Length using Area of X-Section (DC Three-Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Wire DC = Area of underground dc wire*Line Losses*(Maximum Voltage^2)/(2*Resistivity*(Power Transmitted^2))
l = A*Pline*(Vm^2)/(2*ρ*(P^2))
This formula uses 6 Variables
Variables Used
Length of Wire DC - (Measured in Meter) - Length of Wire DC is the measurement or extent of something from end to end.
Area of underground dc wire - (Measured in Square Meter) - The Area of underground dc wire is the amount of two-dimensional space taken up by an object.
Line Losses - (Measured in Watt) - Line Losses is defined as the losses that are produced in the line.
Maximum Voltage - (Measured in Volt) - Maximum Voltage the highest voltage rating for electrical devices.
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 the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.
STEP 1: Convert Input(s) to Base Unit
Area of underground dc wire: 0.32 Square Meter --> 0.32 Square Meter No Conversion Required
Line Losses: 0.6 Watt --> 0.6 Watt No Conversion Required
Maximum Voltage: 60 Volt --> 60 Volt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = A*Pline*(Vm^2)/(2*ρ*(P^2)) --> 0.32*0.6*(60^2)/(2*1.7E-05*(300^2))
Evaluating ... ...
l = 225.882352941176
STEP 3: Convert Result to Output's Unit
225.882352941176 Meter --> No Conversion Required
FINAL ANSWER
225.882352941176 225.8824 Meter <-- Length of Wire DC
(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Wire Parameters Calculators

Length using Volume of Conductor Material(DC Three-Wire US)
​ LaTeX ​ Go Length of Wire DC = sqrt(Volume Of Conductor*Line Losses*(Maximum Voltage^2)/((5)*Resistivity*(Power Transmitted^2)))
Line Losses using Volume of Conductor Material(DC Three-Wire US)
​ LaTeX ​ Go Line Losses = 5*Resistivity*((Power Transmitted*Length of Wire DC)^2)/(Volume Of Conductor*(Maximum Voltage^2))
Area of X-section using Volume of Conductor Material(DC Three-Wire US)
​ LaTeX ​ Go Area of underground dc wire = Volume Of Conductor/(2.5*Length of Wire DC)
Constant using Volume of Conductor Material(DC Three-Wire US)
​ LaTeX ​ Go Constant underground dc = Volume Of Conductor/(1.25)

Length using Area of X-Section (DC Three-Wire US) Formula

​LaTeX ​Go
Length of Wire DC = Area of underground dc wire*Line Losses*(Maximum Voltage^2)/(2*Resistivity*(Power Transmitted^2))
l = A*Pline*(Vm^2)/(2*ρ*(P^2))

What is the volume of conductor material in DC Three-Wire underground system?

The volume of conductor material required in this system is 1.25 times that of a 2-wire d.c.system with the one conductor earthed.

How to Calculate Length using Area of X-Section (DC Three-Wire US)?

Length using Area of X-Section (DC Three-Wire US) calculator uses Length of Wire DC = Area of underground dc wire*Line Losses*(Maximum Voltage^2)/(2*Resistivity*(Power Transmitted^2)) to calculate the Length of Wire DC, The Length using Area of X-Section (DC Three-Wire US) formula is defined as the total length of the wire that used in the DC Three-Wire system. Length of Wire DC is denoted by l symbol.

How to calculate Length using Area of X-Section (DC Three-Wire US) using this online calculator? To use this online calculator for Length using Area of X-Section (DC Three-Wire US), enter Area of underground dc wire (A), Line Losses (Pline), Maximum Voltage (Vm), Resistivity (ρ) & Power Transmitted (P) and hit the calculate button. Here is how the Length using Area of X-Section (DC Three-Wire US) calculation can be explained with given input values -> 225.8824 = 0.32*0.6*(60^2)/(2*1.7E-05*(300^2)).

FAQ

What is Length using Area of X-Section (DC Three-Wire US)?
The Length using Area of X-Section (DC Three-Wire US) formula is defined as the total length of the wire that used in the DC Three-Wire system and is represented as l = A*Pline*(Vm^2)/(2*ρ*(P^2)) or Length of Wire DC = Area of underground dc wire*Line Losses*(Maximum Voltage^2)/(2*Resistivity*(Power Transmitted^2)). The Area of underground dc wire is the amount of two-dimensional space taken up by an object, Line Losses is defined as the losses that are produced in the line, Maximum Voltage the highest voltage rating for electrical devices, Resistivity is the measure of how strongly a material opposes the flow of current through them & Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.
How to calculate Length using Area of X-Section (DC Three-Wire US)?
The Length using Area of X-Section (DC Three-Wire US) formula is defined as the total length of the wire that used in the DC Three-Wire system is calculated using Length of Wire DC = Area of underground dc wire*Line Losses*(Maximum Voltage^2)/(2*Resistivity*(Power Transmitted^2)). To calculate Length using Area of X-Section (DC Three-Wire US), you need Area of underground dc wire (A), Line Losses (Pline), Maximum Voltage (Vm), Resistivity (ρ) & Power Transmitted (P). With our tool, you need to enter the respective value for Area of underground dc wire, Line Losses, Maximum Voltage, 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 Area of underground dc wire, Line Losses, Maximum Voltage, Resistivity & Power Transmitted. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Length of Wire DC = sqrt(Volume Of Conductor*Line Losses*(Maximum Voltage^2)/((5)*Resistivity*(Power Transmitted^2)))
  • Length of Wire DC = Area of underground dc wire*Line Losses/(2*Resistivity*(Current underground DC^2))
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