Proof
Capacitive Reactive Power is Always Negative.

Actually, the above title does not make sense. The real meaning is:

"Capacitively generated reactive power is always negative."

The reactance of a capacitor is XC = –1/ωC.

Assuming that frequency, ω, and capacity, C, are always positive, which is conventionally the case, then capacitively generated reactance is always negative.

Now the resulting reactive power is Q = |VRMS|2/XC.

Thus since XC is always negative, capacitively generated reactive power is also always negative.

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