I only use battery power at nite because battery power is expensive! That's why I want to reduce the current.Fun fact. Boiling water draws 10x more energy density than lead acid batteries can store.
It takes at least 1700 kJ/kg to boil water from 25'C.
Car batteries might hold about 180 kJ/kg of energy.
So the battery might weigh 10x more than the water to boil it. Is that Ok?
I thought @crutschow 's solution of a large run cap sounded good until you compare 120V/6A= 20 Ohms with a 10 uF Run cap at 60 Hz is 265 ohms. But Princess Auto (CDN) has big 50uF caps for $20 which might still not boil water.
A 10A diode might work and drop the nichrome heater current 50% but the controller might not work and the inverter might make some bad noises.
Max Power Transfer occurs when your inverter impedance matches to the load.
It does boil the water at half the current now, but I'm going to have to run another line to bypass the diodes, to power the fan and the timer.
