It depends. But it's easy to determine. First, how many amp hours does your battery have? If you have a RV/marine deep cycle that looks about the size of a car battery, it probably has a capacity of around 100 amp hours. To prolong battery life, and also because your voltage will drop pretty by then anyway, you don't want to run the battery down more than 50%. That means you have 50 useable amp hours.
The fridge runs at about 10 amps, non-stop, whenever the switch is in the "on" position. So if you stop for an hour for a bite to eat, see the sights, etc., you use 10 amp hours, which is 20% of your useable battery capacity. Stop for another hour later in the day, and you've used 20 amp hours, or 40% of your capacity.
As far as the TM getting power from the TV, there seem to be 3 types of vehicles:
1) those that can run the fridge AND recharge your battery
2) those that can run the fridge OR recharge your battery, but not both simultaneously
3) those that cannot supply enough power to fully run the fridge; thus, the fridge consumes some battery power from the TM and some from the TV
I have a Toyota Sequoia, and a battery monitor on the TM, and I can quantitatively say the Sequoia falls into category 2. If I start with a fully charged battery, the fridge can be powered by the Sequoia as long as the Sequoia is running. When I stop, however, the fridge is powered by the TM battery, and since the Sequoia cannot recharge the battery and power the fridge, that power is permanently lost during the trip until I can plug in somewhere. For me, since we don't use hookups, a generator, solar panels, or even a large mouse wheel, that doesn't happen until we get back home.
Thus, I installed a switch accessible from outside that turns off only the fridge and the fridge fan. We use it if we stop for more than a few minutes. Pulling the main fuse isn't an option for me as it is located in the rear compartment on the SL models.
Dave
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2000 2720SL & 2007 3124KB
2005 Toyota Sequoia
Twin Battle Born 12v 100Ah LiFePO4 (BBGC2) batteries, 300W solar on rear shell, Link 10, Lift kit, Maxxis 8008 225 75/R15 E tires
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