This post gives is a quick
derivation of the formula for calculating the steady state reactive power
absorbed by a capacitor when excited by a sinusoidal voltage source.

Given a capacitor with a
capacitance value of C in Farads, excited by a voltage source V in volts, it
will draw a current i amps into its positive terminal. If V is a
steady state sinusoidal source with frequency of ω=2πf , then we may use a Laplace Transform
to solve the circuit in the frequency domain where V is
the phasor rms voltage, I is the phasor rms current, and Zc is
the capacitive reactance in ohms of the capacitor as follows:

Note that the negative sign
means that the capacitor is absorbing negative reactive power VARs which is
equivalent to stating that the capacitor is supplying reactive power to the
external circuit or system. For a three-phase system, multiply Q by 3 to get
the total reactive power supplied by the Capacitor.

**Thank you!**

## 1 comment:

Sir, please upload a report on seminar for electrical 7th sem.....

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