Coppertops vs. Car
Batteries
1.
Voltage Comparison
This is very simple. Our triple A cell has a nominal
voltage of 1.5V, meaning eight AAA cells can
approximately equal the voltage supply of a car
battery. This is a strong initial note to start the
analysis on, because if voltage supply was the only
remarkable issue preventing the replacement of car
batteries with copperheads, we have addressed the
problem. But it is plainly evident that this is not
the case.
2. Lifespan
Here, it is uncertain what the effective amperage
hour rating of our 8 AAA cell arrangement would be.
They are intolerant of increased current, but, if we
assume each battery supplies 100 mA, we might see a
service life of ~nine hours at 800 mA, idyllically,
or, about 7.2 amp hours.
This, compared to the ~45 amp hours you might draw
from a car battery, is immediately lackluster. But,
it would merit saying that. while we have
technically matched the voltage output of a car
battery, I did so without considering the raw volume
of that single cell versus our eight AAA cells. For
reference, our 8 cell substitute weighs 88 grams.
The solution to this problem is to lay the cells in
parallel, reducing the current run through each
individual battery and improving their performance,
while also drastically increasing lifespan. To match
a car battery, I work with my initial flawed
assumption and divide (car cell amp hours/AAA amp
hour estimate) which equals 4.5. Rounding down, we
now have an 8x4 arrangement, and if we assume a
current of 2 amps, with each individual battery
bearing a current of 500 mA, we now see that the
arrangement should last about one hour when we take
into account the performance of a AAA at various
currents versus 22.5 from the car battery.
Fortunately, adjusting this to a practical
performance level from here is simple.
We start with two knowns. Our cell arrangement must
be able to provide ~2 amps for about 22.5 hours.
This means our current through any one of the
parallel cells should not exceed 50 mA. dividing
2000/50 we get 40. So, an 8x5x8 cell arrangement,
about 320 AAA cells weighing 3.52 kg, will
comfortably match.
3. Amperage
draw
A perhaps too modest car battery draws maybe 300
amps, shorted. This performance is substantial, for
the operation of the spark plug, so our AAA amalgam
must be able to roughly match this.
A single AAA with an impedence of 250 mO has a
shorting potential of about six amps, which, like
the car battery, it can briefly tolerate. Each of
our forty eight battery cells has a gross impedence
of 2 ohms, for a total resistivity of 1/((1/2)*40)
ohms, which is 50 mO. 12V/.05O equals 240 amps of
draw, idyllically. So, we are about sixty amps short
of our ideal. The relationship here is plain. to
match ~300 amps of maximum draw, we increase the
number of 8 AAA cells to fifty, bringing our total
400 AAA batteries, in a 5x10x8 arrangement.