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Line to Neutral Voltage using Real Power Formula

GoLine to Neutral Voltage using Reactive Power Formula

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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. Check FAQs

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

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

Line to Neutral Voltage using Real Power Example

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

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

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

69.5781 = \frac{235}{3 \cdot \cos (30) \cdot 1.3}

69.5781V = \frac{235W}{3 \cdot \cos (30°) \cdot 1.3A}

69.5781 = \frac{235}{3 \cdot \cos (30) \cdot 1.3}

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Line to Neutral Voltage using Real Power Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V ln = \frac{235W}{3 \cdot \cos (30°) \cdot 1.3A}

Next Step Convert Units

∴

V ln = \frac{235W}{3 \cdot \cos (0.5236rad) \cdot 1.3A}

Next Step Prepare to Evaluate

∴

V ln = \frac{235}{3 \cdot \cos (0.5236) \cdot 1.3}

Next Step Evaluate

∴

V ln = 69.578109363878V

LAST Step Rounding Answer

∴

V ln = 69.5781V

Line to Neutral Voltage using Real Power Formula Elements

Variables

Functions

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

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 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

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

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 Line to Neutral Voltage

Go Line to Neutral Voltage using Reactive Power

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

Other formulas in Voltage 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 Line to Neutral Voltage using Real Power?

Line to Neutral Voltage using Real Power evaluator uses Line to Neutral Voltage = Real Power/(3*cos(Phase Difference)*Line to Neutral Current) to evaluate the Line to Neutral Voltage, Line to Neutral Voltage using Real Power is the voltage between any of the 3 phases and the central star point which is connected to the earth and real power 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. Line to Neutral Voltage is denoted by V_ln symbol.

How to evaluate Line to Neutral Voltage using Real Power using this online evaluator? To use this online evaluator for Line to Neutral Voltage using Real Power, enter Real Power (P), Phase Difference (Φ) & Line to Neutral Current (I_ln) and hit the calculate button.

FAQs on Line to Neutral Voltage using Real Power

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

The formula of Line to Neutral Voltage using Real Power is expressed as Line to Neutral Voltage = Real Power/(3*cos(Phase Difference)*Line to Neutral Current). Here is an example- 69.57811 = 235/(3*cos(0.5235987755982)*1.3).

How to calculate Line to Neutral Voltage using Real Power?

With Real Power (P), Phase Difference (Φ) & Line to Neutral Current (I_ln) we can find Line to Neutral Voltage using Real Power using the formula - Line to Neutral Voltage = Real Power/(3*cos(Phase Difference)*Line to Neutral Current). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Line to Neutral Voltage?

Here are the different ways to Calculate Line to Neutral Voltage-

Line to Neutral Voltage=Reactive Power/(3*sin(Phase Difference)*Line to Neutral Current)

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

Yes, the Line to Neutral Voltage using Real Power, measured in Electric Potential can be negative.

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

Line to Neutral Voltage using Real Power is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Line to Neutral Voltage using Real Power can be measured.

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