Length using Area of X-Section(DC 3-Wire) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Wire DC = Area of Overhead DC Wire*Line Losses/((Current Overhead DC^2)*Resistivity)
L = A*Ploss/((I^2)*ρ)
This formula uses 5 Variables
Variables Used
Length of Wire DC - (Measured in Meter) - Length of Wire DC is the total length of the wire from one end to other end.
Area of Overhead DC Wire - (Measured in Square Meter) - Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead DC line when in use.
Current Overhead DC - (Measured in Ampere) - Current Overhead DC is defined as the current flowing through the overhead ac supply wire.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
STEP 1: Convert Input(s) to Base Unit
Area of Overhead DC Wire: 0.65 Square Meter --> 0.65 Square Meter No Conversion Required
Line Losses: 0.74 Watt --> 0.74 Watt No Conversion Required
Current Overhead DC: 3.1 Ampere --> 3.1 Ampere No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = A*Ploss/((I^2)*ρ) --> 0.65*0.74/((3.1^2)*1.7E-05)
Evaluating ... ...
L = 2944.23700801861
STEP 3: Convert Result to Output's Unit
2944.23700801861 Meter --> No Conversion Required
FINAL ANSWER
2944.23700801861 2944.237 Meter <-- Length of Wire DC
(Calculation completed in 00.004 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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16 Wire Parameters Calculators

Line Losses using Constant(DC 3-Wire)
Go Line Losses = (((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*(Maximum Voltage Overhead DC)^2))
Constant(DC 3-Wire)
Go Constant Overhead DC = ((4)*(Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Line Losses*(Maximum Voltage Overhead DC))
Line Losses using Volume of Conductor Material (DC 3-Wire)
Go Line Losses = (((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Volume of Conductor*(Maximum Voltage Overhead DC)^2))
Line Losses using Area of X-Section(DC 3-Wire)
Go Line Losses = ((Power Transmitted^2)*Resistivity*Length of Wire DC/(Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2)))
Volume of Conductor Material (DC 3-Wire)
Go Volume of Conductor = ((2.5)*2)*(Current Overhead DC^2)*Resistivity*(Length of Wire DC^2)/Line Losses
Length using Line Losses(DC 3-Wire)
Go Length of Wire DC = Line Losses*Area of Overhead DC Wire/(2*(Current Overhead DC^2)*Resistivity)
Area of X-Section(DC 3-Wire)
Go Area of Overhead DC Wire = (2*(Current Overhead DC^2)*Resistivity*Length of Wire DC)/Line Losses
Area of X-Section using Line Losses(DC 3-Wire)
Go Area of Overhead DC Wire = ((Current Overhead DC^2)*Resistivity)*Length of Wire DC/Line Losses
Length using Area of X-Section(DC 3-Wire)
Go Length of Wire DC = Area of Overhead DC Wire*Line Losses/((Current Overhead DC^2)*Resistivity)
Area of X-Section using Volume of Conductor Material (DC 3-Wire)
Go Area of Overhead DC Wire = Volume of Conductor/((2.5)*Length of Wire DC)
Length using Volume of Conductor Material (DC 3-Wire)
Go Length of Wire DC = Volume of Conductor/((2.5)*Area of Overhead DC Wire)
Volume of Conductor Material using Area of X-Section(DC 3-Wire)
Go Volume of Conductor = (2.5)*Area of Overhead DC Wire*Length of Wire DC
Length using Constant(DC 3-Wire)
Go Length of Wire DC = Constant Overhead DC/Area of Overhead DC Wire
Line Losses(DC 3-Wire)
Go Line Losses = 2*(Current Overhead DC^2)*Resistance Overhead DC
Volume of Conductor Material using Constant(DC 3-Wire)
Go Volume of Conductor = (5)*Constant Overhead DC/(16)
Constant using Volume of Conductor Material (DC 3-Wire)
Go Constant Overhead DC = Volume of Conductor*(16/5)

Length using Area of X-Section(DC 3-Wire) Formula

Length of Wire DC = Area of Overhead DC Wire*Line Losses/((Current Overhead DC^2)*Resistivity)
L = A*Ploss/((I^2)*ρ)

What is a 3 wire dc system?

This is basically a combination of two series-connected unipolar DC systems. It consists of three conductors, two outer conductors (one is positive and the other is negative), and one middle conductor which acts as neutral.

How to Calculate Length using Area of X-Section(DC 3-Wire)?

Length using Area of X-Section(DC 3-Wire) calculator uses Length of Wire DC = Area of Overhead DC Wire*Line Losses/((Current Overhead DC^2)*Resistivity) to calculate the Length of Wire DC, The Length using Area of X-Section(DC 3-wire) formula is defined as the length of the wire used in the Three-Wire system. Length of Wire DC is denoted by L symbol.

How to calculate Length using Area of X-Section(DC 3-Wire) using this online calculator? To use this online calculator for Length using Area of X-Section(DC 3-Wire), enter Area of Overhead DC Wire (A), Line Losses (Ploss), Current Overhead DC (I) & Resistivity (ρ) and hit the calculate button. Here is how the Length using Area of X-Section(DC 3-Wire) calculation can be explained with given input values -> 2944.237 = 0.65*0.74/((3.1^2)*1.7E-05).

FAQ

What is Length using Area of X-Section(DC 3-Wire)?
The Length using Area of X-Section(DC 3-wire) formula is defined as the length of the wire used in the Three-Wire system and is represented as L = A*Ploss/((I^2)*ρ) or Length of Wire DC = Area of Overhead DC Wire*Line Losses/((Current Overhead DC^2)*Resistivity). Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system, Line Losses is defined as the total losses occurring in an Overhead DC line when in use, Current Overhead DC is defined as the current flowing through the overhead ac supply wire & Resistivity is the measure of how strongly a material opposes the flow of current through them.
How to calculate Length using Area of X-Section(DC 3-Wire)?
The Length using Area of X-Section(DC 3-wire) formula is defined as the length of the wire used in the Three-Wire system is calculated using Length of Wire DC = Area of Overhead DC Wire*Line Losses/((Current Overhead DC^2)*Resistivity). To calculate Length using Area of X-Section(DC 3-Wire), you need Area of Overhead DC Wire (A), Line Losses (Ploss), Current Overhead DC (I) & Resistivity (ρ). With our tool, you need to enter the respective value for Area of Overhead DC Wire, Line Losses, Current Overhead DC & Resistivity 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 of Wire DC?
In this formula, Length of Wire DC uses Area of Overhead DC Wire, Line Losses, Current Overhead DC & Resistivity. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Length of Wire DC = Line Losses*Area of Overhead DC Wire/(2*(Current Overhead DC^2)*Resistivity)
  • Length of Wire DC = Volume of Conductor/((2.5)*Area of Overhead DC Wire)
  • Length of Wire DC = Constant Overhead DC/Area of Overhead DC Wire
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