Area of X-Section using Resistance (Two-Phase Three-Wire OS) Calculator

✖Resistance Overhead AC is defined as the property of the wire or line that opposes the flow of current through it.ⓘ Resistance Overhead AC [R]			+10% -10%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖Length of Overhead AC Wire is the total length of the wire from one end to other end.ⓘ Length of Overhead AC Wire [L]			+10% -10%

✖Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of X-Section using Resistance (Two-Phase Three-Wire OS) [A]

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Formula

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Area of X-Section using Resistance (Two-Phase Three-Wire OS)

Formula

`"A" = ("R"*sqrt(2))/("ρ"*"L")`

Example

`"21.91245m²"=("0.0028Ω"*sqrt(2))/("0.000017Ω*m"*"10.63m")`

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Area of X-Section using Resistance (Two-Phase Three-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Overhead AC Wire = (Resistance Overhead AC*sqrt(2))/(Resistivity*Length of Overhead AC Wire)
A = (R*sqrt(2))/(ρ*L)
This formula uses 1 Functions, 4 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

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.
Resistance Overhead AC - (Measured in Ohm) - Resistance Overhead AC is defined as the property of the wire or line that opposes the flow of current through it.
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.

STEP 1: Convert Input(s) to Base Unit

Resistance Overhead AC: 0.0028 Ohm --> 0.0028 Ohm 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (R*sqrt(2))/(ρ*L) --> (0.0028*sqrt(2))/(1.7E-05*10.63)

Evaluating ... ...

A = 21.9124452141258

STEP 3: Convert Result to Output's Unit

21.9124452141258 Square Meter --> No Conversion Required

FINAL ANSWER

21.9124452141258 ≈ 21.91245 Square Meter <-- Area of Overhead AC Wire

(Calculation completed in 00.004 seconds)

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< 15 Wire Parameters Calculators

Length using Volume of Conductor Material (Two-Phase Three-Wire OS)

Go Length of Overhead AC Wire = sqrt(2*Volume of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Overhead AC)^2/(Resistivity*((2+sqrt(2))*Power Transmitted^2)))

Line Losses using Area of X-Section(Two-Phase Three-Wire OS)

Go Line Losses = (Length of Overhead AC Wire*Resistivity*(Power Transmitted^2)*(2+sqrt(2)))/(2*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*((cos(Phase Difference))^2))

Length of Wire using Area of X-Section(Two-Phase Three-Wire OS)

Go Length of Overhead AC Wire = 2*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2)/((2+sqrt(2))*Resistivity*(Power Transmitted^2))

Area of X-Section(Two-Phase Three-Wire OS)

Go Area of Overhead AC Wire = (2+sqrt(2))*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*2*Line Losses*(Maximum Voltage Overhead AC^2))

Area of X-Section using Line Losses (Two-Phase Three-Wire OS)

Go Area of Overhead AC Wire = (2+sqrt(2))*Resistivity*Length of Overhead AC Wire*(Power Transmitted)^2/(2*Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2)

Length using Line Losses (Two-Phase Three-Wire OS)

Go Length of Overhead AC Wire = 2*Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((2+sqrt(2))*(Power Transmitted^2)*Resistivity)

Line Losses using Volume of Conductor Material (Two-Phase Three-Wire OS)

Go Line Losses = ((2+sqrt(2))*Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/((Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor)

Constant(Two-Phase Three-Wire OS)

Go Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*(Length of Overhead AC Wire)^2)/(Line Losses*(Voltage Overhead AC^2))

Area of X-Section using Resistance (Two-Phase Three-Wire OS)

Go Area of Overhead AC Wire = (Resistance Overhead AC*sqrt(2))/(Resistivity*Length of Overhead AC Wire)

Length of Wire using Resistance (Two-Phase Three-Wire OS)

Go Length of Overhead AC Wire = (sqrt(2)*Resistance Overhead AC*Area of Overhead AC Wire)/(Resistivity)

Area of X-Section using Volume of Conductor Material (Two-Phase Three-Wire OS)

Go Area of Overhead AC Wire = Volume of Conductor/((2+sqrt(2))*Length of Overhead AC Wire)

Volume of Conductor Material using Area of X-Section(Two-Phase Three-Wire OS)

Go Volume of Conductor = (2+sqrt(2))*Area of Overhead AC Wire*Length of Overhead AC Wire

Volume of Conductor Material(Two-Phase Three-Wire OS)

Go Volume of Conductor = (2+sqrt(2))*Area of Overhead AC Wire*Length of Overhead AC Wire

Constant using Volume of Conductor Material (Two-Phase Three-Wire OS)

Go Constant Overhead AC = Volume of Conductor*((cos(Phase Difference))^2)/(1.457)

Line Losses(Two-Phase Three-Wire OS)

Go Line Losses = (((Current Overhead AC)^2)*Resistance Overhead AC)*(2+sqrt(2))

Area of X-Section using Resistance (Two-Phase Three-Wire OS) Formula

Area of Overhead AC Wire = (Resistance Overhead AC*sqrt(2))/(Resistivity*Length of Overhead AC Wire)
A = (R*sqrt(2))/(ρ*L)

What is 2-phase 3-wire overhead system?

A 2-phase, 3-wire AC system has a middle conductor of the same cross-sectional area as the outer and supplies a load of 20 MW. The system is converted into 3-phase, 4-wire system by running a neutral wire. Calculate the new power which can be supplied if the voltage across the consumer terminal and percentage line losses remain the same.

How to Calculate Area of X-Section using Resistance (Two-Phase Three-Wire OS)?

Area of X-Section using Resistance (Two-Phase Three-Wire OS) calculator uses Area of Overhead AC Wire = (Resistance Overhead AC*sqrt(2))/(Resistivity*Length of Overhead AC Wire) to calculate the Area of Overhead AC Wire, The Area of X-Section using Resistance (two-phase three-wire 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 Resistance (Two-Phase Three-Wire OS) using this online calculator? To use this online calculator for Area of X-Section using Resistance (Two-Phase Three-Wire OS), enter Resistance Overhead AC (R), Resistivity (ρ) & Length of Overhead AC Wire (L) and hit the calculate button. Here is how the Area of X-Section using Resistance (Two-Phase Three-Wire OS) calculation can be explained with given input values -> 21.91245 = (0.0028*sqrt(2))/(1.7E-05*10.63).

FAQ

What is Area of X-Section using Resistance (Two-Phase Three-Wire OS)?

The Area of X-Section using Resistance (two-phase three-wire 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 = (R*sqrt(2))/(ρ*L) or Area of Overhead AC Wire = (Resistance Overhead AC*sqrt(2))/(Resistivity*Length of Overhead AC Wire). Resistance Overhead AC is defined as the property of the wire or line that opposes the flow of current through it, 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.

How to calculate Area of X-Section using Resistance (Two-Phase Three-Wire OS)?

The Area of X-Section using Resistance (two-phase three-wire 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 = (Resistance Overhead AC*sqrt(2))/(Resistivity*Length of Overhead AC Wire). To calculate Area of X-Section using Resistance (Two-Phase Three-Wire OS), you need Resistance Overhead AC (R), Resistivity (ρ) & Length of Overhead AC Wire (L). With our tool, you need to enter the respective value for Resistance Overhead AC, Resistivity & Length of Overhead AC Wire 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 Resistance Overhead AC, Resistivity & Length of Overhead AC Wire. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area of Overhead AC Wire = (2+sqrt(2))*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*2*Line Losses*(Maximum Voltage Overhead AC^2))
Area of Overhead AC Wire = Volume of Conductor/((2+sqrt(2))*Length of Overhead AC Wire)
Area of Overhead AC Wire = (2+sqrt(2))*Resistivity*Length of Overhead AC Wire*(Power Transmitted)^2/(2*Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2)

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