Length using Volume of Conductor Material(DC Three-Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Wire DC = sqrt(Volume Of Conductor*Line Losses*(Maximum Voltage^2)/((5)*Resistivity*(Power Transmitted^2)))
l = sqrt(V*Pline*(Vm^2)/((5)*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 measurement or extent of something from end to end.
Volume Of Conductor - (Measured in Cubic Meter) - Volume Of Conductor the 3-dimensional space enclosed by a conductor material.
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
Volume Of Conductor: 35 Cubic Meter --> 35 Cubic 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 = sqrt(V*Pline*(Vm^2)/((5)*ρ*(P^2))) --> sqrt(35*0.6*(60^2)/((5)*1.7E-05*(300^2)))
Evaluating ... ...
l = 99.4100243495417
STEP 3: Convert Result to Output's Unit
99.4100243495417 Meter --> No Conversion Required
FINAL ANSWER
99.4100243495417 99.41002 Meter <-- Length of Wire DC
(Calculation completed in 00.007 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 Volume of Conductor Material(DC Three-Wire US) Formula

​LaTeX ​Go
Length of Wire DC = sqrt(Volume Of Conductor*Line Losses*(Maximum Voltage^2)/((5)*Resistivity*(Power Transmitted^2)))
l = sqrt(V*Pline*(Vm^2)/((5)*ρ*(P^2)))

What is a 3 wire dc system?

This is basically a combination of two series-connected unipolar DC systems. It consists of three conductors, two outer conductors (one is positive and the other is negative), and one middle conductor which acts as neutral.

How to Calculate Length using Volume of Conductor Material(DC Three-Wire US)?

Length using Volume of Conductor Material(DC Three-Wire US) calculator uses Length of Wire DC = sqrt(Volume Of Conductor*Line Losses*(Maximum Voltage^2)/((5)*Resistivity*(Power Transmitted^2))) to calculate the Length of Wire DC, The Length using Volume of Conductor Material(DC Three-Wire US) formula is defined as the total length of the wire that used in the 3-wire dc system. Length of Wire DC is denoted by l symbol.

How to calculate Length using Volume of Conductor Material(DC Three-Wire US) using this online calculator? To use this online calculator for Length using Volume of Conductor Material(DC Three-Wire US), enter Volume Of Conductor (V), Line Losses (Pline), Maximum Voltage (Vm), Resistivity (ρ) & Power Transmitted (P) and hit the calculate button. Here is how the Length using Volume of Conductor Material(DC Three-Wire US) calculation can be explained with given input values -> 99.41002 = sqrt(35*0.6*(60^2)/((5)*1.7E-05*(300^2))).

FAQ

What is Length using Volume of Conductor Material(DC Three-Wire US)?
The Length using Volume of Conductor Material(DC Three-Wire US) formula is defined as the total length of the wire that used in the 3-wire dc system and is represented as l = sqrt(V*Pline*(Vm^2)/((5)*ρ*(P^2))) or Length of Wire DC = sqrt(Volume Of Conductor*Line Losses*(Maximum Voltage^2)/((5)*Resistivity*(Power Transmitted^2))). Volume Of Conductor the 3-dimensional space enclosed by a conductor material, 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 Volume of Conductor Material(DC Three-Wire US)?
The Length using Volume of Conductor Material(DC Three-Wire US) formula is defined as the total length of the wire that used in the 3-wire dc system is calculated using Length of Wire DC = sqrt(Volume Of Conductor*Line Losses*(Maximum Voltage^2)/((5)*Resistivity*(Power Transmitted^2))). To calculate Length using Volume of Conductor Material(DC Three-Wire US), you need Volume Of Conductor (V), Line Losses (Pline), Maximum Voltage (Vm), Resistivity (ρ) & Power Transmitted (P). With our tool, you need to enter the respective value for Volume Of Conductor, 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 Volume Of Conductor, 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 = Area of underground dc wire*Line Losses*(Maximum Voltage^2)/(2*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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