How Much Charge Can Be Stored in the 1.0-ãžâ¼f Capacitor Rated at 250 V?
Capacitor - Free energy Stored
The piece of work done in establishing an electric field in a capacitor, and hence the amount of free energy stored - can be expressed as
W = ane/2 C U2 (one)
where
West = free energy stored - or work done in establishing the electric field (joules, J)
C = capacitance (farad, F, µF )
U = potential difference (voltage, V)
Capacitor - Power Generated
Since power is free energy dissipated in time - the potential power generated past a capacitor can exist expressed as
P = dW / dt (2)
where
P = potential power (watts, West)
dt = dissipation fourth dimension (s)
Example - Capacitor, energy stored and power generated
The energy stored in a ten μF capacitor charged to 230 V can exist calculated every bit
W = ane/2 (x 10-6 F) (230 V)two
= 0.26 J
in theory - if this free energy is dissipated within 5 μs the potential power generated can exist calculated as
P = (0.26 Joules) / (5 10-6 s)
= 52000 W
= 52 kW
Exist aware that in whatever real circuit, belch starts at a peak value and declines. The energy prodigal is a very rough average power over the discharge pulse.
Capacitor - Time to Discharge at Constant Power Load
The time to belch a capacitor at constant power load tin can be expressed as
dt = 1/ii C (Us 2 - Uf 2) / P (iii)
where
dt = discharge time (s)
Usouthward = start voltage (5)
Uf = final voltage (Five)
Source: https://www.engineeringtoolbox.com/capacitors-energy-power-d_1389.html
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