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

STEP 0: Pre-Calculation Summary
Formula Used
Area of Overhead DC Wire = (Power Transmitted^2)*Resistivity*Length of Wire DC/(2*Line Losses*(Maximum Voltage Overhead DC^2))
A = (P^2)*ρ*L/(2*Ploss*(Vm^2))
This formula uses 6 Variables
Variables Used
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.
Length of Wire DC - (Measured in Meter) - Length of Wire DC is the total length of the wire from one end to other end.
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.
STEP 1: Convert Input(s) to Base Unit
Power Transmitted: 920 Watt --> 920 Watt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Wire DC: 12.7 Meter --> 12.7 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (P^2)*ρ*L/(2*Ploss*(Vm^2)) --> (920^2)*1.7E-05*12.7/(2*0.74*(60.26^2))
Evaluating ... ...
A = 0.0340023025181233
STEP 3: Convert Result to Output's Unit
0.0340023025181233 Square Meter --> No Conversion Required
FINAL ANSWER
0.0340023025181233 0.034002 Square Meter <-- Area of Overhead DC Wire
(Calculation completed in 00.004 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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

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

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

What is the value of maximum voltage and volume of conductor material in this system?

The volume of conductor material required in this system is 1/4 times that of a 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is 2vm.

How to Calculate Area of X-Section(Two-Wire Mid-Point Earthed)?

Area of X-Section(Two-Wire Mid-Point Earthed) calculator uses Area of Overhead DC Wire = (Power Transmitted^2)*Resistivity*Length of Wire DC/(2*Line Losses*(Maximum Voltage Overhead DC^2)) to calculate the Area of Overhead DC Wire, The Area of X-Section(Two-Wire Mid-point Earthed) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier. Area of Overhead DC Wire is denoted by A symbol.

How to calculate Area of X-Section(Two-Wire Mid-Point Earthed) using this online calculator? To use this online calculator for Area of X-Section(Two-Wire Mid-Point Earthed), enter Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Line Losses (Ploss) & Maximum Voltage Overhead DC (Vm) and hit the calculate button. Here is how the Area of X-Section(Two-Wire Mid-Point Earthed) calculation can be explained with given input values -> 0.034002 = (920^2)*1.7E-05*12.7/(2*0.74*(60.26^2)).

FAQ

What is Area of X-Section(Two-Wire Mid-Point Earthed)?
The Area of X-Section(Two-Wire Mid-point Earthed) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier and is represented as A = (P^2)*ρ*L/(2*Ploss*(Vm^2)) or Area of Overhead DC Wire = (Power Transmitted^2)*Resistivity*Length of Wire DC/(2*Line Losses*(Maximum Voltage Overhead DC^2)). 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, Length of Wire DC is the total length of the wire from one end to other end, 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.
How to calculate Area of X-Section(Two-Wire Mid-Point Earthed)?
The Area of X-Section(Two-Wire Mid-point Earthed) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier is calculated using Area of Overhead DC Wire = (Power Transmitted^2)*Resistivity*Length of Wire DC/(2*Line Losses*(Maximum Voltage Overhead DC^2)). To calculate Area of X-Section(Two-Wire Mid-Point Earthed), you need Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Line Losses (Ploss) & Maximum Voltage Overhead DC (Vm). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length of Wire DC, Line Losses & Maximum Voltage Overhead DC 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 Area of Overhead DC Wire?
In this formula, Area of Overhead DC Wire uses Power Transmitted, Resistivity, Length of Wire DC, Line Losses & Maximum Voltage Overhead DC. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Area of Overhead DC Wire = (Power Transmitted^2)*(Resistivity*Length of Wire DC)/(Line Losses*2*(Maximum Voltage Overhead DC^2))
  • Area of Overhead DC Wire = Volume of Conductor/(2*Length of Wire DC)
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