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Power in Single-Phase AC Circuits Formula

GoPower in Single-Phase AC Circuits using Current Formula

GoReal Power in AC Circuit Formula

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The Real Power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load. Check FAQs

P = V \cdot I \cdot \cos (Φ)

P - Real Power?V - Voltage?I - Current?Φ - Phase Difference?

Power in Single-Phase AC Circuits Example

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Here is how the Power in Single-Phase AC Circuits equation looks like with Values.

Here is how the Power in Single-Phase AC Circuits equation looks like with Units.

Here is how the Power in Single-Phase AC Circuits equation looks like.

236.4249 = 130 \cdot 2.1 \cdot \cos (30)

236.4249W = 130V \cdot 2.1A \cdot \cos (30°)

236.4249 = 130 \cdot 2.1 \cdot \cos (30)

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Power in Single-Phase AC Circuits Solution

Follow our step by step solution on how to calculate Power in Single-Phase AC Circuits?

FIRST Step Consider the formula

P = V \cdot I \cdot \cos (Φ)

Next Step Substitute values of Variables

∴

P = 130V \cdot 2.1A \cdot \cos (30°)

Next Step Convert Units

∴

P = 130V \cdot 2.1A \cdot \cos (0.5236rad)

Next Step Prepare to Evaluate

∴

P = 130 \cdot 2.1 \cdot \cos (0.5236)

Next Step Evaluate

∴

P = 236.424935233152W

LAST Step Rounding Answer

∴

P = 236.4249W

Power in Single-Phase AC Circuits Formula Elements

Variables

Functions

Real Power

The Real Power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Real Power

Voltage

Voltage is used to determine the value of the potential difference between terminals where alternating current flows.

Symbol: V

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Voltage

Current

Current or AC is an electric current which periodically reverses direction and changes its magnitude continuously with time in contrast to direct current which flows only in one direction.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Current

Phase Difference

Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Phase Difference

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Real Power

Go Power in Single-Phase AC Circuits using Current

P = I^{2} \cdot R \cdot \cos (Φ)

Go Real Power in AC Circuit

P = V \cdot I \cdot \cos (Φ)

Go Real Power using Line-to-Neutral Voltage

P = 3 \cdot I ln \cdot V ln \cdot \cos (Φ)

Go Real Power using RMS Voltage and Current

P = I rms \cdot V rms \cdot \cos (Φ)

Other formulas in AC Power category

Go Capacitance for Parallel RLC Circuit using Q Factor

C = \frac{L \cdot {Q ||}^{2}}{R^{2}}

Go Capacitance for Series RLC Circuit given Q Factor

C = \frac{L}{{Q se}^{2} \cdot R^{2}}

Go Capacitance given Cut off Frequency

C = \frac{1}{2 \cdot R \cdot π \cdot f c}

Go Capacitance using Time Constant

C = \frac{τ}{R}

How to Evaluate Power in Single-Phase AC Circuits?

Power in Single-Phase AC Circuits evaluator uses Real Power = Voltage*Current*cos(Phase Difference) to evaluate the Real Power, Power in Single-Phase AC Circuits is the distribution of alternating current electric power using a system in which all the voltages of the supply vary in unison. Real Power is denoted by P symbol.

How to evaluate Power in Single-Phase AC Circuits using this online evaluator? To use this online evaluator for Power in Single-Phase AC Circuits, enter Voltage (V), Current (I) & Phase Difference (Φ) and hit the calculate button.

FAQs on Power in Single-Phase AC Circuits

What is the formula to find Power in Single-Phase AC Circuits?

The formula of Power in Single-Phase AC Circuits is expressed as Real Power = Voltage*Current*cos(Phase Difference). Here is an example- 236.4249 = 130*2.1*cos(0.5235987755982).

How to calculate Power in Single-Phase AC Circuits?

With Voltage (V), Current (I) & Phase Difference (Φ) we can find Power in Single-Phase AC Circuits using the formula - Real Power = Voltage*Current*cos(Phase Difference). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Real Power?

Here are the different ways to Calculate Real Power-

Real Power=Current^2*Resistance*cos(Phase Difference)
Real Power=Voltage*Current*cos(Phase Difference)
Real Power=3*Line to Neutral Current*Line to Neutral Voltage*cos(Phase Difference)

Can the Power in Single-Phase AC Circuits be negative?

No, the Power in Single-Phase AC Circuits, measured in Power cannot be negative.

Which unit is used to measure Power in Single-Phase AC Circuits?

Power in Single-Phase AC Circuits is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Power in Single-Phase AC Circuits can be measured.

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