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//===========================================================================
//chapter 10 example 13
clc;
clear all;
//variable declaration
P = 1000; //resistance in arm AB in Ω
Q = 100; //resistance in arm BC in Ω
R = 200; //resistance in arm BD in Ω
Si1 = 10; //sensitivity
Si2 = 5; //sensitivity
Rg1 =400;
Rg2 =100;
//calculations
S = R*Q/P; //resistance required in arm CD in Ω
Rth = ((R*S/(R+S))+(P*Q/(P+Q))); //thevenin's equivalent resistance of bridge in Ω
//theta = (Si*E*S*dR)/((R+S)^2)*(Rth+Rg1))
//theta2/theta1 = (Si*E*S*dR)/((R+S)^2)*(Rth+Rg1))*(((R+S)^2)*(Rth+Rg1)/(Si*E*S*dR))
r = (Si2/Si1)*((Rth+Rg1)/(Rth+Rg2)); //ratio deflection of two galvanometer
//result
mprintf("ratio deflection of two galvanometer = %3.3f Ω",r);
mprintf("\nthe first galvanometer (internal resistance 400 Ω and sensitivity 10 mm/uA) is less sensitive to a small unbalance on the given bridge ,through on its own it is more sensitive than the other galavanometer")
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