Length using Volume of Conductor Material(2-Wire Mid-Point Earthed OS) Calculator

✖Volume of Conductor is the total volume of the material used to make the conductor of an overhead dc line.ⓘ Volume of Conductor [V]			+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%
✖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%
✖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 using Volume of Conductor Material(2-Wire Mid-Point Earthed OS) [L]

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Formula

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Length using Volume of Conductor Material(2-Wire Mid-Point Earthed OS)

Formula

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

Example

`"69.6818m"=sqrt("26m³"*"0.74W"*(("60.26V")^2)/("0.000017Ω*m"*(("920W")^2)))`

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Length using Volume of Conductor Material(2-Wire Mid-Point Earthed OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Wire DC = sqrt(Volume of Conductor*Line Losses*(Maximum Voltage Overhead DC^2)/(Resistivity*(Power Transmitted^2)))
L = sqrt(V*P_loss*(V_m^2)/(ρ*(P^2)))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Volume of Conductor - (Measured in Cubic Meter) - Volume of Conductor is the total volume of the material used to make the conductor of an overhead dc line.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead DC line when in use.
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.
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

Volume of Conductor: 26 Cubic Meter --> 26 Cubic Meter No Conversion Required
Line Losses: 0.74 Watt --> 0.74 Watt No Conversion Required
Maximum Voltage Overhead DC: 60.26 Volt --> 60.26 Volt 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 = sqrt(V*P_loss*(V_m^2)/(ρ*(P^2))) --> sqrt(26*0.74*(60.26^2)/(1.7E-05*(920^2)))

Evaluating ... ...

L = 69.6818019960145

STEP 3: Convert Result to Output's Unit

69.6818019960145 Meter --> No Conversion Required

FINAL ANSWER

69.6818019960145 ≈ 69.6818 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 » Mid-Point Earthed » Wire Parameters » Length using Volume of Conductor Material(2-Wire Mid-Point Earthed OS)

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< 11 Wire Parameters Calculators

Length using Volume of Conductor Material(2-Wire Mid-Point Earthed OS)

Go Length of Wire DC = sqrt(Volume of Conductor*Line Losses*(Maximum Voltage Overhead DC^2)/(Resistivity*(Power Transmitted^2)))

Area of X-Section using Line Losses(Two-Wire Mid-Point Earthed)

Go Area of Overhead DC Wire = (Power Transmitted^2)*(Resistivity*Length of Wire DC)/(Line Losses*2*(Maximum Voltage Overhead DC^2))

Constant(Two-Wire Mid-Point Earthed)

Go Constant Overhead DC = (4*(Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Line Losses*(Maximum Voltage Overhead DC^2))

Length of Wire using Line Losses(Two-Wire Mid-Point Earthed)

Go Length of Wire DC = (Maximum Voltage Overhead DC^2)*Line Losses*2*Area of Overhead DC Wire/((Power Transmitted^2)*Resistivity)

Area of X-Section(Two-Wire Mid-Point Earthed)

Go Area of Overhead DC Wire = (Power Transmitted^2)*Resistivity*Length of Wire DC/(2*Line Losses*(Maximum Voltage Overhead DC^2))

Line Losses using Volume of Conductor Material(2-Wire Mid-Point Earthed OS)

Go Line Losses = Resistivity*((Power Transmitted*Length of Wire DC)^2)/(Volume of Conductor*(Maximum Voltage Overhead DC^2))

Area of X-Section using Volume of Conductor Material(2-Wire Mid-Point Earthed OS)

Go Area of Overhead DC Wire = Volume of Conductor/(2*Length of Wire DC)

Volume of Conductor Material(Two-Wire Mid-Point Earthed)

Go Volume of Conductor = (2)*Area of Overhead DC Wire*Length of Wire DC

Line Losses(Two-Wire Mid-Point Earthed)

Go Line Losses = 2*Resistance Overhead DC*(Current Overhead DC^2)

Volume using K(Two-Wire Mid-Point Earthed)

Go Volume of Conductor = (0.25)*Constant Overhead DC

Constant using Volume of Conductor Material(2-Wire Mid-Point Earthed OS)

Go Constant Overhead DC = 4*Volume of Conductor

Length using Volume of Conductor Material(2-Wire Mid-Point Earthed OS) Formula

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

What is the volume of two-wire mid-point earthed system?

The volume of conductor material required in a two-wire mid-point earthed system is one-fourth of that required in a two-wire DC system with one conductor earthed.

How to Calculate Length using Volume of Conductor Material(2-Wire Mid-Point Earthed OS)?

Length using Volume of Conductor Material(2-Wire Mid-Point Earthed OS) calculator uses Length of Wire DC = sqrt(Volume of Conductor*Line Losses*(Maximum Voltage Overhead DC^2)/(Resistivity*(Power Transmitted^2))) to calculate the Length of Wire DC, The Length using Volume of Conductor Material(2-Wire Mid-point Earthed OS) formula is defined as the total length of the wire that used in the two-wire mid-point earthed system. Length of Wire DC is denoted by L symbol.

How to calculate Length using Volume of Conductor Material(2-Wire Mid-Point Earthed OS) using this online calculator? To use this online calculator for Length using Volume of Conductor Material(2-Wire Mid-Point Earthed OS), enter Volume of Conductor (V), Line Losses (P_loss), Maximum Voltage Overhead DC (V_m), Resistivity (ρ) & Power Transmitted (P) and hit the calculate button. Here is how the Length using Volume of Conductor Material(2-Wire Mid-Point Earthed OS) calculation can be explained with given input values -> 69.6818 = sqrt(26*0.74*(60.26^2)/(1.7E-05*(920^2))).

FAQ

What is Length using Volume of Conductor Material(2-Wire Mid-Point Earthed OS)?

The Length using Volume of Conductor Material(2-Wire Mid-point Earthed OS) formula is defined as the total length of the wire that used in the two-wire mid-point earthed system and is represented as L = sqrt(V*P_loss*(V_m^2)/(ρ*(P^2))) or Length of Wire DC = sqrt(Volume of Conductor*Line Losses*(Maximum Voltage Overhead DC^2)/(Resistivity*(Power Transmitted^2))). Volume of Conductor is the total volume of the material used to make the conductor of an overhead dc line, Line Losses is defined as the total losses occurring in an Overhead DC line when in use, Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire, 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 using Volume of Conductor Material(2-Wire Mid-Point Earthed OS)?

The Length using Volume of Conductor Material(2-Wire Mid-point Earthed OS) formula is defined as the total length of the wire that used in the two-wire mid-point earthed system is calculated using Length of Wire DC = sqrt(Volume of Conductor*Line Losses*(Maximum Voltage Overhead DC^2)/(Resistivity*(Power Transmitted^2))). To calculate Length using Volume of Conductor Material(2-Wire Mid-Point Earthed OS), you need Volume of Conductor (V), Line Losses (P_loss), Maximum Voltage Overhead DC (V_m), Resistivity (ρ) & Power Transmitted (P). With our tool, you need to enter the respective value for Volume of Conductor, Line Losses, Maximum Voltage Overhead DC, 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 Volume of Conductor, Line Losses, Maximum Voltage Overhead DC, Resistivity & Power Transmitted. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length of Wire DC = (Maximum Voltage Overhead DC^2)*Line Losses*2*Area of Overhead DC Wire/((Power Transmitted^2)*Resistivity)

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