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Power in Three-Phase AC Circuits using Phase Current 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 = 3 \cdot V ph \cdot I ph \cdot \cos (Φ)

P - Real Power?V_ph - Phase Voltage?I_ph - Phase Current?Φ - Phase Difference?

Power in Three-Phase AC Circuits using Phase Current Example

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With units

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

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

Here is how the Power in Three-Phase AC Circuits using Phase Current equation looks like.

249.4153 = 3 \cdot 240 \cdot 0.4 \cdot \cos (30)

249.4153W = 3 \cdot 240V \cdot 0.4A \cdot \cos (30°)

249.4153 = 3 \cdot 240 \cdot 0.4 \cdot \cos (30)

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Power in Three-Phase AC Circuits using Phase Current Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 3 \cdot 240V \cdot 0.4A \cdot \cos (30°)

Next Step Convert Units

∴

P = 3 \cdot 240V \cdot 0.4A \cdot \cos (0.5236rad)

Next Step Prepare to Evaluate

∴

P = 3 \cdot 240 \cdot 0.4 \cdot \cos (0.5236)

Next Step Evaluate

∴

P = 249.415316289918W

LAST Step Rounding Answer

∴

P = 249.4153W

Power in Three-Phase AC Circuits using Phase Current 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

Phase Voltage

Phase Voltage is the potential difference between a line and a neutral in a three phase circuit.

Symbol: V_ph

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Phase Voltage

Phase Current

The Phase Current is a current flow between phase to neutral in a three phase circuit.

Symbol: I_ph

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Phase 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 Power in Single-Phase AC Circuits using Voltage

P = \frac{V^{2} \cdot \cos (Φ)}{R}

Go Real Power in AC Circuit

P = V \cdot I \cdot \cos (Φ)

Other formulas in AC Power category

Go Complex Power

S = \sqrt{P^{2} + Q^{2}}

Go Complex Power given Power Factor

S = \frac{P}{\cos (Φ)}

Go Reactive Power

Q = I \cdot V \cdot \sin (Φ)

Go Reactive Power using Line-to-Neutral Current

Q = 3 \cdot I ln \cdot V ln \cdot \sin (Φ)

How to Evaluate Power in Three-Phase AC Circuits using Phase Current?

Power in Three-Phase AC Circuits using Phase Current evaluator uses Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference) to evaluate the Real Power, Power in Three-Phase AC Circuits using Phase Current is a common method of alternating current electric power generation, transmission, and distribution. It is a type of polyphase system and is the most common method used by electrical grids worldwide to transfer power. Real Power is denoted by P symbol.

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

FAQs on Power in Three-Phase AC Circuits using Phase Current

What is the formula to find Power in Three-Phase AC Circuits using Phase Current?

The formula of Power in Three-Phase AC Circuits using Phase Current is expressed as Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference). Here is an example- 249.4153 = 3*240*0.4*cos(0.5235987755982).

How to calculate Power in Three-Phase AC Circuits using Phase Current?

With Phase Voltage (V_ph), Phase Current (I_ph) & Phase Difference (Φ) we can find Power in Three-Phase AC Circuits using Phase Current using the formula - Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference). This formula also uses Cosine 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=(Voltage^2*cos(Phase Difference))/Resistance

Can the Power in Three-Phase AC Circuits using Phase Current be negative?

No, the Power in Three-Phase AC Circuits using Phase Current, measured in Power cannot be negative.

Which unit is used to measure Power in Three-Phase AC Circuits using Phase Current?

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

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