// Exa 2.30 clc; clear; close; // given : sigma=5 // conductivity of sea water in mho/m f1=25 // frequency in kHz f1=25*10^3 // frequency in Hz omega1=2*%pi*f1 // angular frequency in Hz f2=25 // frequency in MHz f2=25*10^6 // frequency in Hz omega2=2*%pi*f2 // angular frequency in Hz epsilon_r=81 // relative permittivity epsilon_0=8.854*10^-12 // permittivity in free space epsilon=epsilon_r*epsilon_0 // permittivity mu_r=1 // relative permeability mu_0=4*%pi*10^(-7) // permeability in free space mu=mu_r*mu_0 // permeability disp("when frequency=25kHz") alpha_1=omega1*sqrt((mu*epsilon)/2*(sqrt(1+(sigma^2/(omega1^2*epsilon^2)))-1)) // attenuation constant when f=25kHz //formula: exp(-alpha*x)=0.1 x1=2.3/alpha_1 // transmitted distance in m disp(x1,"transmitted distance in m:") disp("when frequency=25MHz") alpha_2=omega2*sqrt((mu*epsilon)/2*(sqrt(1+(sigma^2/(omega2^2*epsilon^2)))-1)) // attenuation constant when f=25MHz x2=2.3/alpha_2 // transmitted distance in m disp(x2,"transmitted distance in m:") //note: the values of epsilon_r=81 and of mu_r=1 for sea water which are not given in the book.