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//===========================================================================
//chapter 3 example 14
clc;clear all;
//variable declaration
R1 = 200; //resistancce in Ω
R2 = 100; //resistancce in Ω
R3 = 50; //resistancce in Ω
dR1 = 5; //change in resistancce(dR1/R1) in %
dR2 = 5; //change in resistancce(dR2/R2) in %
dR3 = 5; //change in resistancce(dR3/R3) in %
y1 = 20000;
y2 = 5000;
y3 = 10000;
//calculations
Rse = R1+R2+R3; //equivalent resistance in Ω
R = ((R1/(Rse))*(dR1))+((R2/(Rse))*(dR2))+((R3/(Rse))*(dR3));
e = Rse*(R/(100)); //relative limiting error of series equivalent in Ω
X = R1*R2*R3;
Y = (R2*R3)+(R1*R3)+(R1*R2);
RP = X/(Y); //equivalent resistance in Ω
eX = dR1+dR2+dR3; //error in X in %
dy1 = dR1+dR2; //error(dy1/y1) n y1 in %
dy2 = dR2+dR3; //error(dy2/y2) in y2 in %
dy3 = dR3+dR1; //error(dy3/y3) in y3 in %
eY = ((y1/(Y))*(dy1))+((y2/(Y))*(dy2))+((y3/(Y))*(dy3)); //percentage error in %
pemax = eX+eY; //percentage error (maximum possible) in equivalent parallel resistance in %
emax = RP*(pemax/(100)); //error maximum possible in equivalent parallel resistance in Ω
//result
mprintf("equivalent resistance = %3.2f Ω",Rse);
mprintf("\nrelative limiting error of series resistance = %3.2f percentage",R);
mprintf("\nrelative limiting error of series equivalent = %3.2f Ω",e);
mprintf("\npercentage error (maximum possible) in equivalent parallel resistance= %3.2f percetage",pemax);
mprintf("\nerror maximum possible in equivalent parallel resistance =%3.4f Ω',emax);
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