The only options I see is get a new panel that is not a Eaton BR, Eaton CH, Siemens
You have 2, options, 1) buy the same POS panel & rob the interior for parts, 2) replace the whole panel, Eaton CH, Siemens, or SQ D Homeline are good choices.
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If swapping interiors is chosen the circuit...
A GFCI is code recognized for replacement of non grounding receptacles, but the test button will not function with out a equipment grounding conductor connected.
You cannot extend a existing 3 wire dryer receptacle, it has to be brought up to current code, they are only permitted in existing locations, no extensions or relocation.
If the feed is NM cable "Romex®" you will need to pull a new cable from panel, if is in pipe it might be possible to add a neutral but might not be easy, just running a neutral by it's self will not be code compliant.
The 2023 NEC has only been adopted by 5 States, so unless one is in CO, MA, MN, WY, or TX, might be still a bit premature to quote the 2023, Massachusetts always is first to adopt in the January of the year it comes out.
Do you have capacity to handle a tankless? Some models require up to 3-40A feeds to supply them, which could mean a upgrade of the service, I hate propane but I would consider it.
At one time non metallic sheathed cable commonly known by the brand name "Romex®" formerly made by General Cable, now made by Southwire, had a 16 AWG ground wire in 12 and 14 AWG sizes, sometime after the adoption of the 1968 NEC, it was required that the grounding conductor in 10,12,14, AWG...
General Switch does not exist anymore either, last time I saw their brand for sale is when I stopped in a home center in Texas in early 2000 & saw their panels being on clearance. That fusible panel is old, by the late 1970's fusible panels were removed from the manufacturers catalogs
The old cable was AC, not MC, they each have their own NEC articles, and installation requirements, one difference is AC requires the use of anti short bushings, & MC does not, & older AC cable without a bond strip is not suitable for grounding, in a fault the armor could be glowing red if it is...
It would only be required if was prewired for a fan, but a good idea anyway, even if not wired for a fan/light someone will hang one even on a plastic box, bloody tenants hung fans off cut in boxes rated for fixtures 5 pounds max, ticked me off since they had no business messing with the wiring...
Eaton BR is OEM for Challenger, notice the 2 catalog numbers on Eaton BR breakers, BRxxx, & Cxxx, a 20 ampere single pole would be BR120, & C120, the "C" is for Challenger.
The NEC does not permit paralleling conductors smaller then 1/0 see NEC article 310.10 (H) (1), which is what is being done, only way to be code compliant is to use larger conductors, and then 250.122(B) kicks in and you have to increase the size of the grounding conductor proportionately in...
It looks like the receptacle is miswired, it never should have been changed to 4 wire, as there is no grounding conductor and doofy the wannabe electrician connected the neutral to the grounding terminal, a 3 wire dryer cap is a dual voltage non grounding device, the landlord should have it...
The fridge is permitted to be on a kitchen small appliance branch circuit 210.50(B)(1) NEC 2017 edition. Unless working in a area that has amended the NEC to be more stringent.
110 & 220 volt were obsolete before the 2nd world war, as long as it is not a disconnect it is allowed only break one leg of a 240V circuit, it is quite common in air conditioning condenser units, that being said I would use a 2 pole switch rated for the motors horsepower.
While this reply is a little late, that is what I meant by ones that comply with local standards, the biggest problem would be threads, most US lampholders use a 1/8' NPT thread.
Pretty common way to do it, although here in CA, a 400A meter main with two 200A breakers are normal some even have a 40 space panel fed from one of the breakers.
Looks like a old pump panel, most older ones had no neutral. Years ago had to use a transformer to get temp 120 volt power off a 240V 3 phase 3-wire service for a AG pump, the 3rd leg (high leg) was not even metered. More details are required.
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