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Line 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{Q}{3 \cdot \sin (Φ) \cdot I ln}

V_ln - Line to Neutral Voltage?Q - Reactive Power?Φ - Phase Difference?I_ln - Line to Neutral Current?

Line to Neutral Voltage using Reactive Power Example

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

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

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

68.7179 = \frac{134}{3 \cdot \sin (30) \cdot 1.3}

68.7179V = \frac{134VAR}{3 \cdot \sin (30°) \cdot 1.3A}

68.7179 = \frac{134}{3 \cdot \sin (30) \cdot 1.3}

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Line to Neutral Voltage using Reactive Power Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V ln = \frac{134VAR}{3 \cdot \sin (30°) \cdot 1.3A}

Next Step Convert Units

∴

V ln = \frac{134W}{3 \cdot \sin (0.5236rad) \cdot 1.3A}

Next Step Prepare to Evaluate

∴

V ln = \frac{134}{3 \cdot \sin (0.5236) \cdot 1.3}

Next Step Evaluate

∴

V ln = 68.7179487179487V

LAST Step Rounding Answer

∴

V ln = 68.7179V

Line to Neutral Voltage using Reactive 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

Reactive Power

Reactive Power is a measure of the energy exchange between the source and the reactive part of the load.

Symbol: Q

Measurement: PowerUnit: VAR

Note: Value can be positive or negative.

Formulas to find Reactive 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 Resonant Frequency for RLC circuit

f o = \frac{1}{2 \cdot π \cdot \sqrt{L \cdot C}}

Go Resistance for Parallel RLC Circuit using Q Factor

R = \frac{Q ||}{\sqrt{\frac{C}{L}}}

How to Evaluate Line to Neutral Voltage using Reactive Power?

Line to Neutral Voltage using Reactive Power evaluator uses Line to Neutral Voltage = Reactive Power/(3*sin(Phase Difference)*Line to Neutral Current) to evaluate the Line to Neutral Voltage, Line to Neutral Voltage using Reactive Power is the voltage between any of the 3 phases and the central star point which is connected to the earth and reactive power is the power that flows back from a destination toward the grid in an alternating current scenario. Line to Neutral Voltage is denoted by V_ln symbol.

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

FAQs on Line to Neutral Voltage using Reactive Power

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

The formula of Line to Neutral Voltage using Reactive Power is expressed as Line to Neutral Voltage = Reactive Power/(3*sin(Phase Difference)*Line to Neutral Current). Here is an example- 68.71795 = 134/(3*sin(0.5235987755982)*1.3).

How to calculate Line to Neutral Voltage using Reactive Power?

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

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

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

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

Line to Neutral Voltage using Reactive 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 Reactive Power can be measured.

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Line to Neutral Voltage using Reactive Power Formula

Line to Neutral Voltage using Reactive Power Example

Line to Neutral Voltage using Reactive Power Solution

Line to Neutral Voltage using Reactive Power Formula Elements

Other formulas in Voltage category

How to Evaluate Line to Neutral Voltage using Reactive Power?

FAQs on Line to Neutral Voltage using Reactive Power

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