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Maximum Voltage Using Area Of X-Section (3-phase 4-wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
maximum_voltage = (Power Transmitted/cos(Theta))*sqrt(2*Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system))
Vm = (P/cos(ϑ))*sqrt(2*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
Vm = (P/cos(ϑ))*sqrt(2*ρ*l/(W*a9)) --> (10000/cos(0.5235987755982))*sqrt(2*1.7E-05*3/(0.6*10))
Evaluating ... ...
Vm = 47.6095228569523
STEP 3: Convert Result to Output's Unit
47.6095228569523 Volt --> No Conversion Required
FINAL ANSWER
47.6095228569523 Volt <-- Maximum Voltage
(Calculation completed in 00.019 seconds)

9 Area Of X-Section Calculators

Power Factor Using Area Of X-Section (3-phase 4-wire US)
theta = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 4-wire system*Line Losses))) Go
Angle Using Area Of X-Section (3-phase 4-wire US)
theta = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 4-wire system*Line Losses))) Go
Maximum Voltage Using Area Of X-Section (3-phase 4-wire US)
maximum_voltage = (Power Transmitted/cos(Theta))*sqrt(2*Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system)) Go
Power Transmitted Using Area Of X-Section (3-phase 4-wire US)
transmitted_power = Maximum Voltage*cos(Theta)*sqrt(Area Of 2-Φ 4-wire system*Line Losses/(2*Resistivity*Length)) Go
RMS Voltage Using Area Of X-Section (3-phase 4-wire US)
rms_voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(6*Line Losses*Area Of 3-Φ 3-wire system)) Go
Resistivity Using Area Of X-Section (3-phase 4-wire US)
resistivity = Area Of 3-Φ 4-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*Length*(Power Transmitted^2)) Go
Line Losses Using Area Of X-Section (3-phase 4-wire US)
line_losses = 2*Resistivity*Length*(Power Transmitted^2)/(Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*(cos(Theta)^2)) Go
Length Using Area Of X-Section (3-phase 4-wire US)
length = Area Of 2-Φ 4-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*Resistivity*(Power Transmitted^2)) Go
Area Of X-Section (3-phase 4-wire US)
area10 = (Power Transmitted^2)*2*Resistivity*Length/(Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)) Go

Maximum Voltage Using Area Of X-Section (3-phase 4-wire US) Formula

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

What is the value of maximum voltage in 3-phase 4-wire Underground system?

The maximum voltage between conductors is vm/√3 so that r.m.s. value of voltage between them is vm/√6.

How to Calculate Maximum Voltage Using Area Of X-Section (3-phase 4-wire US)?

Maximum Voltage Using Area Of X-Section (3-phase 4-wire US) calculator uses maximum_voltage = (Power Transmitted/cos(Theta))*sqrt(2*Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system)) to calculate the Maximum Voltage, The Maximum Voltage Using Area Of X-Section (3-phase 4-wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition. Maximum Voltage and is denoted by Vm symbol.

How to calculate Maximum Voltage Using Area Of X-Section (3-phase 4-wire US) using this online calculator? To use this online calculator for Maximum Voltage Using Area Of X-Section (3-phase 4-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 Maximum Voltage Using Area Of X-Section (3-phase 4-wire US) calculation can be explained with given input values -> 47.60952 = (10000/cos(0.5235987755982))*sqrt(2*1.7E-05*3/(0.6*10)).

FAQ

What is Maximum Voltage Using Area Of X-Section (3-phase 4-wire US)?
The Maximum Voltage Using Area Of X-Section (3-phase 4-wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition and is represented as Vm = (P/cos(ϑ))*sqrt(2*ρ*l/(W*a9)) or maximum_voltage = (Power Transmitted/cos(Theta))*sqrt(2*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 Maximum Voltage Using Area Of X-Section (3-phase 4-wire US)?
The Maximum Voltage Using Area Of X-Section (3-phase 4-wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition is calculated using maximum_voltage = (Power Transmitted/cos(Theta))*sqrt(2*Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system)). To calculate Maximum Voltage Using Area Of X-Section (3-phase 4-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 Maximum Voltage?
In this formula, Maximum Voltage uses Power Transmitted, Theta, Resistivity, Length, Line Losses and Area Of 3-Φ 3-wire system. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • transmitted_power = Maximum Voltage*cos(Theta)*sqrt(Area Of 2-Φ 4-wire system*Line Losses/(2*Resistivity*Length))
  • 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/(6*Line Losses*Area Of 3-Φ 3-wire system))
  • theta = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 4-wire system*Line Losses)))
  • theta = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 4-wire system*Line Losses)))
  • resistivity = Area Of 3-Φ 4-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*Length*(Power Transmitted^2))
  • length = Area Of 2-Φ 4-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*Resistivity*(Power Transmitted^2))
  • line_losses = 2*Resistivity*Length*(Power Transmitted^2)/(Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*(cos(Theta)^2))
  • area10 = (Power Transmitted^2)*2*Resistivity*Length/(Line Losses*(Maximum Voltage^2)*(cos(Theta)^2))
Where is the Maximum Voltage Using Area Of X-Section (3-phase 4-wire US) calculator used?
Among many, Maximum Voltage Using Area Of X-Section (3-phase 4-wire US) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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