Convert $/Ah to $/kWh: Simple Explanation

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To convert the price of battery cells from $0.76/Ah to $/kWh, multiply the amp-hour rating by the voltage, which is typically around 3.6V for these cells. The formula to calculate kWh is Ah * V, but it's important to account for variations in voltage and the specific discharge rate of the batteries. Additionally, the discussion highlights that the Ah rating is not constant and can change based on discharge conditions and temperature. A practical example shows that a 100Ah battery at 12V delivers about 1.2 kWh, costing approximately 12 cents per hour based on current electricity rates. Understanding these factors is crucial for accurate cost assessments in battery usage.
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It has been years since my college physics class and I'm struggling to get an answer that makes sense. I'm trying to convert the price of battery cells from $0.76/Ah (for a 2.8-3.0 Ah battery cell) assuming 3.6 V to $/kWh.

This is likely really simple, but I really want to understand how to do this.

Thanks!
 
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Amps are Coulumbs/sec (so Ah would be a measure of columbs)
Volts are Joules/Coloumb
so to get KWh (which is joules) You'd take Ah*V
 
cpscdave said:
Amps are Coulumbs/sec (so Ah would be a measure of columbs)
Volts are Joules/Coloumb
so to get KWh (which is joules) You'd take Ah*V

there's an unaccounted for "kilo" in there somewhere ?
 
Also realize that the voltage is not a constant 3.6V. Look at the discharge curves for the batteries you are considering. Also, the Ah rating is at a particular specified discharge rate only. (and temperature)
 
amp hours are used for volume of a battery. ex: 9v Duracell = 500ma/hr. which only means the battery will produce 500ma for one hour. or 100ma for 5 hrs. you had dollar signs so I can only take that as what would the cost be in dc battery output compared to alternating commercial supplied current. using 500ma is too small so figure a couple 50AH car batteries. last time I checked one kwh (AC) was about ten cents a kwh. so your 100AH batteries deliver (12 x 100) = 1200 or about 12 cents per hour. By the time the trickle charge was done you probably would have spent 3 times that amount. and that doesn't account for what bigguy said about curves, drop, etc.
 
jim hardy said:
there's an unaccounted for "kilo" in there somewhere ?

Opps there is indeed :) Only off by 10^3 that's a good day for me :D
 
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