On Wed, 10 Jun 2009 21:44:07 -0500, Jim Battle wrote:
> Not really. For a given technology, the volume is
roughly linearly
> related to the product of the capacitance and voltage.
That doesn't make sense. energy = 1/2 * C * V^2.
You are saying if you
double the size of the cap you can handle double the voltage, but that
means four times the energy. That isn't right. It is the stored energy
that is linear with the size of the cap (roughly).
I agree that you can double the capacitance if you
double the volume,
which means doubling the stored energy. Great. This is demonstrated by
wiring two "x" farad caps in parallel.
But if you wire them in series so they can handle twice
the voltage, the
capacitance is also cut in half. E = 1/2 * (1/2 C) * (2V)^2, which
works out to double the 1/2*C*V^2.
Peek working voltage is determined by the strength of the dielectric not the surface area
of the plates.
The thinner the dialetic (insolator) the greater the Capacitance with a resulting lowering
of the max working
voltage given the reduced insilation.
The other factor for determing the the working voltage is the amount of heat generated
from leakage due to
internal resistance, which is also directly related to the insulator used ans its
thickness. The leakage
current for a given dielectric goes up with the voltage. I=E/R Tells us given a fixed
leakage as the voltage
goes up so does the current, so if both the I and the E both go up then the power (watts
to be dissipated)
has noware to go but in the form of heat. Often with a big bang if the overvoltage or the
breakdown of the
dialetic are extream.
Using activated carbon or better yet nano tubes as plates and an unspecified molecularily
thin super
insolator, we double-layer supercapacitors measured in Farads the size of your thumb.
The semiconductor industery showed us how by making the insolation layer very, very thin
we could bulid
on chip capacitors with microscopic plate areas.
So given the previous examples in this thread are we talking, waxpaper and aluminum foil,
silver plated
mica, oil filed, or super-capacitors ?
The other Bob