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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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## Length Using Area Of X-Section (DC Three-Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
length = Area Of 3-wire DC system*Line Losses*(Maximum Voltage^2)/(2*Resistivity*(Power Transmitted^2))
l = a3*W*(Vm^2)/(2*ρ*(P^2))
This formula uses 5 Variables
Variables Used
Area Of 3-wire DC system - The Area Of 3-wire DC system is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
Line Losses - Line Losses is defined as the losses that are produced in the line. (Measured in Watt)
Maximum Voltage - Maximum Voltage the highest voltage rating for electrical devices (Measured in Volt)
Resistivity - Resistivity is the measure of how strongly a material opposes the flow of current through them. (Measured in Ohm Meter)
Power Transmitted - The Power Transmitted Value through a shaft. (Measured in Kilowatt)
STEP 1: Convert Input(s) to Base Unit
Area Of 3-wire DC system: 3 Square Meter --> 3 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: 10 Kilowatt --> 10000 Watt (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = a3*W*(Vm^2)/(2*ρ*(P^2)) --> 3*0.6*(60^2)/(2*1.7E-05*(10000^2))
Evaluating ... ...
l = 1.90588235294118
STEP 3: Convert Result to Output's Unit
1.90588235294118 Meter --> No Conversion Required
FINAL ANSWER
1.90588235294118 Meter <-- Length
(Calculation completed in 00.031 seconds)

## < 6 Area Of X-Section Calculators

Power Transmitted Using Area Of X-Section (DC Three-Wire US)
power_transmitted = sqrt(Area Of 3-wire DC system*Line Losses*(Maximum Voltage^2)/(2*Resistivity*Length)) Go
Maximum Voltage Using Area Of X-Section (DC Three-Wire US)
maximum_voltage = sqrt(2*(Power Transmitted^2)*Resistivity*Length/(Line Losses*Area Of 3-wire DC system)) Go
Resistivity Using Area Of X-Section (DC Three-Wire US)
resistivity = Area Of 3-wire DC system*Line Losses*(Maximum Voltage^2)/(2*Length*(Power Transmitted^2)) Go
Length Using Area Of X-Section (DC Three-Wire US)
length = Area Of 3-wire DC system*Line Losses*(Maximum Voltage^2)/(2*Resistivity*(Power Transmitted^2)) Go
Area Of X-Section (DC Three-Wire US)
area3 = 2*(Power Transmitted^2)*Resistivity*Length/(Line Losses*(Maximum Voltage^2)) Go
Line Losses Using Area Of X-Section (DC Three-Wire US)
line_losses = 2*(Current Of 3-wire DC system^2)*Resistivity*Length/(Area Of 3-wire DC system) Go

### Length Using Area Of X-Section (DC Three-Wire US) Formula

length = Area Of 3-wire DC system*Line Losses*(Maximum Voltage^2)/(2*Resistivity*(Power Transmitted^2))
l = a3*W*(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 = Area Of 3-wire DC system*Line Losses*(Maximum Voltage^2)/(2*Resistivity*(Power Transmitted^2)) to calculate the Length, 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 and 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 3-wire DC system (a3), Line Losses (W), Maximum Voltage (Vm), Resistivity (ρ) and 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 -> 1.905882 = 3*0.6*(60^2)/(2*1.7E-05*(10000^2)).

### 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 = a3*W*(Vm^2)/(2*ρ*(P^2)) or length = Area Of 3-wire DC system*Line Losses*(Maximum Voltage^2)/(2*Resistivity*(Power Transmitted^2)). The Area Of 3-wire DC system 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 and The Power Transmitted Value through a shaft.
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 = Area Of 3-wire DC system*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 3-wire DC system (a3), Line Losses (W), Maximum Voltage (Vm), Resistivity (ρ) and Power Transmitted (P). With our tool, you need to enter the respective value for Area Of 3-wire DC system, Line Losses, Maximum Voltage, Resistivity and 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?
In this formula, Length uses Area Of 3-wire DC system, Line Losses, Maximum Voltage, Resistivity and Power Transmitted. We can use 6 other way(s) to calculate the same, which is/are as follows -
• power_transmitted = sqrt(Area Of 3-wire DC system*Line Losses*(Maximum Voltage^2)/(2*Resistivity*Length))
• resistivity = Area Of 3-wire DC system*Line Losses*(Maximum Voltage^2)/(2*Length*(Power Transmitted^2))
• length = Area Of 3-wire DC system*Line Losses*(Maximum Voltage^2)/(2*Resistivity*(Power Transmitted^2))
• maximum_voltage = sqrt(2*(Power Transmitted^2)*Resistivity*Length/(Line Losses*Area Of 3-wire DC system))
• area3 = 2*(Power Transmitted^2)*Resistivity*Length/(Line Losses*(Maximum Voltage^2))
• line_losses = 2*(Current Of 3-wire DC system^2)*Resistivity*Length/(Area Of 3-wire DC system)
Where is the Length Using Area Of X-Section (DC Three-Wire US) calculator used?
Among many, Length Using Area Of X-Section (DC Three-Wire US) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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