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

✖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%
✖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%
✖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%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%

✖Length of Wire DC is the total length of the wire from one end to other end.ⓘ Length of Wire using Line Losses(Two-Wire Mid-Point Earthed) [L]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Maximum Voltage Overhead DC: 60.26 Volt --> 60.26 Volt No Conversion Required
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
Power Transmitted: 920 Watt --> 920 Watt 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 = (V_m^2)*P_loss*2*A/((P^2)*ρ) --> (60.26^2)*0.74*2*0.65/((920^2)*1.7E-05)

Evaluating ... ...

L = 242.777676470588

STEP 3: Convert Result to Output's Unit

242.777676470588 Meter --> No Conversion Required

FINAL ANSWER

242.777676470588 ≈ 242.7777 Meter <-- Length of Wire DC

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Electrical » Power System » Overhead DC Supply » 2 Wire System » Mid Point Earthed » Wire Parameters » Length of Wire using Line Losses(Two-Wire Mid-Point Earthed)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< Wire Parameters Calculators

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

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

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

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

Line Losses(Two-Wire Mid-Point Earthed)

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

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

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

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

LaTeX Go

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

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

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

How to calculate Length of Wire using Line Losses(Two-Wire Mid-Point Earthed) using this online calculator? To use this online calculator for Length of Wire using Line Losses(Two-Wire Mid-Point Earthed), enter Maximum Voltage Overhead DC (V_m), Line Losses (P_loss), Area of Overhead DC Wire (A), Power Transmitted (P) & Resistivity (ρ) and hit the calculate button. Here is how the Length of Wire using Line Losses(Two-Wire Mid-Point Earthed) calculation can be explained with given input values -> 242.7777 = (60.26^2)*0.74*2*0.65/((920^2)*1.7E-05).

FAQ

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

The Length of Wire using Line Losses(Two-Wire Mid-point Earthed) formula is defined as the length of the wire used in the Two-Wire Mid-point Earthed system and is represented as L = (V_m^2)*P_loss*2*A/((P^2)*ρ) or Length of Wire DC = (Maximum Voltage Overhead DC^2)*Line Losses*2*Area of Overhead DC Wire/((Power Transmitted^2)*Resistivity). 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, Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system, Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end & Resistivity is the measure of how strongly a material opposes the flow of current through them.

How to calculate Length of Wire using Line Losses(Two-Wire Mid-Point Earthed)?

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

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

Home

FREE PDFs

🔍 Search