Length of Line using Line Losses(Two-Wire One Conductor Earthed) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Wire DC = Line Losses*Area of Overhead DC Wire/(2*(Current Overhead DC^2)*Resistivity)
L = Ploss*A/(2*(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.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead DC line when in use.
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.
STEP 1: Convert Input(s) to Base Unit
Line Losses: 0.74 Watt --> 0.74 Watt No Conversion Required
Area of Overhead DC Wire: 0.65 Square Meter --> 0.65 Square Meter 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 = Ploss*A/(2*(I^2)*ρ) --> 0.74*0.65/(2*(3.1^2)*1.7E-05)
Evaluating ... ...
L = 1472.1185040093
STEP 3: Convert Result to Output's Unit
1472.1185040093 Meter --> No Conversion Required
FINAL ANSWER
1472.1185040093 1472.119 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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14 Wire Parameters Calculators

Length of Wire using K(Two-Wire One Conductor Earthed)
Go Length of Wire DC = sqrt(Constant Overhead DC*Line Losses*(Maximum Voltage Overhead DC^2)/(4*Resistivity*(Power Transmitted^2)))
Length of Line using Area of X-Section(Two-Wire One Conductor Earthed)
Go Length of Wire DC = Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2)*Line Losses/(Resistivity*(Power Transmitted^2)*2)
Line Losses using K(Two-Wire One Conductor Earthed)
Go Line Losses = 4*(Power Transmitted^2)*Resistivity*(Length of Wire DC^2)/(Constant Overhead DC*(Maximum Voltage Overhead DC^2))
Area of X-Section(Two-Wire One Conductor Earthed)
Go Area of Overhead DC Wire = 2*(Power Transmitted^2)*Resistivity*Length of Wire DC/(Line Losses*(Maximum Voltage Overhead DC^2))
K(Two-Wire One Conductor Earthed)
Go Constant Overhead DC = 4*(Power Transmitted^2)*Resistivity*(Length of Wire DC^2)/(Line Losses*(Maximum Voltage Overhead DC^2))
Line Losses using Area of X-section(Two-Wire One Conductor Earthed)
Go Line Losses = (Power Transmitted^2)*Resistivity*Length of Wire DC/(Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2))
Length of Line using Line Losses(Two-Wire One Conductor Earthed)
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(Two-Wire One Conductor Earthed)
Go Area of Overhead DC Wire = 2*(Current Overhead DC^2)*Resistivity*Length of Wire DC/Line Losses
Length of Wire using Resistance(Two-Wire One Conductor Earthed)
Go Length of Wire DC = (Resistance Overhead DC*Area of Overhead DC Wire)/Resistivity
Area of X-Section using Resistance(Two-Wire One Conductor Earthed)
Go Area of Overhead DC Wire = Resistivity*Length of Wire DC/Resistance Overhead DC
Area of X-Section using Volume(Two-Wire One Conductor Earthed)
Go Area of Overhead DC Wire = Volume of Conductor/(2*Length of Wire DC)
Volume of Conductor Material(Two-Wire One Conductor Earthed)
Go Volume of Conductor = 2*Area of Overhead DC Wire*Length of Wire DC
Line Losses(Two-Wire One Conductor Earthed)
Go Line Losses = 2*(Current Overhead DC^2)*Resistance Overhead DC
Volume using K(Two-Wire One Conductor Earthed)
Go Volume of Conductor = (1)*Constant Overhead DC

Length of Line using Line Losses(Two-Wire One Conductor Earthed) Formula

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

What is the two-wire one conductor earthed system?

The load is connected between the two wires. where a1 is the area of the X-section of the conductor. It is a usual practice to make this system the basis for comparison with other systems.

How to Calculate Length of Line using Line Losses(Two-Wire One Conductor Earthed)?

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

How to calculate Length of Line using Line Losses(Two-Wire One Conductor Earthed) using this online calculator? To use this online calculator for Length of Line using Line Losses(Two-Wire One Conductor Earthed), enter Line Losses (Ploss), Area of Overhead DC Wire (A), Current Overhead DC (I) & Resistivity (ρ) and hit the calculate button. Here is how the Length of Line using Line Losses(Two-Wire One Conductor Earthed) calculation can be explained with given input values -> 1472.119 = 0.74*0.65/(2*(3.1^2)*1.7E-05).

FAQ

What is Length of Line using Line Losses(Two-Wire One Conductor Earthed)?
The Length of Line using Line Losses(Two-Wire One Conductor Earthed) formula is defined as the length of the wire used in the Two-Wire One Conductor Earthed system and is represented as L = Ploss*A/(2*(I^2)*ρ) or Length of Wire DC = Line Losses*Area of Overhead DC Wire/(2*(Current Overhead DC^2)*Resistivity). Line Losses is defined as the total losses occurring in an Overhead DC line when in use, Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system, 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 of Line using Line Losses(Two-Wire One Conductor Earthed)?
The Length of Line using Line Losses(Two-Wire One Conductor Earthed) formula is defined as the length of the wire used in the Two-Wire One Conductor Earthed system is calculated using Length of Wire DC = Line Losses*Area of Overhead DC Wire/(2*(Current Overhead DC^2)*Resistivity). To calculate Length of Line using Line Losses(Two-Wire One Conductor Earthed), you need Line Losses (Ploss), Area of Overhead DC Wire (A), Current Overhead DC (I) & Resistivity (ρ). With our tool, you need to enter the respective value for Line Losses, Area of Overhead DC Wire, 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 Line Losses, Area of Overhead DC Wire, Current Overhead DC & Resistivity. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Length of Wire DC = (Resistance Overhead DC*Area of Overhead DC Wire)/Resistivity
  • Length of Wire DC = sqrt(Constant Overhead DC*Line Losses*(Maximum Voltage Overhead DC^2)/(4*Resistivity*(Power Transmitted^2)))
  • Length of Wire DC = Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2)*Line Losses/(Resistivity*(Power Transmitted^2)*2)
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