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//===========================================================================
//chapter 5 example 16
clc;clear all;
//variable declaration
theta = 90; //full-deflection in °
Td = 0.4*10^-4; //full-scale deflecting torque in Nm
I = 0.05; //current in A
M = 0.25; //initial inductance in H
V = 50; //voltage in V
I = 0.05; //current in A
f =50; //frequency in Hz
V2 = 25;
R = 1000;
//calculations
//dM/dtheta = x
x = (Td/(I^2)); //change in inductance in H
dM = (Td/(I^2))*((theta*%pi)/(180)); //change in inductance in H
M1 = M+dM; //total mutual inductance in H
R = V/(I); //the resistance of voltmeter in Ω
Z =sqrt((R**2)+((2*%pi*f*M1)**2)); //toatal impedance in Ω
V1 = (V/(Z))*R; //voltmeter reading in V
d = V-V1; //difference in reading in V
I1 = V2/(R); //current through instrument in A
theta1 = ((theta*%pi)/(180))*((I1/(I))^2); //defelction
M2 = M+(x*theta1); //total mutual inductance in H
Z1 = sqrt((R**2)+((2*%pi*f*M2)**2)); //toatal impedance in Ω
V21 = (V2*R)/(Z1); //voltmeter reading in V
d1 = V2-V21; //difference in voltmeter reading in V
//result
mprintf("impedancewhile measuring the voltage = %3.3f Ω",Z1);
mprintf("\ndifference in reading = %3.1f V",d);
mprintf("\ndifference in reading when 25v is used = %3.2f V",d1);
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