A Simple Proof that Moving Current Loops are Electrically Polarized G.R.Dixon
When E E Or,
Imagine a positive, circular line charge of radius R, at rest in the
xz-plane of K and centered on the origin. Superimposed is a negative line charge that circulates clockwise, looking down from positive y. Together the two charges constitute an uncharged current loop with
Construct a pillbox that encases part of the
yz-plane, with all internal z<0. Let the periphery coincide with a magnetic field line. It is clear from
Eq. 2 that Repeating this exercise with all pillbox internal points at z>0, there is an inward flux and excess negative charge. If a similar pillbox is constructed in the
xy-plane with x>0, then Summarizing, a current loop which is uncharged in its rest frame is electrically polarized in other frames (at least when the loop’s velocity lies in its plane). As suggested in
another article, this result is consistent with the computation of each positive and negative line charge increment’s position in K’ at the single instant t’=0 (or at any other instant in K’). Similar remarks would apply to a current loop of pure positive or negative charge, although in this case Comments? mailto:noxid100@cox.net |