Thursday, May 24, 2012 at 08:17
The image below shows the approximate state of charge of a lead acid battery shown by Voltage.
Ideally the battery needs to rest for an hour or more before you check the Voltage, but it can be used as an indication before this.
As per below, at 11.3 Volts there is only around 10% capacity left in the battery.
Also as P2D2 said, the Voltage of the battery will drop when the Fridge tries to start, there will also be some Voltage drop through any wiring inside the Thumper, Thumper to Fridge wiring and wiring inside the Fridge.
These two factors are probably combining to stop the Fridge on it's Voltage cut-out.
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