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The energy stored in a capacitor can be expressed as
W = 1/2 C V2 (1)
where
W = energy stored (Joules)
C = capacitance (Farad)
V = potential difference (Voltage)
Since power is energy dissipated in a time - the potential power generated by a capacitor can be expressed as
P = W / t (2)
where
P = potential power (Watts)
t = dissipation time (s)
The power stored in a 10 μF capacitor charged to 230 V can be calculated as
W = 1/2 (10 10-6 F) (230 V)2
= 0.26 Joules
If the energy is dissipated within 5 μs the potential power generated can be calculated as
P = (0.26 Joules) / (5 10-6 s)
= 52000 W
= 52 kW
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