Anmelden

In a DC circuit, the power consumed is simply the product of the DC voltage times the DC current, given in watts. However, the power consumed for AC circuits with reactive components is calculated differently. Since electrical power is the "rate" at which energy is used in a circuit, all electrical and electronic components and devices have a safe operating range for electrical power.

In a DC circuit, there is no sinusoidal waveform associated with the supply; the voltages and currents are typically constant and do not change over time. However, for power in AC circuits, the supply affects the instantaneous values of the voltage, current, and consequently power, which are constantly changing. The AC circuit comprises reactance, which generates the magnetic or electric fields, resulting in a power component. As a result, unlike purely resistive components, this power is stored and then returned to the supply as the sinusoidal waveform completes one full periodic cycle. Consequently, the total power stored and returned over a single full cycle makes up the average power absorbed by a circuit. A circuit's average power consumption will therefore be the average of the instantaneous power over a complete cycle, with the instantaneous power being defined as the product of the instantaneous voltage and the instantaneous current.

It is challenging to measure the instantaneous power in AC circuits because it fluctuates constantly with the sinusoid's profile over time. Therefore, using the average or mean value of the power is more practical and simpler mathematically. Thus, given a fixed number of cycles, the following is the simple expression for the average value of the instantaneous power of the sinusoid:

Equation1

where cos ϕ is the power factor, which is the amount by which the power delivered in the circuit is less than the theoretical maximum of the circuit due to voltage and current being out of phase.

Tags
AC CircuitPower ConsumptionReactive ComponentsInstantaneous PowerAverage PowerSinusoidal WaveformReactancePower FactorElectrical PowerResistive ComponentsEnergy RateMean Value

Aus Kapitel 32:

article

Now Playing

32.9 : Power in an AC Circuit

Alternating-Current Circuits

1.9K Ansichten

article

32.1 : AC-Quellen

Alternating-Current Circuits

2.8K Ansichten

article

32.2 : Effektivwert im AC-Stromkreis

Alternating-Current Circuits

1.5K Ansichten

article

32.3 : Widerstand in einem AC-Stromkreis

Alternating-Current Circuits

2.4K Ansichten

article

32.4 : Kondensator in einem Wechselstromkreis

Alternating-Current Circuits

2.4K Ansichten

article

32.5 : Induktivität in einem Wechselstromkreis

Alternating-Current Circuits

2.2K Ansichten

article

32.6 : Schaltkreise der RLC-Serie: Einführung

Alternating-Current Circuits

2.1K Ansichten

article

32.7 : Schaltungen der RLC-Serie: Impedanz

Alternating-Current Circuits

2.0K Ansichten

article

32.8 : Schaltung der RLC-Serie: Problemlösung

Alternating-Current Circuits

1.8K Ansichten

article

32.10 : Resonanz in einem Wechselstromkreis

Alternating-Current Circuits

1.9K Ansichten

article

32.11 : Transformatoren

Alternating-Current Circuits

1.0K Ansichten

article

32.12 : Arten von Transformatoren

Alternating-Current Circuits

909 Ansichten

article

32.13 : Energieverluste in Transformatoren

Alternating-Current Circuits

789 Ansichten

JoVE Logo

Datenschutz

Nutzungsbedingungen

Richtlinien

Forschung

Lehre

ÜBER JoVE

Copyright © 2025 MyJoVE Corporation. Alle Rechte vorbehalten