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

STEP 0: Pre-Calculation Summary
Formula Used
length = Area Of 2-Φ 4-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*Resistivity*(Power Transmitted^2))
l = a7*W*(Vm^2)*(cos(ϑ)^2)/(4*ρ*(P^2))
This formula uses 1 Functions, 6 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Area Of 2-Φ 4-wire system - The Area Of 2-Φ 4-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)
Maximum Voltage - Maximum Voltage the highest voltage rating for electrical devices (Measured in Volt)
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)
Power Transmitted - The Power Transmitted Value through a shaft. (Measured in Watt)
STEP 1: Convert Input(s) to Base Unit
Area Of 2-Φ 4-wire system: 7 Square Meter --> 7 Square Meter No Conversion Required
Line Losses: 0.6 Watt --> 0.6 Watt No Conversion Required
Maximum Voltage: 60 Volt --> 60 Volt 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
Power Transmitted: 10 Watt --> 10 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = a7*W*(Vm^2)*(cos(ϑ)^2)/(4*ρ*(P^2)) --> 7*0.6*(60^2)*(cos(0.5235987755982)^2)/(4*1.7E-05*(10^2))
Evaluating ... ...
l = 1667647.05882353
STEP 3: Convert Result to Output's Unit
1667647.05882353 Meter --> No Conversion Required
FINAL ANSWER
1667647.05882353 Meter <-- Length
(Calculation completed in 00.016 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

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

length = Area Of 2-Φ 4-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*Resistivity*(Power Transmitted^2))
l = a7*W*(Vm^2)*(cos(ϑ)^2)/(4*ρ*(P^2))

Does resistivity change with length?

Resistivity is an intrinsic property of any material. It stays the same, no matter how long or thick your conductor is. Temperature coefficient*original resistivity*change in temperature. So there is no change with length in resistivity but resistance changes in direct proportion with the length of the conductor.

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

Length Using Area Of X-Section (3-phase 4-wire US) calculator uses length = Area Of 2-Φ 4-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*Resistivity*(Power Transmitted^2)) to calculate the Length, The Length Using Area Of X-Section (3-phase 4-wire US) formula is defined as the total length of the wire that used in the three-phase four-wire system. Length and is denoted by l symbol.

How to calculate Length Using Area Of X-Section (3-phase 4-wire US) using this online calculator? To use this online calculator for Length Using Area Of X-Section (3-phase 4-wire US), enter Area Of 2-Φ 4-wire system (a7), Line Losses (W), Maximum Voltage (Vm), Theta (ϑ), Resistivity (ρ) and Power Transmitted (P) and hit the calculate button. Here is how the Length Using Area Of X-Section (3-phase 4-wire US) calculation can be explained with given input values -> 1.668E+6 = 7*0.6*(60^2)*(cos(0.5235987755982)^2)/(4*1.7E-05*(10^2)).

FAQ

What is Length Using Area Of X-Section (3-phase 4-wire US)?
The Length Using Area Of X-Section (3-phase 4-wire US) formula is defined as the total length of the wire that used in the three-phase four-wire system and is represented as l = a7*W*(Vm^2)*(cos(ϑ)^2)/(4*ρ*(P^2)) or length = Area Of 2-Φ 4-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*Resistivity*(Power Transmitted^2)). The Area Of 2-Φ 4-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, Maximum Voltage the highest voltage rating for electrical devices, 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 and The Power Transmitted Value through a shaft.
How to calculate Length Using Area Of X-Section (3-phase 4-wire US)?
The Length Using Area Of X-Section (3-phase 4-wire US) formula is defined as the total length of the wire that used in the three-phase four-wire system is calculated using length = Area Of 2-Φ 4-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*Resistivity*(Power Transmitted^2)). To calculate Length Using Area Of X-Section (3-phase 4-wire US), you need Area Of 2-Φ 4-wire system (a7), Line Losses (W), Maximum Voltage (Vm), Theta (ϑ), Resistivity (ρ) and Power Transmitted (P). With our tool, you need to enter the respective value for Area Of 2-Φ 4-wire system, Line Losses, Maximum Voltage, Theta, Resistivity and Power Transmitted 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 Length?
In this formula, Length uses Area Of 2-Φ 4-wire system, Line Losses, Maximum Voltage, Theta, Resistivity and Power Transmitted. 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 Length Using Area Of X-Section (3-phase 4-wire US) calculator used?
Among many, Length 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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