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No, a capacitor in a circuit will not increase power. The capacitor is an electrical component that is used to provide resistance to a change in voltage. That's what capacitance is; it's how we define it. A capacitor (cap) can also be used to "couple" or "transfer" an AC signal in a way that isolates any DC component. Capacitors are used in waveshaping circuits in electronic circuits. The are used to store charge to "smooth" the output of a power supply. In power distribution systems, they are employed for "offsetting" the phase shifts introduced by the large number of inductive loads (like motors) on these circuits. And this things are just a start. Capacitors do not increase power in a circuit. They "give back" to a circuit, but only after "taking from" the circuit at another time. They are what is called a reactivecomponent, but they are passive. They don't "make" power and put it in a circuit.

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