Question

I need to find the equation to find the magnetic field inside a current carrying loop. All I can find is the equation at the center, I need it to be at any point along the x axis.

Answer 1

okay, well the equation for a magnetic field generated by a current through a conductor is \[B = \mu_0 I /2\pi r\] at a point P a distance r from the conductor. Now, you can do an integration around the loop remembering that the direction will be perpendicular to the radius vector from the conductor. The actual integration depends on the location of the point and the shape of the loop. If it is rectangular it is best to do seperate integrations for each side, if it is circular you could integrate around the entire thing. Look for symmetry in the loop to aid you in the integration, because you could simplify it.