There are two important things to know about charging lead acid batteries.
- There is very very deep and arcane* magic involved, without the knowledge of you are doomed to miserable failure. (*But not necessarily dark).
- The magic has been very well investigated over 100+ years and there are exponents of the deep and arcane arts willing to share with you most (not all) of the secrets. If you are serious about your quest you should avail yourself of their expertise. If not, just take the red pill.
If you read what the masters say and follow it, your battery's life, and maybe your own as well, will be a long and successful one.
If you fail to diligently study the advice of the masters then you may get lucky. But, probably not.
Below I point you to the beginnings of your lead-acid journey, but as I do so I'll note:
Starting with "A Car Battery" [tm] is not the ideal way to meet your objectives. While it is possible to make a car battery last much longer than it would have without suitable care, it will not last anywhere near as long as batteries made for the task that you have in mind.
Car batteries may tend to contain stuff like antimony - because it makes them more resistant to physical abuse. Batteries that wish to live long and prosper (but that are less worried about mechanical abuse) may contain calcium because eg of its effect on self discharge rate .
It is unlikely that you will buy an off the shelf charger that really does what you want unless the sales pitch/blurb specs spell out that it does what you want in some detail. Most chargers are liable to do the basic charging thing and may be designed to "float" the battery. Any thought of equalization / topping cycles et al are usually far from their minds, as sales rather than performance are a priority.
Good does not have to be horrendously expensive (but can be). But, incredibly cheap is also usually "cheap and cheerful".
Here is a superb starting place:
How Lead Acid Batteries Work by Constantin Von Wentzell.
Note that his interest is "Marine Batteries" for use in his boat. The usage patterns of his application differ from yours.
His: fast charge, deep, often daily discharges, float when charged versus,
Yours: long term float with occasional deep discharges.(). Despite this he has much to say that is useful and valid.
If you read outside this page you will see that he started his investigations due to very bad advice given by a person whose positions in the industry would lead you to expect his advice to be good. But it isn't. ie "appeal to authority" is risky. Accept that an expert should know much, but also use your brain and consult multiple experts.
This site was referred to by a stack exchange member today - I has not seen it before [This is such a good page that it is plagiarized in many other places to help vend ads. If you see it elsewhere be sure not to buy the products advertised.)
Follow the arrows and read. Once suitably informed have a look at the next level up. He has links there to a number of other good resources.
THEN
All battery roads lead to Battery University.
They don't know everything, & not everything they say is correct - but you may never notice the flaws! :-). A good site. ( They note: "Sponsored by Cadex batteries".)
You should glance at their top level Learn about batteries page to get a feel for the scope of the site, and then leap into.
Charging lead acid .
DO note the subject menu on the left side of the page.
From the above page:
Charge in a well-ventilated area. Hydrogen gas generated during charging is explosive.
Choose the appropriate charge program for flooded, gel and AGM batteries. Check manufacturer’s specifications on recommended voltage thresholds.
Charge lead acid batteries after each use to prevent sulfation. Do not store on low charge.
The plates of flooded batteries must always be fully submerged in electrolyte. Fill battery with distilled or de-ionized water to cover the plates if low. Tap water may be acceptable in some regions. Never add electrolyte.
Fill water level to designated level after charging.
Overfilling when the battery is empty can cause acid spillage.
Formation of gas bubbles in a flooded lead acid indicates that the battery is reaching full state-of-charge (hydrogen on negative plate and oxygen on positive plate).
Reduce float charge if the ambient temperature is higher than 29°C (85°F).
Do not allow a lead acid to freeze. An empty battery freezes sooner than one that is fully charged. Never charge a frozen battery.
Do not charge at temperatures above 49°C (120°F).
OR
You could just buy a charger that claims to do all the things that these and other pages say a charger should do. But, you'd know a lot less :-).
Example of A plagiarising ad server ripping off this sites copyright material. And again more plagiarism and yet again.
Better: A site acting as if it is a search engine and accumulating related sites to try and sell ads - actually useful - Performs a service and no copyright infringement.
A good place to answer many battery questions is Battery University. They discuss a range of things on lead acid and many other battery technologies at various places on their site.
You could look at their Charging lead acid page to start but for completeness should have a look at the site from the top level to see what else is relevant.
Note that battery capacity is stated in Ah (ampere hours) or Wh (Watt hours).
Wh = Ah x Battery_Voltage.
A "rule of thumb" is that lead acid batteries should not be charged at above the C/10 rate. but in fact far higher rates are acceptable in many cases if due care is taken. For 2.3 Ah C/10 = 230 mA and for 250 Ah BATTERY C/10 = 25A.
Other concerns are type of lead acid technology, which affects final voltages. You need to read up on float voltage, topping cycles (not related to Space Shuttle main engines) and equalisation. Those aspects and more are covered on the battery university site.
From the above 'Charging lead acid' page:
Figure 4-4: Charge stages of a lead acid battery
The battery is fully charged when the current drops to a pre-determined level or levels out in stage 2.
The float voltage must be reduced at full charge.
During the constant-current charge, the battery charges to 70 percent in 5–8 hours;
the remaining 30 percent is filled with the slower topping charge that lasts another 7–10 hours.
The topping charge is essential for the well-being of the battery and can be compared to a little rest after a good meal.
If deprived, the battery will eventually lose the ability to accept a full charge and the performance will decrease due to sulfation.
The float charge in the third stage maintains the battery at full charge.
The switch from Stage 1 to 2 occurs seamlessly and happens when the battery reaches the set voltage limit. The current begins to drop as the battery starts to saturate, and full charge is reached when the current decreases to the three percent level of the rated current.
A battery with high leakage may never attain this low saturation current, and a plateau timer takes over to initialize the charge termination.
The correct setting of the charge voltage is critical and ranges from 2.30 to 2.45V per cell. Setting the voltage threshold is a compromise, and battery experts refer to this as “dancing on the head of a needle.”
On one hand, the battery wants to be fully charged to get maximum capacity and avoid sulfation on the negative plate; on the other hand, an over-saturated condition causes grid corrosion on the positive plate and induces gassing.
To make “dancing on the head of a needle” more difficult, the battery voltage shifts with temperature. Warmer surroundings require slightly lower voltage thresholds and a cold ambient prefers a higher level.
Chargers exposed to temperature fluctuations should include temperature sensors to adjust the charge voltage for optimum charge efficiency. If this is not possible, it is better to choose a lower voltage for safety reasons. Table 4-5 compares the advantages and limitations of various peak voltage settings
See above page for table and very substantially more information.
Best Answer
If it's a 4.5 Ah capacity battery, then it's 4500 mAh--not a 9000 mAh capacity battery. You should search online for how to properly charge a LA battery. Battery University will provide you with all of the info that you need.
re: "...you can charge a lead acid battery by just connecting it to a voltage supply equivalent to what its voltage would be if it was fully charged and wait till the amperage pulled approaches 0"
You are not completely correct. It is possible to build a charger that will provide too much charge current. To be safe, you should also ensure the charge current is limited to what the battery spec sheet specifies. You should also follow all safety precautions when charging LA batteries as hydrogen gas is explosive if not managed properly.
re: "is this battery dead or can it be recharged and brought back to its previous state?" You will have to charge it properly to answer that question. If it hasn't been suflated for too long, it might be possible to restore the batt.