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...BIG difference between a CAP and a BATTERY--the battery is basically a 'constant-voltage' source while a capacitor is not, so as a battery is depleted, it's voltage remains basically constant but its ampere output declines; whereas with a capacitor BOTH its voltage and amprere capacity declines as its energy (Ws or Joules) is used.
...one definition of "energy" storage in a capacitor is given by:
Ws = J = (1/2)*(C*I^2)
...where:
Ws = Watt·seconds (US)
J = Joules (Metric)
C = Capacitance, in farads
I = Current, in Amperes
...it's the constant-voltage (CV) nature of batteries that make them better at LONG-term energy storage, but the non-voltage nature of capacitors make them better for INSTANTANEOUS storage of unknown voltage "pulses" (so that ALL of the energy "content" is captured, and not truncated above some voltage threshhold).
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