THe answer depends on many things. PRIMARLY the make and model of your power converter
Converters. for this discussion, come in 3 flavors.
Very low power ones that are designed to charge the battery but only when not everyting is calling for power.. THey can't provide for all the needs. WIth this type of converter if the batteries are very hungry they may (For at least a few hours) Suck it all up and not leave anything for the "House".. Solution wait 2-4 hours.
Converters that sense the presence of a battery and if none. SHUT DOWN.. Solution, charge with a different charger'
Conterveters that have teh OOMPH to overcome totally dead batteries (Mine are 80 and 100 amp.. The 80 is still working, and can do that for most loads)
FInally there is the defective converter
Test.. Disconnect NEGATIVE battery cables and see if things work. IF so it may just be too small a converter.. (Lights only for testing please)
Finally two ways to wire the converter
Battery--Fuse--Switch--Fuse block--Converter
Converter-Fuse--Switch--Battery-Fuse----Fuse block
NOTE that jacks (On 5th wheels) often connect to the BATTERY side of the switch,
