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

STEP 0: Pre-Calculation Summary
Formula Used
Area of Overhead DC Wire = (2*(Current Overhead DC^2)*Resistivity*Length of Wire DC)/Line Losses
A = (2*(I^2)*ρ*L)/Ploss
This formula uses 5 Variables
Variables Used
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.
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.
Length of Wire DC - (Measured in Meter) - Length of Wire DC is the total length of the wire from one end to other end.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead DC line when in use.
STEP 1: Convert Input(s) to Base Unit
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
Length of Wire DC: 12.7 Meter --> 12.7 Meter No Conversion Required
Line Losses: 0.74 Watt --> 0.74 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (2*(I^2)*ρ*L)/Ploss --> (2*(3.1^2)*1.7E-05*12.7)/0.74
Evaluating ... ...
A = 0.00560756486486487
STEP 3: Convert Result to Output's Unit
0.00560756486486487 Square Meter --> No Conversion Required
FINAL ANSWER
0.00560756486486487 0.005608 Square Meter <-- Area of Overhead DC Wire
(Calculation completed in 00.004 seconds)

Credits

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Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Wire Parameters Calculators

Volume of Conductor Material (DC 3-Wire)
​ LaTeX ​ 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)
​ LaTeX ​ Go Length of Wire DC = Line Losses*Area of Overhead DC Wire/(2*(Current Overhead DC^2)*Resistivity)
Area of X-Section using Line Losses(DC 3-Wire)
​ LaTeX ​ Go Area of Overhead DC Wire = ((Current Overhead DC^2)*Resistivity)*Length of Wire DC/Line Losses
Area of X-Section using Volume of Conductor Material (DC 3-Wire)
​ LaTeX ​ Go Area of Overhead DC Wire = Volume of Conductor/((2.5)*Length of Wire DC)

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

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

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 Area of X-Section(DC 3-Wire)?

Area of X-Section(DC 3-Wire) calculator uses Area of Overhead DC Wire = (2*(Current Overhead DC^2)*Resistivity*Length of Wire DC)/Line Losses to calculate the Area of Overhead DC Wire, The Area of X-Section(DC 3-wire) formula is defined as the space occupied by a flat shape or the surface of an object. The area of a figure is the number of unit squares that cover the surface of a closed figure. The area is measured in square units such as square centimeters, square feet, square inches, etc. Area of Overhead DC Wire is denoted by A symbol.

How to calculate Area of X-Section(DC 3-Wire) using this online calculator? To use this online calculator for Area of X-Section(DC 3-Wire), enter Current Overhead DC (I), Resistivity (ρ), Length of Wire DC (L) & Line Losses (Ploss) and hit the calculate button. Here is how the Area of X-Section(DC 3-Wire) calculation can be explained with given input values -> 0.005608 = (2*(3.1^2)*1.7E-05*12.7)/0.74.

FAQ

What is Area of X-Section(DC 3-Wire)?
The Area of X-Section(DC 3-wire) formula is defined as the space occupied by a flat shape or the surface of an object. The area of a figure is the number of unit squares that cover the surface of a closed figure. The area is measured in square units such as square centimeters, square feet, square inches, etc and is represented as A = (2*(I^2)*ρ*L)/Ploss or Area of Overhead DC Wire = (2*(Current Overhead DC^2)*Resistivity*Length of Wire DC)/Line Losses. 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, Length of Wire DC is the total length of the wire from one end to other end & Line Losses is defined as the total losses occurring in an Overhead DC line when in use.
How to calculate Area of X-Section(DC 3-Wire)?
The Area of X-Section(DC 3-wire) formula is defined as the space occupied by a flat shape or the surface of an object. The area of a figure is the number of unit squares that cover the surface of a closed figure. The area is measured in square units such as square centimeters, square feet, square inches, etc is calculated using Area of Overhead DC Wire = (2*(Current Overhead DC^2)*Resistivity*Length of Wire DC)/Line Losses. To calculate Area of X-Section(DC 3-Wire), you need Current Overhead DC (I), Resistivity (ρ), Length of Wire DC (L) & Line Losses (Ploss). With our tool, you need to enter the respective value for Current Overhead DC, Resistivity, Length of Wire DC & Line Losses 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 Area of Overhead DC Wire?
In this formula, Area of Overhead DC Wire uses Current Overhead DC, Resistivity, Length of Wire DC & Line Losses. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Area of Overhead DC Wire = ((Current Overhead DC^2)*Resistivity)*Length of Wire DC/Line Losses
  • Area of Overhead DC Wire = Volume of Conductor/((2.5)*Length of Wire DC)
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