Area using Line Losses (3 Phase 4 Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Underground AC Wire = (Current Underground AC^2)*2*Resistivity*Length of Underground AC Wire/Line Losses
A = (I^2)*2*ρ*L/Ploss
This formula uses 5 Variables
Variables Used
Area of Underground AC Wire - (Measured in Square Meter) - Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.
Current Underground AC - (Measured in Ampere) - Current Underground AC is defined as the current flowing through the overhead ac supply wire.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Length of Underground AC Wire - (Measured in Meter) - Length of Underground AC Wire 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 Underground AC line when in use.
STEP 1: Convert Input(s) to Base Unit
Current Underground AC: 9 Ampere --> 9 Ampere No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Underground AC Wire: 24 Meter --> 24 Meter No Conversion Required
Line Losses: 2.67 Watt --> 2.67 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (I^2)*2*ρ*L/Ploss --> (9^2)*2*1.7E-05*24/2.67
Evaluating ... ...
A = 0.0247550561797753
STEP 3: Convert Result to Output's Unit
0.0247550561797753 Square Meter --> No Conversion Required
FINAL ANSWER
0.0247550561797753 0.024755 Square Meter <-- Area of Underground AC Wire
(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Wire Parameters Calculators

Line Losses using Volume of Conductor Material (3 Phase 4 Wire US)
​ LaTeX ​ Go Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Underground AC Wire)^2/((Maximum Voltage Underground AC*cos(Phase Difference))^2*Volume Of Conductor)
Angle using Load Current (3 Phase 4 Wire US)
​ LaTeX ​ Go Phase Difference = acos(sqrt(6)*Power Transmitted/(3*Maximum Voltage Underground AC*Current Underground AC))
Constant using Volume of Conductor Material (3 Phase 4 Wire US)
​ LaTeX ​ Go Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/(1.75)
Area of X-Section using Volume of Conductor Material (3 Phase 4 Wire US)
​ LaTeX ​ Go Area of Underground AC Wire = Volume Of Conductor/((3.5)*Length of Underground AC Wire)

Area using Line Losses (3 Phase 4 Wire US) Formula

​LaTeX ​Go
Area of Underground AC Wire = (Current Underground AC^2)*2*Resistivity*Length of Underground AC Wire/Line Losses
A = (I^2)*2*ρ*L/Ploss

What is cross sectional area of cable?

Most wire is made with a circular cross-section of some particular radius and diameter. ... Then we define the cross-sectional area simply as the square of the wire's diameter in mils and call that our area in units of “circular mils.” This makes number handling ever so much easier.

How to Calculate Area using Line Losses (3 Phase 4 Wire US)?

Area using Line Losses (3 Phase 4 Wire US) calculator uses Area of Underground AC Wire = (Current Underground AC^2)*2*Resistivity*Length of Underground AC Wire/Line Losses to calculate the Area of Underground AC Wire, The Area using Line Losses (3 phase 4 wire US) 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 Underground AC Wire is denoted by A symbol.

How to calculate Area using Line Losses (3 Phase 4 Wire US) using this online calculator? To use this online calculator for Area using Line Losses (3 Phase 4 Wire US), enter Current Underground AC (I), Resistivity (ρ), Length of Underground AC Wire (L) & Line Losses (Ploss) and hit the calculate button. Here is how the Area using Line Losses (3 Phase 4 Wire US) calculation can be explained with given input values -> 0.024755 = (9^2)*2*1.7E-05*24/2.67.

FAQ

What is Area using Line Losses (3 Phase 4 Wire US)?
The Area using Line Losses (3 phase 4 wire US) 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 = (I^2)*2*ρ*L/Ploss or Area of Underground AC Wire = (Current Underground AC^2)*2*Resistivity*Length of Underground AC Wire/Line Losses. Current Underground AC is defined as the current flowing through the overhead ac supply wire, Resistivity is the measure of how strongly a material opposes the flow of current through them, Length of Underground AC Wire is the total length of the wire from one end to other end & Line Losses is defined as the total losses occurring in an Underground AC line when in use.
How to calculate Area using Line Losses (3 Phase 4 Wire US)?
The Area using Line Losses (3 phase 4 wire US) 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 Underground AC Wire = (Current Underground AC^2)*2*Resistivity*Length of Underground AC Wire/Line Losses. To calculate Area using Line Losses (3 Phase 4 Wire US), you need Current Underground AC (I), Resistivity (ρ), Length of Underground AC Wire (L) & Line Losses (Ploss). With our tool, you need to enter the respective value for Current Underground AC, Resistivity, Length of Underground AC Wire & Line Losses 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 Underground AC Wire?
In this formula, Area of Underground AC Wire uses Current Underground AC, Resistivity, Length of Underground AC Wire & Line Losses. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Area of Underground AC Wire = Volume Of Conductor/((3.5)*Length of Underground AC Wire)
  • Area of Underground AC Wire = (Power Transmitted^2)*2*Resistivity*Length of Underground AC Wire/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2))
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