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Active Power in Single Phase AC Circuits Formula

GoActive Power in Three Phase (L-L) AC Circuits Formula

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Active Power in DC Circuit is defined as the actual work done or energy transferred by the circuit. Check FAQs

P dc = V ap \cdot I corr \cdot \cos (θ ph)

P_dc - Active Power in DC Circuit?V_ap - Voltage?I_corr - Corrected Current in AC Circuit?θ_ph - Phase Angle?

Active Power in Single Phase AC Circuits Example

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

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

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

167.3161 = 12 \cdot 16.1 \cdot \cos (30)

167.3161W = 12V \cdot 16.1A \cdot \cos (30°)

167.3161 = 12 \cdot 16.1 \cdot \cos (30)

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Active Power in Single Phase AC Circuits Solution

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

FIRST Step Consider the formula

P dc = V ap \cdot I corr \cdot \cos (θ ph)

Next Step Substitute values of Variables

∴

P dc = 12V \cdot 16.1A \cdot \cos (30°)

Next Step Convert Units

∴

P dc = 12V \cdot 16.1A \cdot \cos (0.5236rad)

Next Step Prepare to Evaluate

∴

P dc = 12 \cdot 16.1 \cdot \cos (0.5236)

Next Step Evaluate

∴

P dc = 167.316108011154W

LAST Step Rounding Answer

∴

P dc = 167.3161W

Active Power in Single Phase AC Circuits Formula Elements

Variables

Functions

Active Power in DC Circuit

Active Power in DC Circuit is defined as the actual work done or energy transferred by the circuit.

Symbol: P_dc

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Active Power in DC Circuit

Voltage

Voltage is a measure of the electric potential difference between two points in an electrical circuit, representing the force that drives the flow of electric current.

Symbol: V_ap

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Voltage

Corrected Current in AC Circuit

Corrected Current in AC Circuit is used to improve the power factor of AC circuits by reducing the reactive power present in the circuit.

Symbol: I_corr

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Corrected Current in AC Circuit

Phase Angle

Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees.

Symbol: θ_ph

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Phase Angle

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 Active Power in DC Circuit

Go Active Power in Three Phase (L-L) AC Circuits

P dc = \sqrt{3} \cdot V line \cdot I line \cdot \cos (θ ph)

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Q 2 = P max \cdot (\tan (φ 1) - \tan (φ 2))

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P max = 0.02 \cdot S tfr

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Cu loss = (\frac{Z v}{100}) \cdot S tfr

Go Actual Power Factor Correction

PF = \cos (\tanh (\tan (PF initial) - I corr))

How to Evaluate Active Power in Single Phase AC Circuits?

Active Power in Single Phase AC Circuits evaluator uses Active Power in DC Circuit = Voltage*Corrected Current in AC Circuit*cos(Phase Angle) to evaluate the Active Power in DC Circuit, Active Power in Single Phase AC Circuits, also known as real power or true power, refers to the average rate at which electrical energy is converted into usable work by the load. Voltage and current waveforms may not be perfectly aligned in time. This phase difference affects how much of the delivered power is truly utilized for work. Active Power in DC Circuit is denoted by P_dc symbol.

How to evaluate Active Power in Single Phase AC Circuits using this online evaluator? To use this online evaluator for Active Power in Single Phase AC Circuits, enter Voltage (V_ap), Corrected Current in AC Circuit (I_corr) & Phase Angle (θ_ph) and hit the calculate button.

FAQs on Active Power in Single Phase AC Circuits

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

The formula of Active Power in Single Phase AC Circuits is expressed as Active Power in DC Circuit = Voltage*Corrected Current in AC Circuit*cos(Phase Angle). Here is an example- 167.3161 = 12*16.1*cos(0.5235987755982).

How to calculate Active Power in Single Phase AC Circuits?

With Voltage (V_ap), Corrected Current in AC Circuit (I_corr) & Phase Angle (θ_ph) we can find Active Power in Single Phase AC Circuits using the formula - Active Power in DC Circuit = Voltage*Corrected Current in AC Circuit*cos(Phase Angle). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Active Power in DC Circuit?

Here are the different ways to Calculate Active Power in DC Circuit-

Active Power in DC Circuit=sqrt(3)*Line Voltage*Line Current*cos(Phase Angle)

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

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

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

Active 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 Active Power in Single Phase AC Circuits can be measured.

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Active Power in Single Phase AC Circuits Formula

​GoActive Power in Three Phase (L-L) AC Circuits Formula

Active Power in Single Phase AC Circuits Example

Active Power in Single Phase AC Circuits Solution

Active Power in Single Phase AC Circuits Formula Elements

Other Formulas to find Active Power in DC Circuit

Other formulas in Power Factor Correction category

How to Evaluate Active Power in Single Phase AC Circuits?

FAQs on Active Power in Single Phase AC Circuits

Variable Name

GoActive Power in Three Phase (L-L) AC Circuits Formula