Length using Volume of Conductor Material (DC 2-Wire 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 (DC 2-Wire OS) [L]

⎘ Copy

👎

Formula

✖

Length using Volume of Conductor Material (DC 2-Wire OS)

Formula

`"L" = sqrt("V"*"P"_{"loss"}*("V"_{"m"}^2)/((4)*"ρ"*("P"^2)))`

Example

`"34.8409m"=sqrt("26m³"*"0.74W"*(("60.26V")^2)/((4)*"0.000017Ω*m"*(("920W")^2)))`

Calculator

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

Length using Volume of Conductor Material (DC 2-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Wire DC = sqrt(Volume of Conductor*Line Losses*(Maximum Voltage Overhead DC^2)/((4)*Resistivity*(Power Transmitted^2)))
L = sqrt(V*P_loss*(V_m^2)/((4)*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)/((4)*ρ*(P^2))) --> sqrt(26*0.74*(60.26^2)/((4)*1.7E-05*(920^2)))

Evaluating ... ...

L = 34.8409009980072

STEP 3: Convert Result to Output's Unit

34.8409009980072 Meter --> No Conversion Required

FINAL ANSWER

34.8409009980072 ≈ 34.8409 Meter <-- Length of Wire DC

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Overhead DC Supply » 2-Wire System » Length using Volume of Conductor Material (DC 2-Wire OS)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has verified this Calculator and 100+ more calculators!

< 5 2-Wire System Calculators

Length using Volume of Conductor Material (DC 2-Wire OS)

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

Maximum Voltage using Area of X-Section(DC Two-Wire OS)

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

Line Losses using Volume of Conductor Material (DC 2-Wire OS)

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

Resistance(2-Wire DC OS)

Go Resistance Overhead DC = Resistivity*Length of Wire DC/Area of Overhead DC Wire

Load Current using Line Losses(DC Two-Wire OS)

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

Length using Volume of Conductor Material (DC 2-Wire OS) Formula

Length of Wire DC = sqrt(Volume of Conductor*Line Losses*(Maximum Voltage Overhead DC^2)/((4)*Resistivity*(Power Transmitted^2)))
L = sqrt(V*P_loss*(V_m^2)/((4)*ρ*(P^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 using Volume of Conductor Material (DC 2-Wire OS)?

Length using Volume of Conductor Material (DC 2-Wire OS) calculator uses Length of Wire DC = sqrt(Volume of Conductor*Line Losses*(Maximum Voltage Overhead DC^2)/((4)*Resistivity*(Power Transmitted^2))) to calculate the Length of Wire DC, The Length using Volume of Conductor Material (DC 2-Wire OS) formula is defined as the total length of the wire that used in a two-wire one conductor earthed system. Length of Wire DC is denoted by L symbol.

How to calculate Length using Volume of Conductor Material (DC 2-Wire OS) using this online calculator? To use this online calculator for Length using Volume of Conductor Material (DC 2-Wire 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 (DC 2-Wire OS) calculation can be explained with given input values -> 34.8409 = sqrt(26*0.74*(60.26^2)/((4)*1.7E-05*(920^2))).

FAQ

What is Length using Volume of Conductor Material (DC 2-Wire OS)?

The Length using Volume of Conductor Material (DC 2-Wire OS) formula is defined as the total length of the wire that used in a two-wire one conductor earthed system and is represented as L = sqrt(V*P_loss*(V_m^2)/((4)*ρ*(P^2))) or Length of Wire DC = sqrt(Volume of Conductor*Line Losses*(Maximum Voltage Overhead DC^2)/((4)*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 (DC 2-Wire OS)?

The Length using Volume of Conductor Material (DC 2-Wire OS) formula is defined as the total length of the wire that used in a two-wire one conductor earthed system is calculated using Length of Wire DC = sqrt(Volume of Conductor*Line Losses*(Maximum Voltage Overhead DC^2)/((4)*Resistivity*(Power Transmitted^2))). To calculate Length using Volume of Conductor Material (DC 2-Wire 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.

Home

FREE PDFs

🔍 Search