Magnetic field inside square conductor

[Endurance]

Hello everybody,

I got a small question and was wondering if somebody could help me with that.

Problem:

I have a square conductor with side length m. I am now trying to figure out what the magnetic field B is at any point inside that square.

Here is what I've come up with so far and I think I am pretty close:

The magnetic field at the center is B=(4*u_0*I)/4pi*a)*(cos(pi/4)-cos(3pi/4))

where a=m/2 and u_0= the permeability of free space

But how could I change this now to give me the B field for any point x,y inside that loop?

Thanks,
Endurance

 

[Endurance]

Is this too advanced for this section? Do I maybe have to post this in the Physics with calculus section?