A system comprising a weakly connected superconducting ring inductively coupled to a resonantL‐Ccircuit has been studied using an analog computer. The weak link was characterized either by a current‐phase relation of the formI=Icsin&jgr; or by ``supercurrent breakdown,'' and the results were compared. The effects of a normal resistance shunting the junction were investigated, as well as the effects of thermal current noise in the ring. Some criteria for achieving optimum coupling to the superconducting ring are discussed.