# Magnetic field of current ribbon

1. Sep 15, 2010

### levicivita

1. The problem statement, all variables and given/known data
Hello,

I'm wondering what is the best way to go about calculating the magnetic field generated by an infinite current ribbon of width 2units, with current j = exp(wti), w = omega, t = time. The wavelength associated with the oscillation is 1unit.

3. The attempt at a solution
My current method would be to calculate the magnetic field due to an infinite wire with the same current, and integrate to get that for the entire ribbon. However, I am given the x-component of the magnetic field, which is in the form of a fourier integral - so I'm wondering if there is an easier alternative method (as this seems to suggest), and if I can derive the y-component in a similar fashion.

I think part of the reason why I am struggling with this is because the problem is expressed in complex exponentials, so if anyone can shed some light on this I would really appreciate it!