Question

Use Loop Analysis to complete the elements of the Amatrix of the equation A*I=S, where A is the nodal matrix, I is the loop cFor the circuit of Question 6, copy the source vector S, paste it below then complete it. S=[ ; ; ];Complete and use MATLAB below or a calculator to solve using nodal analysis for the node voltages V1, V2, V3 of the circuit oa. What is Vo in rectangular form? b. What is Vo in polar form?

CIRCUIT ANALYSIS!
Electrical engineering!
Knowledge of MATLAB required!!!!
Professionals only!
Please be clear and concise.
MUST ANSWER ALL PARTS OF QUESTION!!!!!!!! Credit only awarded to all complete answers
Please circle answers

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Answer #1

MATLAB PROGRAMME::

clc;
clear all; close all;


%% circuit data
z1=2; z2=-2j; z3=4j; z4=2;
vs=12; is=2;
%% loop analysis
A=[z2+z3 -z3 z1;-z3 z4+z3 0;-1 0 1]; %% mesh analysis matrix
S=[-vs;vs;is]; %% source vector
i=inv(A)*S; %% finding loop currents
vo=i(2)*z4 % output voltage
R=abs(vo) % absolute values of v0
theta=phase(vo)*(180/pi);
disp(['vo=',num2str(vo)]); % this is to display the results
disp(['vo=',num2str(R),'/_',num2str(theta)])

%% noddal analysis
A1=[(1/z1)+(1/z2) 0 -(1/z1);(1/z2) (1/z3) ((1/z1)+(1/z4));0 -1 1]
S1=[-is;0;vs]
node_voltages=inv(A1)*S1

MATLAB RESULTS:


vo =

-1.3333 - 5.3333i


R =

5.4975

vo=-1.3333-5.3333i
vo=5.4975/_-104.0362

A1 =

0.5000 + 0.5000i 0.0000 + 0.0000i -0.5000 + 0.0000i
0.0000 + 0.5000i 0.0000 - 0.2500i 1.0000 + 0.0000i
0.0000 + 0.0000i -1.0000 + 0.0000i 1.0000 + 0.0000i


S1 =

-2
0
12


node_voltages =

-2.4000 + 0.8000i
-11.2000 - 1.6000i
0.8000 - 1.6000i

>>

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