Area of X-Section using Load Current (Single Phase Two Wire Mid-Point OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Overhead AC Wire = (2*Current Overhead AC^2*Resistivity*Length of Overhead AC Wire)/(Line Losses)
A = (2*I^2*ρ*L)/(Ploss)
This formula uses 5 Variables
Variables Used
Area of Overhead AC Wire - (Measured in Square Meter) - Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.
Current Overhead AC - (Measured in Ampere) - Current Overhead 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 Overhead AC Wire - (Measured in Meter) - Length of Overhead 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 Overhead AC line when in use.
STEP 1: Convert Input(s) to Base Unit
Current Overhead AC: 6.9 Ampere --> 6.9 Ampere No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Overhead AC Wire: 10.63 Meter --> 10.63 Meter No Conversion Required
Line Losses: 8.23 Watt --> 8.23 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (2*I^2*ρ*L)/(Ploss) --> (2*6.9^2*1.7E-05*10.63)/(8.23)
Evaluating ... ...
A = 0.00209079054678007
STEP 3: Convert Result to Output's Unit
0.00209079054678007 Square Meter --> No Conversion Required
FINAL ANSWER
0.00209079054678007 0.002091 Square Meter <-- Area of Overhead AC Wire
(Calculation completed in 00.004 seconds)

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

Length of Wire using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)
​ LaTeX ​ Go Length of Overhead AC Wire = (Area of Overhead AC Wire*Maximum Voltage Overhead AC^2*Line Losses*cos(Phase Difference)^2)/(Resistivity*Power Transmitted^2)
Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)
​ LaTeX ​ Go Line Losses = (Length of Overhead AC Wire*Resistivity*Power Transmitted^2)/(Area of Overhead AC Wire*Maximum Voltage Overhead AC^2*cos(Phase Difference)^2)
Area of X-Section(Single Phase Two Wire Mid-Point Earthed)
​ LaTeX ​ Go Area of Overhead AC Wire = (Power Transmitted^2*Resistivity*Length of Overhead AC Wire)/(((cos(Phase Difference))^2)*Line Losses*Voltage Overhead AC^2)
Constant (Single Phase Two Wire Mid-Point Earthed)
​ LaTeX ​ Go Constant Overhead AC = (4*Power Transmitted^2*Resistivity*Length of Overhead AC Wire)/(Line Losses*Voltage Overhead AC^2)

Area of X-Section using Load Current (Single Phase Two Wire Mid-Point OS) Formula

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

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 1/2cos2θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is 2vm so that r.m.s. value of voltage between them is √2vm.

How to Calculate Area of X-Section using Load Current (Single Phase Two Wire Mid-Point OS)?

Area of X-Section using Load Current (Single Phase Two Wire Mid-Point OS) calculator uses Area of Overhead AC Wire = (2*Current Overhead AC^2*Resistivity*Length of Overhead AC Wire)/(Line Losses) to calculate the Area of Overhead AC Wire, The Area of X-Section using Load Current (single Phase two Wire Mid-Point OS) 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 AC Wire is denoted by A symbol.

How to calculate Area of X-Section using Load Current (Single Phase Two Wire Mid-Point OS) using this online calculator? To use this online calculator for Area of X-Section using Load Current (Single Phase Two Wire Mid-Point OS), enter Current Overhead AC (I), Resistivity (ρ), Length of Overhead AC Wire (L) & Line Losses (Ploss) and hit the calculate button. Here is how the Area of X-Section using Load Current (Single Phase Two Wire Mid-Point OS) calculation can be explained with given input values -> 0.002091 = (2*6.9^2*1.7E-05*10.63)/(8.23).

FAQ

What is Area of X-Section using Load Current (Single Phase Two Wire Mid-Point OS)?
The Area of X-Section using Load Current (single Phase two Wire Mid-Point OS) 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 = (2*I^2*ρ*L)/(Ploss) or Area of Overhead AC Wire = (2*Current Overhead AC^2*Resistivity*Length of Overhead AC Wire)/(Line Losses). Current Overhead 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 Overhead 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 Overhead AC line when in use.
How to calculate Area of X-Section using Load Current (Single Phase Two Wire Mid-Point OS)?
The Area of X-Section using Load Current (single Phase two Wire Mid-Point OS) 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 AC Wire = (2*Current Overhead AC^2*Resistivity*Length of Overhead AC Wire)/(Line Losses). To calculate Area of X-Section using Load Current (Single Phase Two Wire Mid-Point OS), you need Current Overhead AC (I), Resistivity (ρ), Length of Overhead AC Wire (L) & Line Losses (Ploss). With our tool, you need to enter the respective value for Current Overhead AC, Resistivity, Length of Overhead 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 Overhead AC Wire?
In this formula, Area of Overhead AC Wire uses Current Overhead AC, Resistivity, Length of Overhead AC Wire & Line Losses. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Area of Overhead AC Wire = (Power Transmitted^2*Resistivity*Length of Overhead AC Wire)/(((cos(Phase Difference))^2)*Line Losses*Voltage Overhead AC^2)
  • Area of Overhead AC Wire = (Resistivity*Length of Overhead AC Wire*Power Transmitted^2)/(Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2)
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