I am using an rx200 at about 100W with a .13 ohm coil it pulls about 27 amps and runs at 3.61v are the Sony VTC6 a good
batteries to use in this application
1) The 27amps, that is a misleader reading, especially to new vapers or vapers new to mods, that reading on the screen is the amps being pushed from the mod control board to the coil of the
tank/atomizer, not the amps being pulled from the batteries to power the control board which is the important number, and can only be calculated one of 2 ways.
18650 batteries operate safely between 2.5v absolute lowest to 4.2v absolute maximum full charge, most mods like the RX200 kick a battery error or shutdown in the 3.0 to 3.2v range. Key for a regulated mod like the RX200 is that error/shutdown voltage, and that is per battery. The RX200 is a series battery configuration which gives voltage X #of batteries, so using 3.2v lowest, 3.2v X 3 batteries = 9.6v lowest available voltage.
Formula #1 is (Watts Set/Lowest Available Voltage/90% Mod Control Board Efficiency Rating= Maximum Amps from the batteries), example using your wattage setting
100watts/9.6v/90% (or 0.9)=11.5741amps maximum
Fomula #2 is quite similar but narrows down per battery (Watts Set/Number of Batteries/Lowest Available Voltage for a single battery/90% Efficiency=Maximum amps per battery), example using you same watts
100watts/3 batteries=33.33 watts per battery
33.33watts/3.2v/90%=11.5729maximum amps per battery
The Sony VTC6 is a fine battery in your application as it is Manufacturer rated at 15amps Continuous Discharge, Mooch our resident battery torturor and tester tested them to handle 19amps Continuous, so 11.6amps is well within the VTC6's specs and perfectly fine in your application.
On a regulated mod, your Ohms really don't play much of an impact on their safety as the coils in the tank/atomizer only see the control board feeding them, not the battery, so there is a regulator inbetween the batteries and coils, unlike a mechanical/unregulated mod where the coil is directly connected to the battery in the circuit. On a regulated mod, Ohms only come into play in these two instances
1) Button is fired, control board reads the resistance of the coils (Ohms), if Ohm reading is within the programmed minimum and maximum safest resistance reading, go to next stage, if under minimum safest resistance, kick error and do not fire
2) Take resistance reading, check set watts, calculate needed voltage to reach set watts, connect circuit and fire.