According to the dometic website, the 15k A/C draws about 3a for the fan and 13a for the compressor. I don't know the starting amperage but given the breaker, it can't be beyond 20. In my 2011 international, the micro-convection draws about 8 amps. So, yes - I would assume running the two at once would trip the breaker. My worry (for the experts) is if the micro convection is in use; and then the A/C attempts to start, could the low amperage available cause compressor damage?
I already assume not to run anything else along with the A/C - I'll even be sure to switch my fridge and water heater to propane if I know I intend to use the unit.
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2011 Airstream International Serenity 28'
2016 Ford F250 Crew 4x4 KR Diesel