You say non-armored cable. I assume your cable has a concentric or taped neutral ground shield over the insulation around the conductor. If this is the case, it is not unlike every other cable that is hipoted: apply the test voltage between grounded shield and the disconnected conductor. The previous answer cited the test spec for IEC testing standards - 5 minutes. That is assuming the use of power frequency 50/60 Hz AC voltage is used. If VLF 0.1 Hz. AC voltage is the source, the the IEEE400.2 or IEC guidelines should be followed. The test will be for 30 - 60 minutes.
If your cables are non-shielded low voltage cables, say 600 volt rating, then there is little that can be done to field test the using an AC withstand method except for hipoting phase to phase and all three to any possible grounded raceway or conduit they may be in. More info is needed to provide a better answer int his case.