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

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

V_rms = V_m/(sqrt(6)) --> 60/(sqrt(6))

Evaluating ... ...

V_rms = 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)

You are here -

Home » Engineering » Electrical » Power System » Underground DC Supply » 3-Wire System » Current & Voltage » RMS Voltage Per Phase (3-Phase 3-Wire US)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< 14 Current & Voltage Calculators

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

Go Root Mean Square Voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))

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

Go Maximum Voltage = (Power Transmitted/cos(Theta))*sqrt(2*Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))

Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US)

Go Maximum Voltage = sqrt(6*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor*(cos(Theta))^2))

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

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)

Go Maximum Voltage = sqrt(5*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor))

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

Go Maximum Voltage = (sqrt(6)*Power Transmitted)/(3*Current underground DC*cos(Theta))

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

Go Current underground DC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage*cos(Theta))

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

Go Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses))

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

Go Root Mean Square Voltage = Power Transmitted/(3*Current underground DC*cos(Theta))

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

Go Current underground DC = sqrt(Line Losses/(2*Resistance underground DC))

Current using Line Losses (3-Phase 3-Wire US)

Go Current underground DC = sqrt(Line Losses/(3*Resistance underground DC))

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

Go Root Mean Square Voltage = Maximum Voltage/(sqrt(6))

Maximum Voltage using RMS Voltage Per Phase (3-Phase 3-Wire US)

Go Maximum Voltage = sqrt(6)*Root Mean Square Voltage

Maximum Voltage between Each Phase and Neutral (3-Phase 3-Wire US)

Go Maximum phase voltage = Maximum Voltage/sqrt(3)

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

Root Mean Square Voltage = Maximum Voltage/(sqrt(6))
V_rms = V_m/(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 V_rms 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 (V_m) 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 V_rms = V_m/(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 (V_m). 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))

Home

FREE PDFs

🔍 Search