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Reactance does not consume power
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A coil or capacitor cannot dissipate power. The only thing that such a component can do is store energy and then give it back to the circuit a fraction of a cycle later. In real life, the dielectrics or wires in coils or capacitors dissipate some power as heat, but ideal components would not do this. A capacitor, as you have learned, stores energy as an electric field. An inductor stores energy as a magnetic field.
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True power, VA power, and reactive power 309 A reactance causes ac current to shift in phase, so that it is no longer exactly in step with the voltage. In a circuit with inductive reactance, the current lags the voltage by up to 90 degrees, or one-quarter cycle. In a circuit with capacitive reactance, the current leads the voltage by up to 90 degrees. In a resistance-reactance circuit, true power is dissipated only in the resistive components. The reactive components cause the VA power to be exaggerated compared with the true power. Why does reactance cause this discrepancy between apparent (VA) power and true power In a circuit that is purely resistive, the voltage and current march right along in step with each other, and therefore, they combine in the most efficient possible way (Fig. 17-4A). But in a circuit containing reactance, the voltage and current don t work together as well (Fig. 17-4B) because of their phase difference. Therefore, the actual energy expenditure, or true power, is not as great as the product of the voltage and the current.
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17-4 At A, current (I) and voltage (E) are in phase in a nonreactive ac circuit. At B, I and E are not in phase when reactance is present.
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True power, VA power, and reactive power
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In a circuit containing both resistance and reactance, the relationships among true power PT, apparent or VA power PVA, and imaginary or reactive power PX are PVA2 PT2 PX2 PT < PVA PX < PVA
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If there is no reactance in the circuit, then PVA PX PT 0
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310 Power and resonance in ac circuits Engineers often strive to eliminate, or at least minimize, the reactance in a circuit. This is particularly true for radio antenna systems, or when signals must be sent over long spans of cable. It is also important in the design of radio-frequency amplifiers. To a lesser extent, minimizing the reactance is important in audio work and in utility power transmission.
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Power factor
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The ratio of the true power to the VA power, PT/PVA, is called the power factor in an ac circuit. If there is no reactance, the ideal case, then PT PVA, and the power factor (PF) is equal to 1. If the circuit contains all reactance and no resistance of any significance (that is, zero or infinite resistance), then PT 0, and PF 0. If you try to get a pure reactance to dissipate power, it s a little like throwing a foam-rubber ball into a gale-force wind. The ball will come right back in your face. A pure reactance cannot, and will not, dissipate power. When a load, or a circuit in which you want power to be dissipated, contains some resistance and some reactance, then PF will be between 0 and 1. That is, 0 < PF < 1. PF might be expressed as a percentage between 0 and 100, written PF%. Mathematically,
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When a load has some resistance and some reactance, a portion (but not all) of the power is dissipated as true power, and some is rejected by the load and sent back to the source as VA power.
Calculation of power factor
There are two ways to determine the power factor in an ac circuit that contains reactance and resistance. Either method can be used in any situation, although sometimes one scheme is more convenient than the other.
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