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Cooking and heating water with electricity off-grid is usually impractical but there are exceptions. In some cases the relatively large power loads can be used without affecting house battery1) state of charge:
In general DC power3) is used for warming or very slow cooking. Part of this is due to the limits of cigarette lighter outputs, typically 120w (10A x 12v). The “catch-22” is that most people don't drive their vehicle sufficient hours to do real cooking off DC.
Higher power is common with AC devices but one must have the power to run it, and to recharge the battery bank afterwards.
Analog cooking appliances (knobs, not electronics) run fine off inexpensive MSW inverters.
Instant Pots are becoming increasingly common as some vandweller power systems become beefier. While convenient, they are effectively electric pressure cookers + crockpots, both of which are much less demanding of power.5)
Note: instant pots typically require more power than most vehicle-dwellers have on tap, but it can be done if one understands the issues.
Instant Pot advantages:
Crockpot advantages:
also see this post
The Instant Pot Duo mini 3qt appears to hold greatest market share amongh the small “pots”. It pulls 700w while actively heating. It is reported to run correctly off both 1000w inverters, both MSW and PSW.7)
The included 3qt cooking pot is8)
x 5
(outer, ie what cooking implements can fit inside the IP x 4.75
(inner, what can fit inside the IP's internal cooking pot)see this article
Power/time saving
Cleaning