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 = (Vm^2)*Ploss*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 = (Vm^2)*Ploss*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 00.004 seconds)

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

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