Electromagnetic Field Theory - Matlab

Write several MATLAB functions that will solve these 3 problems. I have provided both the problems and the solutions, so all I need help with is the MATLAB coding. I need to be able use other values as inputs, please do not set all of the parameters as fixed inputs. Here are my variable inputs for each problem Problem #1 Variable Input for the length of rod, # of revolutions and magentic field Problem #2 Variable Input for Electric Field and Er Problem#3 Variable input for Zo, Zl, and wavelength.

The electric field radiated at large distances in free space by a current-carrying small circular loop of radius a

See attached file for the problem. The electric field radiated at large distances in free space by a current-carrying small circular loop of radius a, placed on the xy plane at z=0, is given by Є= , >>a Where is a constant, , r is the radial distance in spherical coordinates, and is the spherical angle measured from the z axis that is perpendicular to the plane of the loop. Determine the corresponding radiated magnetic field at large distances from the loop (r>>a).

Spherical Hankel Functions

Please see attached file.

Show that the vector wave equation

See attached file for detail.

Verify Equation

See attached file.