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## Credits

Vishwakarma Government Engineering College (VGEC), Ahmedabad
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## RMS Voltage Using Area Of X-Section(2-phase 4-wire OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
rms_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(Area Of X-Section*Line Losses*((cos(Theta))^2)))
Vrms = sqrt((l*ρ*(P^2))/(a*W*((cos(ϑ))^2)))
This formula uses 2 Functions, 6 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
Resistivity - Resistivity is the measure of how strongly a material opposes the flow of current through them. (Measured in Ohm Meter)
Power Transmitted - The Power Transmitted Value through a shaft. (Measured in Kilowatt)
Area Of X-Section - Area Of X-Section is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” (Measured in Square Meter)
Line Losses - Line Losses is defined as the losses that are produced in the line. (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)
STEP 1: Convert Input(s) to Base Unit
Length: 3 Meter --> 3 Meter No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Power Transmitted: 10 Kilowatt --> 10000 Watt (Check conversion here)
Area Of X-Section: 5 Square Meter --> 5 Square Meter No Conversion Required
Line Losses: 0.6 Watt --> 0.6 Watt No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vrms = sqrt((l*ρ*(P^2))/(a*W*((cos(ϑ))^2))) --> sqrt((3*1.7E-05*(10000^2))/(5*0.6*((cos(0.5235987755982))^2)))
Evaluating ... ...
Vrms = 47.6095228569523
STEP 3: Convert Result to Output's Unit
47.6095228569523 Volt --> No Conversion Required
47.6095228569523 Volt <-- Root mean square voltage
(Calculation completed in 00.034 seconds)

## < 9 Area Of X-Section Calculators

Power Transmitted Using Area Of X-Section(2-phase 4-wire OS)
power_transmitted = sqrt((2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*Length)) Go
Maximum Voltage Using Area Of X-section(2-phase 4-wire OS)
maximum_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(2*Area Of X-Section*Line Losses*((cos(Theta))^2))) Go
RMS Voltage Using Area Of X-Section(2-phase 4-wire OS)
rms_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(Area Of X-Section*Line Losses*((cos(Theta))^2))) Go
Power Factor Using Area Of X-section(2-phase 4-wire OS)
power_factor = sqrt((Power Transmitted^2)*Resistivity*Length/(2*Area Of X-Section*Line Losses*(Maximum Voltage^2))) Go
Line Losses Using Area Of X-Section(2-phase 4-wire OS)
line_losses = (Length*Resistivity*(Power Transmitted^2))/(2*Area Of X-Section*(Maximum Voltage^2)*((cos(Theta))^2)) Go
Length Of Wire Using Area Of X-section(2-phase 4-wire OS)
length = 2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(Resistivity*(Power Transmitted^2)) Go
Resistivity Using Area Of X-Section(2-phase 4-wire OS)
resistivity = 2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(Length*(Power Transmitted^2)) Go
Load Current Using Area Of X-section(2-phase 4-wire OS)
load_current = sqrt(Line Losses*Area Of X-Section/((32)*Resistivity*Length)) Go
Volume Of Conductor Material Using Area Of X-Section(2-phase 4-wire OS)
volume_of_conductor_material = (4)*Area Of X-Section*Length Go

### RMS Voltage Using Area Of X-Section(2-phase 4-wire OS) Formula

rms_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(Area Of X-Section*Line Losses*((cos(Theta))^2)))
Vrms = sqrt((l*ρ*(P^2))/(a*W*((cos(ϑ))^2)))

## What is the value of maximum voltage and volume of conductor material in 2-phase 4-wire system?

The volume of conductor material required in this system is 1/2cos2θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is 2vm so that r.m.s. value of voltage between them is √2vm.

## How to Calculate RMS Voltage Using Area Of X-Section(2-phase 4-wire OS)?

RMS Voltage Using Area Of X-Section(2-phase 4-wire OS) calculator uses rms_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(Area Of X-Section*Line Losses*((cos(Theta))^2))) to calculate the Root mean square voltage, The RMS Voltage Using Area Of X-section(2-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(2-phase 4-wire OS) using this online calculator? To use this online calculator for RMS Voltage Using Area Of X-Section(2-phase 4-wire OS), enter Length (l), Resistivity (ρ), Power Transmitted (P), Area Of X-Section (a), Line Losses (W) and Theta (ϑ) and hit the calculate button. Here is how the RMS Voltage Using Area Of X-Section(2-phase 4-wire OS) calculation can be explained with given input values -> 47.60952 = sqrt((3*1.7E-05*(10000^2))/(5*0.6*((cos(0.5235987755982))^2))).

### FAQ

What is RMS Voltage Using Area Of X-Section(2-phase 4-wire OS)?
The RMS Voltage Using Area Of X-section(2-phase 4-wire OS) formula is defined as the square root of the time average of the voltage squared and is represented as Vrms = sqrt((l*ρ*(P^2))/(a*W*((cos(ϑ))^2))) or rms_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(Area Of X-Section*Line Losses*((cos(Theta))^2))). Length is the measurement or extent of something from end to end, Resistivity is the measure of how strongly a material opposes the flow of current through them, The Power Transmitted Value through a shaft, Area Of X-Section is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.”, Line Losses is defined as the losses that are produced in the line and Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
How to calculate RMS Voltage Using Area Of X-Section(2-phase 4-wire OS)?
The RMS Voltage Using Area Of X-section(2-phase 4-wire OS) formula is defined as the square root of the time average of the voltage squared is calculated using rms_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(Area Of X-Section*Line Losses*((cos(Theta))^2))). To calculate RMS Voltage Using Area Of X-Section(2-phase 4-wire OS), you need Length (l), Resistivity (ρ), Power Transmitted (P), Area Of X-Section (a), Line Losses (W) and Theta (ϑ). With our tool, you need to enter the respective value for Length, Resistivity, Power Transmitted, Area Of X-Section, Line Losses and Theta 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 Length, Resistivity, Power Transmitted, Area Of X-Section, Line Losses and Theta. We can use 9 other way(s) to calculate the same, which is/are as follows -
• line_losses = (Length*Resistivity*(Power Transmitted^2))/(2*Area Of X-Section*(Maximum Voltage^2)*((cos(Theta))^2))
• maximum_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(2*Area Of X-Section*Line Losses*((cos(Theta))^2)))
• power_factor = sqrt((Power Transmitted^2)*Resistivity*Length/(2*Area Of X-Section*Line Losses*(Maximum Voltage^2)))
• power_transmitted = sqrt((2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*Length))
• resistivity = 2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(Length*(Power Transmitted^2))
• length = 2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(Resistivity*(Power Transmitted^2))
• volume_of_conductor_material = (4)*Area Of X-Section*Length
• load_current = sqrt(Line Losses*Area Of X-Section/((32)*Resistivity*Length))
• rms_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(Area Of X-Section*Line Losses*((cos(Theta))^2)))
Where is the RMS Voltage Using Area Of X-Section(2-phase 4-wire OS) calculator used?
Among many, RMS Voltage Using Area Of X-Section(2-phase 4-wire OS) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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