pi; figure(1) set(findobjigcf, type text"-and"fontsize:10).string") legend({['|_1= num2str(u(1)). As theta_1=num2str(v(1) 40'... ["I_2= num2str(u(2)): A theta_2= num2str(v(2))o').... ["I_3=num2str(u(3)): A theta_2='num2str(v(3)).o']}... 'location, southoutside') B03 903 903 120 120 60 501 00 2 2 2 1.50 30 100 150 30 150 30 180 0 180 010 150 210 930 330 210 330 210 20 300 240 300 220 ILA 1551 1-2701 AT 1.-17 Ath-18.40341 PLOT A 300 240 210 270 -1,1.7830 86861 117380 A, 24.5857" 125208 A, 26256 A16961 | | "1 T83 A Tha T-63 434 | Ep Tai A, P.761 4741 PLOTE PLOTC 240 270 1.7280 A 18.4540 29200 Athy-3656 17:59 A 108.4342 PLOTD

Answer 1

MATLAB CODE::

clc; clear all; close all;
%% data
z1=2;z2=2j;z3=2-2j;
theta=45*(pi/180);R=8;
[a b]=pol2cart(theta,R);
Vs=a+b*j
z23=1/((1/z2)+(1/z3))
zeq=z23+z1
i1=Vs/zeq
i2=i1*(z3/(z2+z3))
i3=i1*(z2/(z2+z3))
x=[real(i1) real(i2) real(i3)];
y=[imag(i1) imag(i2) imag(i3)];
I=x+y*j;
clr=lines(numel(x,y));
h=compass(I)
set(h,{'color'},num2cell(clr,2),'linewidth',2)
u=abs(I)
v=phase(I)*(180/pi)
figure(1)

vl=i2*z2
vr=i3*2
vc=i3*-2j

MATLAB RESULTS::

Vs =

5.6569 + 5.6569i

z23 =

2.0000 + 2.0000i

zeq =

4.0000 + 2.0000i

i1 =

1.6971 + 0.5657i

i2 =

2.2627 - 1.1314i

i3 =

-0.5657 + 1.6971i

h =

3x1 Line array:

Line
Line
Line

u =

1.7889 2.5298 1.7889

v =

18.4349 -26.5651 108.4349

>>

PLOT Option ( D) is coorect answer.

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