Current injection and collection in a rectangular superconductor

A general two‐dimensional analytical solution is presented for the problem of transport current injection from a normal conductor into a superconductor and collection back into a normal conductor. The current distribution is solved for the general case which takes in the full range from essentially point source to full‐width injection and collection. The current distribution also represents that in a split‐ring superconductor joined by a link of variable width, such as that in a Josephson junction. A comparison is made with current injection into and collection from a normal conductor. Computer calculations are included showing a virtual anomaly which is reconciled. Speculation is made regarding the formation of transport current vortices in an initially simply connected superconductor.