Gotta figure there was a heckuva surge current when that cap shorted.
The good news is that the humming sound suggests the transformer is still operating.
Can't find any tech info on what's inside. Back in the 50's and 60's, a "Battery Eliminator" was a filtered, mostly unregulated DC power supply.
But yours has a four-digit model number, which implies a 1970s product. Makes me wonder if it isn't regulated, maybe? My "IP-2718" has three separate regulated outputs. Doesn't say "battery eliminator", says "Triple output regulated, or some such.
Makes me think that if it's really regulated, it would say that, wouldn't it?
What would normally blow out from a short on the output is one or both of two things.
The rectifier. REALLY old units from the 50s and 60s used selenium rectifiers. And they would tend to stink when they failed. Don't think yours is this old.
Some brands would use a bimetal thermal-cutout switch. Usually a glass bulb with two wires, and the bimetal strip visible inside. These are supposed to 'self-reset' and kick back on after they cool off. The surge from the short may have smashed it.
Age. That capacitor was an electrolytic. Only meant to last ten or 20 years, tops. Gotta figure your specimen is 30 or older.
73
