AC/DCdude17 said:

I don't understand your reasoning. Voltage does not drop exponentially

as a function of stored energy.

The function looks like voltage = square root of stored energy.

From the Random House Webster's Unabridged Dictionary:

ex·po·nen·tial (ekÅsp$ nenÆshÃl, -spÃ-), adj.

1. of or pertaining to an exponent or exponents.

2. Math.

a. of or pertaining to the constant e.

b. (of an equation) having one or more unknown variables in one or more

exponents.

-n.

3. Math.

a. the constant e raised to the power equal to a given expression, as e^3x,

which is the exponential of 3x.

b. any positive constant raised to a power.

[1695-1705; EXPONENT + -IAL]

Since the capacitor voltage is proportional to the square root of its

stored energy, its voltage has a exponential relationship with the

aforementioned energy and vice versa. Certainly it is not a linear

relationship. Ratch