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+// Exa 2.20

+clc;

+clear;

+close;

+// given :

+sigma=10^-2 // conductivity of earth in mho/m

+epsilon_r=10 // relative permittivity

+mu_r=2 // relative permeability

+epsilon_0=(1/(36*%pi))*10^-9 // permittivity in free space

+epsilon=epsilon_r*epsilon_0 // permittivity

+f1=50 // frequency in Hz

+omega1=2*%pi*f1 // angular frequency in rad/sec

+disp("When frequency=50Hz:")

+k1=sigma/(omega1*epsilon)

+disp(k1,"K1 is equal to")

+disp("since k1>>1 hence it behaves like a good conductor:")

+f2=1 // frequency in kHz

+f2=1*10^3 // frequency in Hz

+omega2=2*%pi*f2 // angular frequency in rad/sec

+disp("When frequency=1kHz:")

+k2=sigma/(omega2*epsilon)

+disp(k2,"K2 is equal to")

+disp("since k2>>1 hence it behaves like a good conductor:")

+f3=1 // frequency in MHz

+f3=1*10^6 // frequency in Hz

+omega3=2*%pi*f3 // angular frequency in rad/sec

+disp("When frequency=1MHz:")

+k3=sigma/(omega3*epsilon)

+disp(k3,"K3 is equal to")

+disp("since k3=18 hence it behaves like a moderate conductor:")

+f4=100 // frequency in MHz

+f4=100*10^6 // frequency in Hz

+omega4=2*%pi*f4 // angular frequency in rad/sec

+disp("When frequency=100MHz:")

+k4=sigma/(omega4*epsilon)

+disp(k4,"K4 is equal to")

+disp("since k4=0.18 hence it behaves like a quasi-dielectric:")

+f5=10 // frequency in GHz

+f5=10*10^9 // frequency in Hz

+omega5=2*%pi*f5 // angular frequency in rad/sec

+disp("When frequency=10GHz:")

+k5=sigma/(omega5*epsilon)

+disp(k5,"K5 is equal to")

+disp("since k5<<1 hence it behaves like a good dielectric:")