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+// To find shunt and current limiting resistor

+// Modern Electronic Instrumentation And Measurement Techniques

+// By Albert D. Helfrick, William D. Cooper

+// First Edition Second Impression, 2009

+// Dorling Kindersly Pvt. Ltd. India

+// Example 4-8 in Page 70

+

+

+clear; clc; close;

+

+// Given data

+I_fsd = 10*(10^-3); // current for full scale deflection in ampere

+R_m = 5; //internal resistance of the d'Arsonval movement in ohm

+E = 3; //Battery voltage in volt

+R_h = 0.5; //The desired scale marking for the half scale deflection in ohm

+

+//Calculations

+I_m = 0.5 * I_fsd; // Current for half scale deflection of movement

+E_m = I_m * R_m; //The voltage across movement

+I_x = E_m / R_h; // Voltage across unknown resistor R_x

+I_sh = I_x - I_m; //As I_x = I_sh + I_m

+R_sh = E_m / I_sh;

+I_t = I_m +I_sh +I_x; //The total battery current

+R_1 = (E - E_m)/I_t; 

+printf("(a)  The value of the shunt resistor, R_sh = %0.3f ohm\n",R_sh);

+printf("(b)  The value of the current limiting resistor, R_1 = %0.2f ohm",R_1);

+

+//Result

+// (a)  The value of the shunt resistor, R_sh = 0.556 ohm

+// (b)  The value of the current limiting resistor, R_1 = 29.75 ohm 

+

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+(a)  The value of the shunt resistor, R_sh = 0.556 ohm

+(b)  The value of the current limiting resistor, R_1 = 29.75 ohm