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RMS Voltage Using Area Of X-section(3-phase 3-wire OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
rms_voltage = sqrt(Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(cos(Theta)^2)))
Vrms = sqrt(ρ*(P^2*l^2)/(3*a9*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
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)
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
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)
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
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Power Transmitted: 10 Kilowatt --> 10000 Watt (Check conversion here)
Length: 3 Meter --> 3 Meter No Conversion Required
Area Of 3-Φ 3-wire system: 10 Square Meter --> 10 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(ρ*(P^2*l^2)/(3*a9*W*(cos(ϑ)^2))) --> sqrt(1.7E-05*(10000^2*3^2)/(3*10*0.6*(cos(0.5235987755982)^2)))
Evaluating ... ...
Vrms = 33.6650164612069
STEP 3: Convert Result to Output's Unit
33.6650164612069 Volt --> No Conversion Required
FINAL ANSWER
33.6650164612069 Volt <-- Root mean square voltage
(Calculation completed in 00.031 seconds)

8 Area Of X-Section Calculators

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

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

How is a three-wire three-phase system is better than a two-wire single-phase system?

A three-wire, three-phase system can then transmit 73% more power than a two-wire, single-phase system by just the addition of one wire. A three-phase system also has some major advantages in the generation and use of electricity by rotating machines as will be explained later.

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

RMS Voltage Using Area Of X-section(3-phase 3-wire OS) calculator uses rms_voltage = sqrt(Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(cos(Theta)^2))) to calculate the Root mean square voltage, The RMS Voltage Using Area Of X-section(3-phase 3-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 3-wire OS) using this online calculator? To use this online calculator for RMS Voltage Using Area Of X-section(3-phase 3-wire OS), enter Resistivity (ρ), Power Transmitted (P), Length (l), Area Of 3-Φ 3-wire system (a9), Line Losses (W) and Theta (ϑ) and hit the calculate button. Here is how the RMS Voltage Using Area Of X-section(3-phase 3-wire OS) calculation can be explained with given input values -> 33.66502 = sqrt(1.7E-05*(10000^2*3^2)/(3*10*0.6*(cos(0.5235987755982)^2))).

FAQ

What is RMS Voltage Using Area Of X-section(3-phase 3-wire OS)?
The RMS Voltage Using Area Of X-section(3-phase 3-wire OS) formula is defined as the square root of the time average of the voltage squared. and is represented as Vrms = sqrt(ρ*(P^2*l^2)/(3*a9*W*(cos(ϑ)^2))) or rms_voltage = sqrt(Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(cos(Theta)^2))). Resistivity is the measure of how strongly a material opposes the flow of current through them, The Power Transmitted Value through a shaft, Length is the measurement or extent of something from end to end, The Area Of 3-Φ 3-wire system is the amount of two-dimensional space taken up by an object, 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(3-phase 3-wire OS)?
The RMS Voltage Using Area Of X-section(3-phase 3-wire OS) formula is defined as the square root of the time average of the voltage squared. is calculated using rms_voltage = sqrt(Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(cos(Theta)^2))). To calculate RMS Voltage Using Area Of X-section(3-phase 3-wire OS), you need Resistivity (ρ), Power Transmitted (P), Length (l), Area Of 3-Φ 3-wire system (a9), Line Losses (W) and Theta (ϑ). With our tool, you need to enter the respective value for Resistivity, Power Transmitted, Length, Area Of 3-Φ 3-wire system, 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 Resistivity, Power Transmitted, Length, Area Of 3-Φ 3-wire system, Line Losses and Theta. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • length = 3*Area Of 3-Φ 3-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(2*Resistivity*(Power Transmitted^2))
  • resistivity = 3*Area Of 3-Φ 3-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(2*Length*(Power Transmitted^2))
  • power_transmitted = sqrt((3*Area Of 3-Φ 3-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 3-wire system*(Maximum Voltage^2)*((cos(Theta))^2))
  • maximum_voltage = sqrt((2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 3-wire system*Line Losses*((cos(Theta))^2)))
  • rms_voltage = sqrt(Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(cos(Theta)^2)))
  • theta = acos(sqrt(2*Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2))))
  • power_factor = sqrt(2*Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2)))
Where is the RMS Voltage Using Area Of X-section(3-phase 3-wire OS) calculator used?
Among many, RMS Voltage Using Area Of X-section(3-phase 3-wire OS) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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