Length of Line using Area of X-Section(Two-Wire One Conductor Earthed) Calculator

✖Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system.ⓘ Area of Overhead DC Wire [A]			+10% -10%
✖Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Overhead DC [V_m]			+10% -10%
✖Line Losses is defined as the total losses occurring in an Overhead DC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end.ⓘ Power Transmitted [P]			+10% -10%

✖Length of Wire DC is the total length of the wire from one end to other end.ⓘ Length of Line using Area of X-Section(Two-Wire One Conductor Earthed) [L]

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Formula

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Length of Line using Area of X-Section(Two-Wire One Conductor Earthed)

Formula

`"L" = "A"*("V"_{"m"}^2)*"P"_{"loss"}/("ρ"*("P"^2)*2)`

Example

`"60.69442m"="0.65m²"*(("60.26V")^2)*"0.74W"/("0.000017Ω*m"*(("920W")^2)*2)`

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Length of Line using Area of X-Section(Two-Wire One Conductor Earthed) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Wire DC = Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2)*Line Losses/(Resistivity*(Power Transmitted^2)*2)
L = A*(V_m^2)*P_loss/(ρ*(P^2)*2)
This formula uses 6 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.
Maximum Voltage Overhead DC - (Measured in Volt) - Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead DC line when in use.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Power Transmitted - (Measured in Watt) - Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end.

STEP 1: Convert Input(s) to Base Unit

Area of Overhead DC Wire: 0.65 Square Meter --> 0.65 Square Meter No Conversion Required
Maximum Voltage Overhead DC: 60.26 Volt --> 60.26 Volt No Conversion Required
Line Losses: 0.74 Watt --> 0.74 Watt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Power Transmitted: 920 Watt --> 920 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = A*(V_m^2)*P_loss/(ρ*(P^2)*2) --> 0.65*(60.26^2)*0.74/(1.7E-05*(920^2)*2)

Evaluating ... ...

L = 60.6944191176471

STEP 3: Convert Result to Output's Unit

60.6944191176471 Meter --> No Conversion Required

FINAL ANSWER

60.6944191176471 ≈ 60.69442 Meter <-- Length of Wire DC

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electrical » Power System » Overhead DC Supply » 2-Wire System » 1 Conductor Earthed » Wire Parameters » Length of Line using Area of X-Section(Two-Wire One Conductor Earthed)

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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 Area of X-Section(Two-Wire One Conductor Earthed) Formula

Length of Wire DC = Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2)*Line Losses/(Resistivity*(Power Transmitted^2)*2)
L = A*(V_m^2)*P_loss/(ρ*(P^2)*2)

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 Area of X-Section(Two-Wire One Conductor Earthed)?

Length of Line using Area of X-Section(Two-Wire One Conductor Earthed) calculator uses Length of Wire DC = Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2)*Line Losses/(Resistivity*(Power Transmitted^2)*2) to calculate the Length of Wire DC, The Length of Line using Area of X-section(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 Area of X-Section(Two-Wire One Conductor Earthed) using this online calculator? To use this online calculator for Length of Line using Area of X-Section(Two-Wire One Conductor Earthed), enter Area of Overhead DC Wire (A), Maximum Voltage Overhead DC (V_m), Line Losses (P_loss), Resistivity (ρ) & Power Transmitted (P) and hit the calculate button. Here is how the Length of Line using Area of X-Section(Two-Wire One Conductor Earthed) calculation can be explained with given input values -> 60.69442 = 0.65*(60.26^2)*0.74/(1.7E-05*(920^2)*2).

FAQ

What is Length of Line using Area of X-Section(Two-Wire One Conductor Earthed)?

The Length of Line using Area of X-section(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 = A*(V_m^2)*P_loss/(ρ*(P^2)*2) or Length of Wire DC = Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2)*Line Losses/(Resistivity*(Power Transmitted^2)*2). Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system, Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire, Line Losses is defined as the total losses occurring in an Overhead DC line when in use, Resistivity is the measure of how strongly a material opposes the flow of current through them & Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end.

How to calculate Length of Line using Area of X-Section(Two-Wire One Conductor Earthed)?

The Length of Line using Area of X-section(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 = Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2)*Line Losses/(Resistivity*(Power Transmitted^2)*2). To calculate Length of Line using Area of X-Section(Two-Wire One Conductor Earthed), you need Area of Overhead DC Wire (A), Maximum Voltage Overhead DC (V_m), Line Losses (P_loss), Resistivity (ρ) & Power Transmitted (P). With our tool, you need to enter the respective value for Area of Overhead DC Wire, Maximum Voltage Overhead DC, Line Losses, Resistivity & 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 of Wire DC?

In this formula, Length of Wire DC uses Area of Overhead DC Wire, Maximum Voltage Overhead DC, Line Losses, Resistivity & Power Transmitted. 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 = Line Losses*Area of Overhead DC Wire/(2*(Current Overhead DC^2)*Resistivity)
Length of Wire DC = sqrt(Constant Overhead DC*Line Losses*(Maximum Voltage Overhead DC^2)/(4*Resistivity*(Power Transmitted^2)))

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