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+// Exa 3.21

+format('v',7);clc;clear;close;

+// Given data

+r = 2;//radius in m

+r = r * 10^3;// in mm

+d = 200;//deflection in mm

+To = 3.1415;// in sec   

+J = 2*10^-6;// in kg-m^2

+i = 1;// in µA

+i = i * 10^-6;// in A

+// d = 2*r*theta_f;

+theta_f = d/(2*r);// in rad

+// To = 2*%pi * (sqrt( J/K ));

+K = 4*%pi^2*J/To^2;// in Nm/A

+// theta_f = (G*i)/K;

+G = (theta_f*K)/i;// in Nm/A

+// The required resistance to obtain critical damping 

+Rc = G^2/( 2*sqrt(J*K));// in ohm

+Rc = Rc * 10^-3;// in k ohm

+disp(Rc,"The required resistance to obtain critical damping in kΩ is");