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## Credits

Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1000+ more calculators!
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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## RMS Voltage Using Area Of X-section(3-phase 4-wire OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
rms_voltage = (Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(3*Area Of 3-Φ 4-wire system))
Vrms = (P/cos(ϑ))*sqrt(ρ*l/(3*a10))
This formula uses 2 Functions, 5 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Power Transmitted - The Power Transmitted Value through a shaft. (Measured in Watt)
Theta - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint. (Measured in Degree)
Resistivity - Resistivity is the measure of how strongly a material opposes the flow of current through them. (Measured in Ohm Meter)
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
Area Of 3-Φ 4-wire system - The Area Of 3-Φ 4-wire system is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Power Transmitted: 10 Watt --> 10 Watt No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Area Of 3-Φ 4-wire system: 10 Square Meter --> 10 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vrms = (P/cos(ϑ))*sqrt(ρ*l/(3*a10)) --> (10/cos(0.5235987755982))*sqrt(1.7E-05*3/(3*10))
Evaluating ... ...
Vrms = 0.0150554530541816
STEP 3: Convert Result to Output's Unit
0.0150554530541816 Volt --> No Conversion Required
FINAL ANSWER
0.0150554530541816 Volt <-- Root mean square voltage
(Calculation completed in 00.015 seconds)

## < 8 Area Of X-Section Calculators

Power Transmitted Using Area Of X-section(3-phase 4-wire OS)
power_transmitted = sqrt((3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*2*Length)) Go
Maximum Voltage Using Area Of X-section(3-phase 4-wire OS)
maximum_voltage = sqrt((2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 4-wire system*Line Losses*((cos(Theta))^2))) Go
Angle Of PF Using Area Of X-section(3-phase 4-wire OS)
theta = acos(sqrt(2*Resistivity*Length*(Power Transmitted^2)/(3*Area Of 3-Φ 4-wire system*Line Losses*(Maximum Voltage^2)))) Go
Line Losses Using Area Of X-section(3-phase 4-wire OS)
line_losses = (2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*((cos(Theta))^2)) Go
Length Of Wire Using Area Of X-section(3-phase 4-wire OS)
length = 3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(2*Resistivity*(Power Transmitted^2)) Go
Resistivity Using Area Of X-section(3-phase 4-wire OS)
resistivity = 3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(2*Length*(Power Transmitted^2)) Go
RMS Voltage Using Area Of X-section(3-phase 4-wire OS)
rms_voltage = (Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(3*Area Of 3-Φ 4-wire system)) Go
Power Factor Using Area Of X-section(3-phase 4-wire OS)
power_factor = (Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(3*Area Of 3-Φ 4-wire system)) Go

### RMS Voltage Using Area Of X-section(3-phase 4-wire OS) Formula

rms_voltage = (Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(3*Area Of 3-Φ 4-wire system))
Vrms = (P/cos(ϑ))*sqrt(ρ*l/(3*a10))

## Why do we use 3 phase 4 wire?

The function of neutral wire in the 3 phase 4 wire system is to serve as a return wire for the general domestic supply system. The neutral is paired to each of the single-phase loads.

## How to Calculate RMS Voltage Using Area Of X-section(3-phase 4-wire OS)?

RMS Voltage Using Area Of X-section(3-phase 4-wire OS) calculator uses rms_voltage = (Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(3*Area Of 3-Φ 4-wire system)) to calculate the Root mean square voltage, The RMS Voltage Using Area Of X-section(3-phase 4-wire OS) formula is defined as the square root of the time average of the voltage squared. . Root mean square voltage and is denoted by Vrms symbol.

How to calculate RMS Voltage Using Area Of X-section(3-phase 4-wire OS) using this online calculator? To use this online calculator for RMS Voltage Using Area Of X-section(3-phase 4-wire OS), enter Power Transmitted (P), Theta (ϑ), Resistivity (ρ), Length (l) and Area Of 3-Φ 4-wire system (a10) and hit the calculate button. Here is how the RMS Voltage Using Area Of X-section(3-phase 4-wire OS) calculation can be explained with given input values -> 0.015055 = (10/cos(0.5235987755982))*sqrt(1.7E-05*3/(3*10)).

### FAQ

What is RMS Voltage Using Area Of X-section(3-phase 4-wire OS)?
The RMS Voltage Using Area Of X-section(3-phase 4-wire OS) formula is defined as the square root of the time average of the voltage squared. and is represented as Vrms = (P/cos(ϑ))*sqrt(ρ*l/(3*a10)) or rms_voltage = (Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(3*Area Of 3-Φ 4-wire system)). The Power Transmitted Value through a shaft, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint, Resistivity is the measure of how strongly a material opposes the flow of current through them, Length is the measurement or extent of something from end to end and The Area Of 3-Φ 4-wire system is the amount of two-dimensional space taken up by an object.
How to calculate RMS Voltage Using Area Of X-section(3-phase 4-wire OS)?
The RMS Voltage Using Area Of X-section(3-phase 4-wire OS) formula is defined as the square root of the time average of the voltage squared. is calculated using rms_voltage = (Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(3*Area Of 3-Φ 4-wire system)). To calculate RMS Voltage Using Area Of X-section(3-phase 4-wire OS), you need Power Transmitted (P), Theta (ϑ), Resistivity (ρ), Length (l) and Area Of 3-Φ 4-wire system (a10). With our tool, you need to enter the respective value for Power Transmitted, Theta, Resistivity, Length and Area Of 3-Φ 4-wire system 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 Power Transmitted, Theta, Resistivity, Length and Area Of 3-Φ 4-wire system. We can use 8 other way(s) to calculate the same, which is/are as follows -
• length = 3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(2*Resistivity*(Power Transmitted^2))
• resistivity = 3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(2*Length*(Power Transmitted^2))
• power_transmitted = sqrt((3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*2*Length))
• line_losses = (2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*((cos(Theta))^2))
• maximum_voltage = sqrt((2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 4-wire system*Line Losses*((cos(Theta))^2)))
• rms_voltage = (Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(3*Area Of 3-Φ 4-wire system))
• power_factor = (Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(3*Area Of 3-Φ 4-wire system))
• theta = acos(sqrt(2*Resistivity*Length*(Power Transmitted^2)/(3*Area Of 3-Φ 4-wire system*Line Losses*(Maximum Voltage^2))))
Where is the RMS Voltage Using Area Of X-section(3-phase 4-wire OS) calculator used?
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