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RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) Formula

GoRMS Voltage using Line Losses (2-Phase 3-Wire US) Formula

GoRMS Voltage between Outer and Neutral Wire (2-Phase 3-Wire US) Formula

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Root Mean Square Voltage is the square root of the time average of the voltage squared. Check FAQs

V rms = \frac{P}{\sqrt{2} \cdot \cos (Φ) \cdot I}

V_rms - Root Mean Square Voltage?P - Power Transmitted?Φ - Phase Difference?I - Current Underground AC?

RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) Example

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Here is how the RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) equation looks like with Values.

Here is how the RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) equation looks like with Units.

Here is how the RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) equation looks like.

27.2166 = \frac{300}{\sqrt{2} \cdot \cos (30) \cdot 9}

27.2166V = \frac{300W}{\sqrt{2} \cdot \cos (30°) \cdot 9A}

27.2166 = \frac{300}{\sqrt{2} \cdot \cos (30) \cdot 9}

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RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) Solution

Follow our step by step solution on how to calculate RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US)?

FIRST Step Consider the formula

V rms = \frac{P}{\sqrt{2} \cdot \cos (Φ) \cdot I}

Next Step Substitute values of Variables

∴

V rms = \frac{300W}{\sqrt{2} \cdot \cos (30°) \cdot 9A}

Next Step Convert Units

∴

V rms = \frac{300W}{\sqrt{2} \cdot \cos (0.5236rad) \cdot 9A}

Next Step Prepare to Evaluate

∴

V rms = \frac{300}{\sqrt{2} \cdot \cos (0.5236) \cdot 9}

Next Step Evaluate

∴

V rms = 27.2165526975909V

LAST Step Rounding Answer

∴

V rms = 27.2166V

RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) Formula Elements

Variables

Functions

Root Mean Square Voltage

Root Mean Square Voltage is the square root of the time average of the voltage squared.

Symbol: V_rms

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Root Mean Square Voltage

Power Transmitted

Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.

Symbol: P

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Power Transmitted

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

Current Underground AC

Current Underground AC is defined as the current flowing through the overhead ac supply wire.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Current Underground AC

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 Root Mean Square Voltage

Go RMS Voltage using Line Losses (2-Phase 3-Wire US)

V rms = P \cdot \frac{\sqrt{(2 + \sqrt{2}) \cdot ρ \cdot \frac{L}{A \cdot P loss}}}{\cos (Φ)}

Go RMS Voltage between Outer and Neutral Wire (2-Phase 3-Wire US)

V rms = \frac{V m}{2}

Go RMS Voltage using Current in Each Outer (2-Phase 3-Wire US)

V rms = \frac{P}{2 \cdot \cos (Φ) \cdot I}

Other formulas in Current and Voltage category

Go Maximum Voltage using Volume of Conductor Material (2-phase 3-wire US)

V m = (2 + \sqrt{2}) \cdot \sqrt{ρ \cdot \frac{{(P \cdot L)}^{2}}{P loss \cdot V \cdot {(\cos (Φ))}^{2}}}

Go Maximum Voltage using Line Losses (2-Phase 3-Wire US)

V m = \frac{P \cdot \sqrt{(2 + \sqrt{2}) \cdot ρ \cdot \frac{L}{A \cdot P loss}}}{\cos (Φ)}

Go Maximum Phase Voltage between Outer and Neutral Wire (2-Phase 3-Wire US)

V m(phase) = \frac{V m}{\sqrt{2}}

Go Current in Neutral Wire (2-Phase 3-Wire US)

I = \sqrt{2} \cdot \frac{P}{V m \cdot \cos (Φ)}

How to Evaluate RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US)?

RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) evaluator uses Root Mean Square Voltage = Power Transmitted/(sqrt(2)*cos(Phase Difference)*Current Underground AC) to evaluate the Root Mean Square Voltage, The RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) formula is defined as the square root of the time average of the voltage squared. Root Mean Square Voltage is denoted by V_rms symbol.

How to evaluate RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) using this online evaluator? To use this online evaluator for RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US), enter Power Transmitted (P), Phase Difference (Φ) & Current Underground AC (I) and hit the calculate button.

FAQs on RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US)

What is the formula to find RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US)?

The formula of RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) is expressed as Root Mean Square Voltage = Power Transmitted/(sqrt(2)*cos(Phase Difference)*Current Underground AC). Here is an example- 27.21655 = 300/(sqrt(2)*cos(0.5235987755982)*9).

How to calculate RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US)?

With Power Transmitted (P), Phase Difference (Φ) & Current Underground AC (I) we can find RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) using the formula - Root Mean Square Voltage = Power Transmitted/(sqrt(2)*cos(Phase Difference)*Current Underground AC). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Root Mean Square Voltage?

Here are the different ways to Calculate Root Mean Square Voltage-

Root Mean Square Voltage=Power Transmitted*sqrt((2+sqrt(2))*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire*Line Losses))/cos(Phase Difference)
Root Mean Square Voltage=Maximum Voltage Underground AC/2
Root Mean Square Voltage=Power Transmitted/(2*cos(Phase Difference)*Current Underground AC)

Can the RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) be negative?

No, the RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US), measured in Electric Potential cannot be negative.

Which unit is used to measure RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US)?

RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) can be measured.

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