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Real Power in AC Circuit Formula

GoPower in Single-Phase AC Circuits Formula

GoPower in Single-Phase AC Circuits using Current 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?

Real Power in AC Circuit Example

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Here is how the Real Power in AC Circuit equation looks like with Values.

Here is how the Real Power in AC Circuit equation looks like with Units.

Here is how the Real Power in AC Circuit 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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Real Power in AC Circuit Solution

Follow our step by step solution on how to calculate Real Power in AC Circuit?

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

Real Power in AC Circuit 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

P = V \cdot I \cdot \cos (Φ)

Go Power in Single-Phase AC Circuits using Current

P = I^{2} \cdot R \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 Real Power in AC Circuit?

Real Power in AC Circuit evaluator uses Real Power = Voltage*Current*cos(Phase Difference) to evaluate the Real Power, The Real Power in AC Circuit 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. Real Power is denoted by P symbol.

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

FAQs on Real Power in AC Circuit

What is the formula to find Real Power in AC Circuit?

The formula of Real Power in AC Circuit 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 Real Power in AC Circuit?

With Voltage (V), Current (I) & Phase Difference (Φ) we can find Real Power in AC Circuit 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=Voltage*Current*cos(Phase Difference)
Real Power=Current^2*Resistance*cos(Phase Difference)
Real Power=3*Line to Neutral Current*Line to Neutral Voltage*cos(Phase Difference)

Can the Real Power in AC Circuit be negative?

No, the Real Power in AC Circuit, measured in Power cannot be negative.

Which unit is used to measure Real Power in AC Circuit?

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

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