A 3w PV won't charge a dead battery or serrious depleted battery in a acceptable amount of time. For solar charging I found that 15v is a realistic number on 12v systems for calculating PV wattage requirements. A 12v PV will produce more than 15v, more like 21v open voltage but that's just not a useable number to use as it will cause you to under size the actual PV wattage requirement.
So that would be 7.5v on a 6v system. At 3w/7.5v=0.4ahr(amps per hour) that the PV will charge at. That's enough to maintain the state of charge in a fully charged battery without a CC(charge controller) and without overcharging the battery. A CC is nothing more than a voltage regulator. You'll need a CC on any PV greater than 5w or the battery will over charge if given enough recharging time.
At 0.4ahr then with a PV tracking the sun (move the PV once at 1pm to face west and once at dusk to face east) then we can plan on 8 solar collecting hours in full sun, cloudy then about 1/2 of the rated amp/hr, or about 3.2amps/day output on a 3w rated PV.
If you have a typical 6v starting battery at a 100ahr capiticy, then 100ahr/(3.2a/day)=31days/2= 16days to recharge a battery that's 50% discharged with a 3w rated PV.
And yes, you would need to put a 5a diode in one leg of the PV wire to keep the battery from discharging at night.
If you run a battery much past a 50% discharge rate then it will severely shorten the battery life.
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