FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Real Power using Line-to-Neutral Voltage Formula

GoPower in Single-Phase AC Circuits Formula

GoPower in Single-Phase AC Circuits using Current Formula

Fx Copy

LaTeX Copy

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 I ln \cdot V ln \cdot \cos (Φ)

P - Real Power?I_ln - Line to Neutral Current?V_ln - Line to Neutral Voltage?Φ - Phase Difference?

Real Power using Line-to-Neutral Voltage Example

With values

With units

Only example

Here is how the Real Power using Line-to-Neutral Voltage equation looks like with Values.

Here is how the Real Power using Line-to-Neutral Voltage equation looks like with Units.

Here is how the Real Power using Line-to-Neutral Voltage equation looks like.

232.7097 = 3 \cdot 1.3 \cdot 68.9 \cdot \cos (30)

232.7097W = 3 \cdot 1.3A \cdot 68.9V \cdot \cos (30°)

232.7097 = 3 \cdot 1.3 \cdot 68.9 \cdot \cos (30)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electrical » Category

Electrical Circuit » fx Real Power using Line-to-Neutral Voltage

Real Power using Line-to-Neutral Voltage Solution

Follow our step by step solution on how to calculate Real Power using Line-to-Neutral Voltage?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 3 \cdot 1.3A \cdot 68.9V \cdot \cos (30°)

Next Step Convert Units

∴

P = 3 \cdot 1.3A \cdot 68.9V \cdot \cos (0.5236rad)

Next Step Prepare to Evaluate

∴

P = 3 \cdot 1.3 \cdot 68.9 \cdot \cos (0.5236)

Next Step Evaluate

∴

P = 232.709686250917W

LAST Step Rounding Answer

∴

P = 232.7097W

Real Power using Line-to-Neutral Voltage 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

Line to Neutral Current

The Line to Neutral Current is a current flow between the line to neutral.

Symbol: I_ln

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Line to Neutral Current

Line to Neutral Voltage

The Line to Neutral Voltage (usually referred to as phase voltage) is the voltage between any of the 3 phases and the central star point which is connected to the earth.

Symbol: V_ln

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Line to Neutral Voltage

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 in AC Circuit

P = V \cdot I \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 using Line-to-Neutral Voltage?

Real Power using Line-to-Neutral Voltage evaluator uses Real Power = 3*Line to Neutral Current*Line to Neutral Voltage*cos(Phase Difference) to evaluate the Real Power, The Real Power using Line-to-Neutral Voltage 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 using Line-to-Neutral Voltage using this online evaluator? To use this online evaluator for Real Power using Line-to-Neutral Voltage, enter Line to Neutral Current (I_ln), Line to Neutral Voltage (V_ln) & Phase Difference (Φ) and hit the calculate button.

FAQs on Real Power using Line-to-Neutral Voltage

What is the formula to find Real Power using Line-to-Neutral Voltage?

The formula of Real Power using Line-to-Neutral Voltage is expressed as Real Power = 3*Line to Neutral Current*Line to Neutral Voltage*cos(Phase Difference). Here is an example- 232.7097 = 3*1.3*68.9*cos(0.5235987755982).

How to calculate Real Power using Line-to-Neutral Voltage?

With Line to Neutral Current (I_ln), Line to Neutral Voltage (V_ln) & Phase Difference (Φ) we can find Real Power using Line-to-Neutral Voltage using the formula - Real Power = 3*Line to Neutral Current*Line to Neutral Voltage*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=Voltage*Current*cos(Phase Difference)

Can the Real Power using Line-to-Neutral Voltage be negative?

No, the Real Power using Line-to-Neutral Voltage, measured in Power cannot be negative.

Which unit is used to measure Real Power using Line-to-Neutral Voltage?

Real Power using Line-to-Neutral Voltage is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Real Power using Line-to-Neutral Voltage can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit