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

GoActive Power in Single Phase 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 = \sqrt{3} \cdot V line \cdot I line \cdot \cos (θ ph)

P_dc - Active Power in DC Circuit?V_line - Line Voltage?I_line - Line Current?θ_ph - Phase Angle?

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

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Here is how the Active Power in Three Phase (L-L) AC Circuits equation looks like with Values.

Here is how the Active Power in Three Phase (L-L) AC Circuits equation looks like with Units.

Here is how the Active Power in Three Phase (L-L) AC Circuits equation looks like.

168 = \sqrt{3} \cdot 56 \cdot 2 \cdot \cos (30)

168W = \sqrt{3} \cdot 56V \cdot 2A \cdot \cos (30°)

168 = \sqrt{3} \cdot 56 \cdot 2 \cdot \cos (30)

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

Follow our step by step solution on how to calculate Active Power in Three Phase (L-L) AC Circuits?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P dc = \sqrt{3} \cdot 56V \cdot 2A \cdot \cos (30°)

Next Step Convert Units

∴

P dc = \sqrt{3} \cdot 56V \cdot 2A \cdot \cos (0.5236rad)

Next Step Prepare to Evaluate

∴

P dc = \sqrt{3} \cdot 56 \cdot 2 \cdot \cos (0.5236)

LAST Step Evaluate

∴

P dc = 168W

Active Power in Three Phase (L-L) 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

Line Voltage

Line Voltage refers to the potential difference between two conductors in a polyphase system, most commonly a three-phase system.

Symbol: V_line

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Line Voltage

Line Current

Line Current, similar to line voltage, refers to the current flowing in each individual conductor of a polyphase system, typically a three-phase system.

Symbol: I_line

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Line Current

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)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Active Power in DC Circuit

Go Active Power in Single Phase AC Circuits

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

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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 Three Phase (L-L) AC Circuits?

Active Power in Three Phase (L-L) AC Circuits evaluator uses Active Power in DC Circuit = sqrt(3)*Line Voltage*Line Current*cos(Phase Angle) to evaluate the Active Power in DC Circuit, Active Power in Three Phase (L-L) AC Circuits, naturally known as line to line real power generally refers to the actual rate of electrical work being done by the source on the load. This is the usable power that delivers a practical effect like generating heat, light, or mechanical work. The formula above applies to balanced three-phase systems where the voltages and currents on each phase are equal and have the same phase angle. In unbalanced systems, the calculation becomes more complex and requires individual phase voltage and current measurements. Active Power in DC Circuit is denoted by P_dc symbol.

How to evaluate Active Power in Three Phase (L-L) AC Circuits using this online evaluator? To use this online evaluator for Active Power in Three Phase (L-L) AC Circuits, enter Line Voltage (V_line), Line Current (I_line) & Phase Angle (θ_ph) and hit the calculate button.

FAQs on Active Power in Three Phase (L-L) AC Circuits

What is the formula to find Active Power in Three Phase (L-L) AC Circuits?

The formula of Active Power in Three Phase (L-L) AC Circuits is expressed as Active Power in DC Circuit = sqrt(3)*Line Voltage*Line Current*cos(Phase Angle). Here is an example- 45.69 = sqrt(3)*56*2*cos(0.5235987755982).

How to calculate Active Power in Three Phase (L-L) AC Circuits?

With Line Voltage (V_line), Line Current (I_line) & Phase Angle (θ_ph) we can find Active Power in Three Phase (L-L) AC Circuits using the formula - Active Power in DC Circuit = sqrt(3)*Line Voltage*Line Current*cos(Phase Angle). This formula also uses Cosine (cos), Square Root (sqrt) 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=Voltage*Corrected Current in AC Circuit*cos(Phase Angle)

Can the Active Power in Three Phase (L-L) AC Circuits be negative?

No, the Active Power in Three Phase (L-L) AC Circuits, measured in Power cannot be negative.

Which unit is used to measure Active Power in Three Phase (L-L) AC Circuits?

Active Power in Three Phase (L-L) 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 Three Phase (L-L) AC Circuits can be measured.

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

​GoActive Power in Single Phase AC Circuits Formula

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

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

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

FAQs on Active Power in Three Phase (L-L) AC Circuits

Variable Name

GoActive Power in Single Phase AC Circuits Formula