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RMS Voltage Per Phase (3-Phase 3-Wire US) Formula

GoRMS Voltage using Load Current Per Phase (3-Phase 3-Wire US) Formula

GoRMS Voltage using Area of X-Section (3-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{V m}{\sqrt{6}}

V_rms - Root Mean Square Voltage?V_m - Maximum Voltage?

RMS Voltage Per Phase (3-Phase 3-Wire US) Example

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Here is how the RMS Voltage Per Phase (3-Phase 3-Wire US) equation looks like with Values.

Here is how the RMS Voltage Per Phase (3-Phase 3-Wire US) equation looks like with Units.

Here is how the RMS Voltage Per Phase (3-Phase 3-Wire US) equation looks like.

24.4949 = \frac{60}{\sqrt{6}}

24.4949V = \frac{60V}{\sqrt{6}}

24.4949 = \frac{60}{\sqrt{6}}

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RMS Voltage Per Phase (3-Phase 3-Wire US) Solution

Follow our step by step solution on how to calculate RMS Voltage Per Phase (3-Phase 3-Wire US)?

FIRST Step Consider the formula

V rms = \frac{V m}{\sqrt{6}}

Next Step Substitute values of Variables

∴

V rms = \frac{60V}{\sqrt{6}}

Next Step Prepare to Evaluate

∴

V rms = \frac{60}{\sqrt{6}}

Next Step Evaluate

∴

V rms = 24.4948974278318V

LAST Step Rounding Answer

∴

V rms = 24.4949V

RMS Voltage Per Phase (3-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

Maximum Voltage

Maximum Voltage the highest voltage rating for electrical devices.

Symbol: V_m

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Maximum Voltage

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 Load Current Per Phase (3-Phase 3-Wire US)

V rms = \frac{P}{3 \cdot C 1 \cdot \cos (θ)}

Go RMS Voltage using Area of X-Section (3-Phase 3-Wire US)

V rms = (2 \cdot \frac{P}{\cos (θ)}) \cdot \sqrt{ρ \cdot \frac{l}{P line \cdot A}}

Other formulas in Current and Voltage category

Go Maximum Voltage using Volume of Conductor Material(DC Three-Wire US)

V m = \sqrt{5 \cdot ρ \cdot \frac{{(P \cdot l)}^{2}}{P line \cdot V}}

Go Maximum Voltage using Area of X-Section (DC Three-Wire US)

V m = \sqrt{2 \cdot (P^{2}) \cdot ρ \cdot \frac{l}{P line \cdot A}}

Go Maximum Voltage using Line Losses (DC Three-Wire US)

V m = \sqrt{2 \cdot (P^{2}) \cdot \frac{R 1}{P line}}

Go Load Current using Line Losses (DC Three-Wire US)

C 1 = \sqrt{\frac{P line}{2 \cdot R 1}}

How to Evaluate RMS Voltage Per Phase (3-Phase 3-Wire US)?

RMS Voltage Per Phase (3-Phase 3-Wire US) evaluator uses Root Mean Square Voltage = Maximum Voltage/(sqrt(6)) to evaluate the Root Mean Square Voltage, The RMS Voltage Per Phase (3-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 Per Phase (3-Phase 3-Wire US) using this online evaluator? To use this online evaluator for RMS Voltage Per Phase (3-Phase 3-Wire US), enter Maximum Voltage (V_m) and hit the calculate button.

FAQs on RMS Voltage Per Phase (3-Phase 3-Wire US)

What is the formula to find RMS Voltage Per Phase (3-Phase 3-Wire US)?

The formula of RMS Voltage Per Phase (3-Phase 3-Wire US) is expressed as Root Mean Square Voltage = Maximum Voltage/(sqrt(6)). Here is an example- 24.4949 = 60/(sqrt(6)).

How to calculate RMS Voltage Per Phase (3-Phase 3-Wire US)?

With Maximum Voltage (V_m) we can find RMS Voltage Per Phase (3-Phase 3-Wire US) using the formula - Root Mean Square Voltage = Maximum Voltage/(sqrt(6)). This formula also uses 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/(3*Current underground DC*cos(Theta))
Root Mean Square Voltage=(2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))

Can the RMS Voltage Per Phase (3-Phase 3-Wire US) be negative?

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

Which unit is used to measure RMS Voltage Per Phase (3-Phase 3-Wire US)?

RMS Voltage Per Phase (3-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 Per Phase (3-Phase 3-Wire US) can be measured.

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