Some properties of a model Ginzburg-Landau-like equation extended to i
nclude time-dependence and a 4-potential are investigated. Applied ele
ctric field in a ''hole'' in the bulk model superconductor oriented in
space-time so as to have cross sections in the t-z planes is shown to
lead to quantized trapped flux of a new kind, ''electric space-time f
lux'' The nontrivial space- and time-dependent solution in the bulk su
perconductor is found. Further, the analogue of the ac Josephson effec
t follows simply.