// To find deflection caused by the given unbalance // Modern Electronic Instrumentation And Measurement Techniques // By Albert D. Helfrick, William D. Cooper // First Edition Second Impression, 2009 // Dorling Kindersly Pvt. Ltd. India // Example 5-1 in Page 101 clear; clc; close; // Given data // Resistances of the 4 arms in ohm R_1 = 1000; R_2 = 100; R_3 = 200; R_4 = 2005; E = 5; // battery EMF in volt S_I = 10*(10^-3)/(10^-6); //Current sensitivity in m/A R_g = 100; //Internal resistance of galvanometer in ohm //Calculations //Calculations are made wrt fig 5-3 in page 103 //Bridge balance occurs if arm BC has a resistance of 2000 ohm. The diagram shows arm BC has as a resistance of 2005 ohm //To calculate the current in the galvanometer, the ckt is thevenised wrt terminals B and D. //The potenttial from B to D, with the galvanometer removed is the Thevenin voltage // E_TH = E_AD - E_AB E_TH = E * ((R_2/(R_2+R_3)) - (R_1/ (R_1+R_4))); R_TH = ((R_2 * R_3/(R_2+R_3)) + (R_1 * R_4/ (R_1+R_4))); //When the galvanometer is now connected to the output terminals, The current through the galvanometer is I_g = E_TH /(R_TH +R_g); d = I_g * S_I; printf("The deflection of the galvanometer = %0.2f mm",(d*1000)); //Result // The deflection of the galvanometer = 33.26 mm