We sometimes forget to get all pertinent facts before dispensing free advice - hence the reason for my question.
Any kettle or toaster that will actually do the job is going to be around 1kW and to run that off 12V through an
inverter will drag around 100 Amps from the
battery. Probably a little more.
This means about 30 minutes to completely flatten the
battery and maybe 15 minutes to drag it down to the point where the
inverter will trip out on low voltage.
Problem is that 100 Amps out of a 100Ah
battery is about 5 times what is sensible and while you can do it for short periods, constantly battering the
battery will eventually cause damage.
Yes, adding a second
battery does reduce the battering considerably, but also at a cost - the need to get some charge into the
battery after overusing it. Those of us who do run big stuff off multiple batteries generally also have significant amount of
solar to make sure they are recharged ASAP.
As in all things RV, there are always compromises to be made - especially concerning weight of equipment and space required, as well as how deep our pockets are and how much free camping we actually do. In this case, the convenience of being able to use mains appliances may offset other limitations that will eventuate.
Regardless, gas is readily obtainable, cheap, has far higher energy-density than batteries and is nearly always the smartest way to heat food, water or living space.
As for hair drying! The Mia Farrow look is back in style, so hair drying is a breeze - literally - and the shower drain doesn't get clogged up either.