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## Credits

Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Osmania University (OU), Hyderabad
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## RMS Voltage Using Area Of X-Section (3-phase 3-wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
rms_voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system))
Vrms = (2*P/cos(ϑ))*sqrt(ρ*l/(W*a9))
This formula uses 2 Functions, 6 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 Kilowatt)
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)
Line Losses - Line Losses is defined as the losses that are produced in the line. (Measured in Watt)
Area Of 3-Φ 3-wire system - The Area Of 3-Φ 3-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 Kilowatt --> 10000 Watt (Check conversion here)
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
Line Losses: 0.6 Watt --> 0.6 Watt No Conversion Required
Area Of 3-Φ 3-wire system: 10 Square Meter --> 10 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vrms = (2*P/cos(ϑ))*sqrt(ρ*l/(W*a9)) --> (2*10000/cos(0.5235987755982))*sqrt(1.7E-05*3/(0.6*10))
Evaluating ... ...
Vrms = 67.3300329224138
STEP 3: Convert Result to Output's Unit
67.3300329224138 Volt --> No Conversion Required
FINAL ANSWER
67.3300329224138 Volt <-- Root mean square voltage
(Calculation completed in 00.031 seconds)

## < 7 Area Of X-Section Calculators

Power Transmitted Using Area Of X-Section (3-phase 3-wire US)
transmitted_power = sqrt(Area Of 1-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(2*Resistivity*Length)) Go
Maximum Voltage Using Area Of X-Section (3-phase 3-wire US)
maximum_voltage = (Power Transmitted/cos(Theta))*sqrt(2*Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system)) Go
RMS Voltage Using Area Of X-Section (3-phase 3-wire US)
rms_voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system)) Go
Resistivity Using Area Of X-Section (3-phase 3-wire US)
resistivity = Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(2*(Power Transmitted^2)*Length) Go
Length Using Area Of X-Section (3-phase 3-wire US)
length = Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(2*(Power Transmitted^2)*Resistivity) Go
Angle Using Area Of X-Section (3-phase 3-wire US)
angle = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 3-wire system))) Go
Power Factor Using Area Of X-Section (3-phase 3-wire US)
power_factor = (Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 3-wire system)) Go

### RMS Voltage Using Area Of X-Section (3-phase 3-wire US) Formula

rms_voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system))
Vrms = (2*P/cos(ϑ))*sqrt(ρ*l/(W*a9))

## Why do we use 3 phase 3 wire?

The function of neutral wire in the 3 phase 3 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 3-wire US)?

RMS Voltage Using Area Of X-Section (3-phase 3-wire US) calculator uses rms_voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system)) to calculate the Root mean square voltage, The RMS Voltage Using Area Of X-Section (3-phase 3-wire US) 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 3-wire US) using this online calculator? To use this online calculator for RMS Voltage Using Area Of X-Section (3-phase 3-wire US), enter Power Transmitted (P), Theta (ϑ), Resistivity (ρ), Length (l), Line Losses (W) and Area Of 3-Φ 3-wire system (a9) and hit the calculate button. Here is how the RMS Voltage Using Area Of X-Section (3-phase 3-wire US) calculation can be explained with given input values -> 67.33003 = (2*10000/cos(0.5235987755982))*sqrt(1.7E-05*3/(0.6*10)).

### FAQ

What is RMS Voltage Using Area Of X-Section (3-phase 3-wire US)?
The RMS Voltage Using Area Of X-Section (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 = (2*P/cos(ϑ))*sqrt(ρ*l/(W*a9)) or rms_voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(Line Losses*Area Of 3-Φ 3-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, Line Losses is defined as the losses that are produced in the line and The Area Of 3-Φ 3-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 3-wire US)?
The RMS Voltage Using Area Of X-Section (3-phase 3-wire US) formula is defined as the square root of the time average of the voltage squared is calculated using rms_voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system)). To calculate RMS Voltage Using Area Of X-Section (3-phase 3-wire US), you need Power Transmitted (P), Theta (ϑ), Resistivity (ρ), Length (l), Line Losses (W) and Area Of 3-Φ 3-wire system (a9). With our tool, you need to enter the respective value for Power Transmitted, Theta, Resistivity, Length, Line Losses and Area Of 3-Φ 3-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, Line Losses and Area Of 3-Φ 3-wire system. We can use 7 other way(s) to calculate the same, which is/are as follows -
• transmitted_power = sqrt(Area Of 1-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(2*Resistivity*Length))
• resistivity = Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(2*(Power Transmitted^2)*Length)
• length = Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(2*(Power Transmitted^2)*Resistivity)
• maximum_voltage = (Power Transmitted/cos(Theta))*sqrt(2*Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system))
• rms_voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system))
• power_factor = (Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 3-wire system))
• angle = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 3-wire system)))
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