How to Create Vector Function File

Hello,

I wish to create a vector function defined as the following:

The code I have so far:

function [Ex, Ey, Ez] = E_field()

syms x y z
con = -2.8E+8;
E = con*z.^3;
Ex = matlabFunction(E(1));
Ey = matlabFunction(E(2));
Ez = matlabFunction(E(3));

end

However, I get this error when this function is being referenced when Matlab's ode solver is running:

Index exceeds the number of array elements (1).

Error in sym/subsref (line 890)
            R_tilde = builtin('subsref',L_tilde,Idx);

Error in E_field (line 7)
Ey = matlabFunction(E(2));

I do not see why this wouldn't work as I have a very similar function file that is also being referenced but doesn't throw and error:

function [Bx, By, Bz] = B_test()

%Bfieldstrength = 0.64; %In (Teslas)
magvol = 3.218E-6; %In (m)
mu0 = (4*pi)*10^-7;
magnetization = (Bfieldstrength*magvol)/mu0;

syms x y z
m = [0,0,magnetization];
r = [x, y, z];
B = mu0*(((dot(m,r)*r*3)/norm(r)^5) - m/norm(r)^3);
Bx = matlabFunction(B(1));
By = matlabFunction(B(2));
Bz = matlabFunction(B(3));

end

Suggstions?

Answer 1

[madhan ravi]

I don’t have any suggestions on how to improve it for as for your confusion regarding the error message:

In your first file E only have one element where as in your second file B has three elements.