Question

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.

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