Sounds as if the FAU is gas. If so, the following from UL might prove interesting in regard to the plug:
(As far as the condenser, lets see what the nameplate shows._)
[FONT="] The basic standard used to investigate the refrigeration portion of the products in this category is [/FONT][FONT="]
[FONT="]ANSI/UL 1995[/FONT][/FONT][FONT="]. The basic standard used to investigate the gas heating portion of the products in this category is ANSI Z21.47/CSA 2.3, "Gas-Fired Central Furnaces."[/FONT][FONT="]
[/FONT][FONT="]For gas furnaces, UL has few listings, and those are part of rooftop units - permanent supply connection is employed. CSA has most of the listings, as well as ETL. [/FONT][FONT="]
[/FONT][FONT="]The applicable standard, ANSI Z21.47/CSA 2.3, Gas-Fired Central Furnaces, is quite vague on requirements for supply connection. This is typical of the electrical requirements of all CSA gas standards.[/FONT][FONT="]
[/FONT][FONT="]This is relative to permanent wiring connection.[/FONT][FONT="]
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[FONT="]1.18.14[/FONT][FONT="]
[/FONT][FONT="]A service junction box having provisions to accommodate fittings for metal-clad cable or conduit shall be[/FONT][FONT="]
[/FONT][FONT="]provided for the permanent connection of the line-voltage supply circuit. This box shall be located on a[/FONT][FONT="]
[/FONT][FONT="]part of the assembly that does not require movement for normal servicing and adjustment.[/FONT][FONT="]
[/FONT][FONT="]There is mention of strain relief of a power supply cord:[/FONT][FONT="]
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[FONT="]1.18.20[/FONT][FONT="]
[/FONT][FONT="]Strain relief shall be provided for all conductors leaving an enclosure. For low-voltage wiring, strain relief at[/FONT][FONT="]
[/FONT][FONT="]the point of exit from an enclosure is not necessary if, by wire location or support, protection is provided[/FONT][FONT="]
[/FONT][FONT="]against accidental strain. If the furnace is supplied with an external power supply cord handling greater[/FONT][FONT="]
[/FONT][FONT="]than 50 Volts then a pull test shall be conducted.[/FONT][FONT="]
[/FONT][FONT="]Generally speaking, gas furnaces should have permanent power supply connection. But if you see otherwise, check for the certification/listing mark that is applied, and contact that agency as it likely will not be UL. Based on the vague information contained in ANSI Z21.47/CSA 2.3, "Gas-Fired Central Furnaces," if there is a statement as you indicated that a Central Furnace is not ?readily removable for repair and maintenance.? then I would concur that an AHJ could state that this type of equipment was not in compliance with NEC section 400.7(A)(8). Based on the language used in 400.7(A), this is an all inclusive list unless 400.7(A)(10) can be used such as in 422.16. With that said, even 422.16(A) based on the language would not permit this type of equipment to be connected by cord and plug since again, CSA stated a Central Furnace is not ?readily removable for repair and maintenance.?[/FONT][FONT="]
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