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

STEP 0: Pre-Calculation Summary
Formula Used
Root Mean Square Voltage = Maximum Voltage/(sqrt(6))
Vrms = Vm/(sqrt(6))
This formula uses 1 Functions, 2 Variables
Functions Used
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., sqrt(Number)
Variables Used
Root Mean Square Voltage - (Measured in Volt) - Root Mean Square Voltage is the square root of the time average of the voltage squared.
Maximum Voltage - (Measured in Volt) - Maximum Voltage the highest voltage rating for electrical devices.
STEP 1: Convert Input(s) to Base Unit
Maximum Voltage: 60 Volt --> 60 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vrms = Vm/(sqrt(6)) --> 60/(sqrt(6))
Evaluating ... ...
Vrms = 24.4948974278318
STEP 3: Convert Result to Output's Unit
24.4948974278318 Volt --> No Conversion Required
FINAL ANSWER
24.4948974278318 24.4949 Volt <-- Root Mean Square Voltage
(Calculation completed in 00.004 seconds)

Credits

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Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Osmania University (OU), Hyderabad
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Current and Voltage Calculators

Maximum Voltage using Area of X-Section (DC Three-Wire US)
​ LaTeX ​ Go Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))
Maximum Voltage using Volume of Conductor Material(DC Three-Wire US)
​ LaTeX ​ Go Maximum Voltage = sqrt(5*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor))
Maximum Voltage using Line Losses (DC Three-Wire US)
​ LaTeX ​ Go Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses))
Load Current using Line Losses (DC Three-Wire US)
​ LaTeX ​ Go Current underground DC = sqrt(Line Losses/(2*Resistance underground DC))

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

​LaTeX ​Go
Root Mean Square Voltage = Maximum Voltage/(sqrt(6))
Vrms = Vm/(sqrt(6))

What is the value of volume of conductor material in 3-phase 3-wire US?

The volume of conductor material required in this system is 1.5/cos2θ times that of 2-wire d.c.system with the one conductor earthed.

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

RMS Voltage Per Phase (3-Phase 3-Wire US) calculator uses Root Mean Square Voltage = Maximum Voltage/(sqrt(6)) to calculate 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 Vrms symbol.

How to calculate RMS Voltage Per Phase (3-Phase 3-Wire US) using this online calculator? To use this online calculator for RMS Voltage Per Phase (3-Phase 3-Wire US), enter Maximum Voltage (Vm) and hit the calculate button. Here is how the RMS Voltage Per Phase (3-Phase 3-Wire US) calculation can be explained with given input values -> 24.4949 = 60/(sqrt(6)).

FAQ

What is RMS Voltage Per Phase (3-Phase 3-Wire US)?
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 and is represented as Vrms = Vm/(sqrt(6)) or Root Mean Square Voltage = Maximum Voltage/(sqrt(6)). Maximum Voltage the highest voltage rating for electrical devices.
How to calculate RMS Voltage Per Phase (3-Phase 3-Wire US)?
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 is calculated using Root Mean Square Voltage = Maximum Voltage/(sqrt(6)). To calculate RMS Voltage Per Phase (3-Phase 3-Wire US), you need Maximum Voltage (Vm). With our tool, you need to enter the respective value for Maximum Voltage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Root Mean Square Voltage?
In this formula, Root Mean Square Voltage uses Maximum Voltage. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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))
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