Question

please do this problem in matlab and show me the code. Thanks.

please do this problem in matlab and show me the code. Thanks.

please do this problem in matlab and show me the code. Thanks.

please do this problem in matlab and show me the code. Thanks.

please do this problem in matlab and show me the code. Thanks.
Problem #1: Circuits and linear-systems In the last HW you developed the governing equations for the “Wheatstone”-bridge circuit used extensively in engineering applications (shown below). B R R2 A D G m RA с E The resulting equations were solved for the output voltage and currents using the function: function [V_out, I_vector] =Wheatstone_bridge (v_in, R_vector) In addition, for Rı–Rzą Rza R4, we can approximate the output voltage via the expression Voutput Vinput(AR/(4R)) where AR = R1 - R for small AR (AR « R).
please do this problem in matlab and show me the code. Thanks.

please do this problem in matlab and show me the code. Thanks.

please do this problem in matlab and show me the code. Thanks.

please do this problem in matlab and show me the code. Thanks.

please do this problem in matlab and show me the code. Thanks.

Answer 1

clear;
clc;
close all;
r11 = 1200;
r2 = 1200;
r3 = 1200;
r4 = 1200;

for i = 1:100
   r1 = r11 + i;
   [V_out,~] = Wheatstone_bridge(10,[r1 r2 r3 r4]);
   vout_vec(i) = V_out;
   vout_vec_approx(i) = 10*i/4/1200;
end
plot(1:100,vout_vec);
hold on;
plot(1:100,vout_vec_approx);
legend("Function Plot","Approximation Plot");
xlabel("delta_R");
ylabel("V_out");

error = abs(vout_vec_approx-vout_vec);
figure;
plot(1:100,error);
title("Error plot");
xlabel("delta_R");
ylabel("error");

function [V_out,I_vector] = Wheatstone_bridge(V_in,R_vector)
    r1 = R_vector(1);
    r2 = R_vector(2);
    r3 = R_vector(3);
    r4 = R_vector(4);
    syms vb vc;
    eqn1 = (vb-V_in)/r1 + vb/r2 == 0;
    eqn2 = (vc-V_in)/r3 + vc/r4 == 0;
    [vb,vc] = solve([eqn1 eqn2],[vb vc]);
    V_out = double(vc-vb);
    I_vector(1) = (V_in-vb)/r1;
    I_vector(2) = (vb)/r2;
    I_vector(3) = (V_in-vc)/r3;
    I_vector(4) = (vc)/r4;
end

0.25 Function Plot Approximation Plot 02 0.15 V ut 0.1 0.05 0 10 20 30 40 50 60 70 80 90 100 deltar

109 Error plot 9 B 7 6 5 error 3 2 1 0 10 20 30 40 50 60 70 80 90 100 delta R