What is the relationship of killowatt hrs and amps and 48 volts
Solar system? Did you mean "solar panel system"?
Unfortunately, some of your other terms are also a bit off. But let's see what we can clarify.
Battery capacity (whether a single, or a bank of batteries) is measured in kilowatt hours. A bank that is rated for 3.55 KwH will produce 3.55 kilowatts for one hour (at least in theory), or 10 watts for 355 hours, or any combination therein. The average home draws about 1.5 Kw (that's *average* - day and night), but much higher during the day (electric lights, appliances, etc. all turned on). So, very roughly, your battery bank is good for a couple of hours of average use - but might handle a home all night with minimal draw.
Sorry, but your final question is not answerable. A 48 volt system is 73 amps to do a full recharge during an hour. But that's too high a recharge rate for most systems. And batteries are not 100% efficient (figure on about 120% - or it will take about 4.25 KwH to charge a battery to 3.55 KwH. So the first issue is how quickly do you want the batteries to recharge.
Panel output varies widely (as does cost). And the amount of sunshine varies not only in duration, but also amount (an hour of sunshine on a clear day in Texas is worth more than an hour of sunshine on a clear day in North Dakota - although North Dakota may appreciate it more <G>). If you want to maintain the batteries, then figure on around 250 square feet of panels - but understand that this answer could be off by a factor of two or more - just depending on conditions.
on Mar 05, 2019