A mathematical model of the alternating‐current distribution for a long superconducting strip with small thickness is analyzed. The interesting feature of the model is that it is soluble. The current distribution is found from the analytic solution to a singular integral equation, and from this solution it is possible to predict the behavior of the distribution throughout a complete cycle. Previous (unpublished) work showed that purely physical arguments did not give the correct predictions for this behavior at the end of each half‐cycle. The present model overcomes this deficiency.