We report on a novel microwave phase shifter featuring rapid electronic adjustment, continuous phase control, true time delay operation, high device fault tolerance, and very broad-band operation. By coupling a large number of superconducting quantum interference devices (SQUID's) to a superconducting microstrip transmission line, we create a variable magnetic medium in which the wave velocity is controlled electronically. We have measured 60 degrees phase shift at 10 GHz, and wideband operation from 5 to 15 GHz for an 8-cm long Nb transmission line coupled to 1600 SQUID's, each containing a single Nb/AlOx/Nb tunnel junction. The observed phase shift corresponds to a change in wave velocity of about 1 part in 60.