For those of you interested, this is now the more accurate calculation of the off-axis magnetic field strength in the z-axis from a loop lying in the x-y plane. I finally implemented the elliptic integrals of the first and second kind (had to write my own function) For reference the equation is listed here: http://www.netdenizen.com/emagnet/offaxis/iloopoffaxis.htm
The x-axis of these graphs are distances away from the center of the loop, or axis, and the distance is normalized to the radius of the loop. So a x-axis value of 1 means we are above the circumference of the loop, a value of 0 means we are in the center. The different curves are for different HEIGHTS above the loop, corresponding to a gap between a magnet and coil. The reason I'm simulating these curves is to show you that the farther you are away from the loop, the sharper the magnetic field peaks get, and the closer you are (or a smaller the gap) the flatter the magnetic field peak get (example at h=0.45) and any closer than 0.45 and we start to develops those overshoots on top of the peaks. Remember this is for a current loop, not for a magnet, but the same thing happens with a magnet, i.e. the closer we are to it the wider that peak gets. So next I'll do another differentiation of one or two of these loops so you get the idea of how those "flat spots" in the voltage waveform develop. I'll choose the flux curve at h=0.45 and h=1.0 for comparison; EM
« Last Edit: 2011-06-28, 22:42:33 by EMdevices »
|
Author
Topic: Romerouk's Muller Replication (Read 510654 times)
