Question

Matlab code for resonant frequency of coaxial cable

 

Answer 1

MATLAB code:

function Frequencia_Table = Frequencia(v,lx,ly,lz)

% Building the array of values

nx = [zeros(5,1); repelem([1:4]',6,1)];

ny = [0; repmat(repelem([1 2 0]',2,1),4,1); 1; 1; 2; 2];

nz = [repmat([1;0],14,1); 1];

Freq = [nx, ny, nz, nan(size(nx,1),1)];

% Function handle

f = @(lx,ly,lz) v/2.*sqrt((nx./lx).^2 + (ny./ly).^2 + (nz./lz).^2);

% Calculate Frequencies (lx = 2, ly = 3, lz = 4) --> Enter the lengths here

Freq(:,4) = f(lx,ly,lz);

% Create a table of the results

Frequencia_Table = table(Freq(:,1),Freq(:,2),Freq(:,3),Freq(:,4),'VariableNames',{'Nx','Ny','Nz','Frequencia'});

end

Save this code as .m file and then call function as below:

% Call the function with v=0.2, lx=2, ly=3, lz=4 and save the result in the variable res

res = Frequencia(0.2,2,3,4)

Result:

res =

29×4 table

Nx Ny Nz Frequencia

__ __ __ __________

0 0 1 0.025

0 1 0 0.033333

0 1 1 0.041667

0 2 0 0.066667

0 2 1 0.0712

1 0 0 0.05

1 0 1 0.055902

1 1 0 0.060093

1 1 1 0.065085

1 2 0 0.083333

1 2 1 0.087003

2 0 0 0.1

2 0 1 0.10308

2 1 0 0.10541

2 1 1 0.10833

2 2 0 0.12019

2 2 1 0.12276

3 0 0 0.15

3 0 1 0.15207

3 1 0 0.15366

3 1 1 0.15568

3 2 0 0.16415

3 2 1 0.16604

4 0 0 0.2

4 0 1 0.20156

4 1 0 0.20276

4 1 1 0.20429

4 2 0 0.21082

4 2 1 0.2123