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//===========================================================================
//chapter 3 example 19
clc;clear all;
//variable declaration
C = 1*10^-6; //capacitance in F
dC = 1; //error capacitance in %
P = 1000; //resistance in Ω
dP = 0.4; //error in resistance in %
Q = 2000; //resistance in Ω
dQ = 1; //error in resistance in %
S = 2000; //resistance in Ω
dS = 0.5; //error in resistance in %
r = 200; //resistance in Ω
dr = 0.5; //error in resistance in %
//calcukations
Lx = ((C*P)*((r*(Q+S))+(Q*S)))/(S); //unknown inductance in Henry
u =Q+S; //in Ω
du = ((Q/(u))*(dQ))+((S/(u))*(dS)); //percentage error in %
v = r*(Q+S);
dv = dr+du; //percentage error of v in %
x = Q*S;
dx = dQ+dS; //percentage error of x in %
y = (r*(Q+S))+(Q*S);
dy = ((v/(y))*(dQ))+((x/(y))*(dx)); //percentage error in %
dLx = dC+dP+dS+dy;
//result
mprintf("unknown inductance = %3.2f henry",Lx);
mprintf("\npercentage error on inductance = %3.1f percentage",dLx);
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