Question

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(Matlab) - using matlab program

Write a MATLAB program to solve for the currents i_1, i_2, and i_3 (amps) in the circuit shown below in which the resistances are R_1 = 20, R_2 = 13, R_3 = 6, R_4 = 32 and R_5 = 110 ohms and the input voltage V_i is 120 volts Derive the equations using the Kirchoff Voltage Law (sum of voltages around a loop must be zero). Format the output and display the currents with 3 decimal places. The upper loop is: R_1(i_2) + R_2(??) + R_3(i_2 - i_3) = 0 And the lower right loop is: R_3(??) + R4(i_3 - i_1) + R_5(??) Loop current i_1 is x.6xx amps Loop current i_2 is x.x4x amps Loop current i_3 is 0.x4x amps What happens if R_2 and R_4 are both set to zero?

Answer 1

Answer:

oms belo 213 the loap olu as bel 4511-1312-3277-120-> (D he loop ol t is as belou 2 (20)-z-3

A, the toop o 16 -110-32i33 Meho in MATLA is au belouo 32 648 E İs Constant matrix-OF-rt20 3-39 3
The Matlab code to solve the equations 1,2 and 3 is as below

MATLAB CODE:-

A=[45 -13 -32;13 -39 6; 32 6 -148];
B=[120;0;0];
x=inv(A)*B;
disp(x);

OUTPUT:-

>>
3.657
1.349
0.845

Therefore i1=3.657,i2=1.349 and i3=0.845

MATLAB CODE when R2 and R3 are set to 0 is as below

is a betow loop of tor toop 120 x 1レ 2
MATLAB CODE:-

A=[13 -13 0;0 -26 6; 0 6 -116];
B=[120;0;0];
x=inv(A)*B;
disp(x);

OUTPUT:-

>>
9.230
0
0

Therefore i1=9.230,i2=0 and i3=0 when R2 and R4 are set to 0