Area of X-Section using Resistance (3-Phase 4-Wire OS) Calculator

✖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%
✖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%

✖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 (3-Phase 4-Wire OS) [A]

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Formula

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Area of X-Section using Resistance (3-Phase 4-Wire OS)

Formula

`"A" = "ρ"*"L"/"R"`

Example

`"0.064539m²"="0.000017Ω*m"*"10.63m"/"0.0028Ω"`

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Area of X-Section using Resistance (3-Phase 4-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire/Resistance Overhead AC
A = ρ*L/R
This formula uses 4 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Resistance Overhead AC: 0.0028 Ohm --> 0.0028 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = ρ*L/R --> 1.7E-05*10.63/0.0028

Evaluating ... ...

A = 0.0645392857142857

STEP 3: Convert Result to Output's Unit

0.0645392857142857 Square Meter --> No Conversion Required

FINAL ANSWER

0.0645392857142857 ≈ 0.064539 Square Meter <-- Area of Overhead AC Wire

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Overhead AC Supply » 3-Φ 4-Wire System » Wire Parameters » Area of X-Section using Resistance (3-Phase 4-Wire OS)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Osmania University (OU), Hyderabad

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< 13 Wire Parameters Calculators

Line Losses using Area of X-Section(3-Phase 4-Wire OS)

Go Line Losses = (2*Length of Overhead AC Wire*Resistivity*(Power Transmitted^2))/(3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*((cos(Phase Difference))^2))

Length of Wire using Area of X-Section(3-Phase 4-Wire OS)

Go Length of Overhead AC Wire = 3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2)/(2*Resistivity*(Power Transmitted^2))

Area of X-Section(3-Phase 4-Wire OS)

Go Area of Overhead AC Wire = 2*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*Line Losses*3*(Maximum Voltage Overhead AC^2))

Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS)

Go Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/(3*(Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor)

Length using Volume of Conductor Material (3-Phase 4-Wire OS)

Go Length of Overhead AC Wire = 3*Volume of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Overhead AC)^2/(7*Resistivity*(Power Transmitted^2))

Constant(3-Phase 4-Wire OS)

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

Length of Wire using Resistance (3-Phase 4-Wire OS)

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

Area of X-Section using Resistance (3-Phase 4-Wire OS)

Go Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire/Resistance Overhead AC

Constant using Volume of Conductor Material (3-Phase 4-Wire OS)

Go Constant Overhead AC = Volume of Conductor*(cos(Phase Difference))^2/(0.583)

Volume of Conductor Material using Constant(3-Phase 4-Wire OS)

Go Volume of Conductor = 7*Constant Overhead AC/(12*(cos(Phase Difference)^2))

Area of X-section using Volume of Conductor Material (3-Phase 4-Wire OS)

Go Area of Overhead AC Wire = Volume of Conductor/((3.5)*Length of Overhead AC Wire)

Volume of Conductor Material(3-Phase 4-Wire OS)

Go Volume of Conductor = (3.5)*Area of Overhead AC Wire*Length of Overhead AC Wire

Line Losses(3-Phase 4-Wire OS)

Go Line Losses = (3)*((Current Overhead AC)^2)*Resistance Overhead AC

Area of X-Section using Resistance (3-Phase 4-Wire OS) Formula

Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire/Resistance Overhead AC
A = ρ*L/R

Why do we use 3 phase 4 wire?

The function of neutral wire in the 3 phase 4 wire system is to serve as a return wire for the general domestic supply system. The neutral is paired to each of the single-phase loads.

How to Calculate Area of X-Section using Resistance (3-Phase 4-Wire OS)?

Area of X-Section using Resistance (3-Phase 4-Wire OS) calculator uses Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire/Resistance Overhead AC to calculate the Area of Overhead AC Wire, The Area of X-Section using Resistance (3-phase 4-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 (3-Phase 4-Wire OS) using this online calculator? To use this online calculator for Area of X-Section using Resistance (3-Phase 4-Wire OS), enter Resistivity (ρ), Length of Overhead AC Wire (L) & Resistance Overhead AC (R) and hit the calculate button. Here is how the Area of X-Section using Resistance (3-Phase 4-Wire OS) calculation can be explained with given input values -> 0.064539 = 1.7E-05*10.63/0.0028.

FAQ

What is Area of X-Section using Resistance (3-Phase 4-Wire OS)?

The Area of X-Section using Resistance (3-phase 4-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 = ρ*L/R or Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire/Resistance Overhead AC. 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 & Resistance Overhead AC is defined as the property of the wire or line that opposes the flow of current through it.

How to calculate Area of X-Section using Resistance (3-Phase 4-Wire OS)?

The Area of X-Section using Resistance (3-phase 4-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 = Resistivity*Length of Overhead AC Wire/Resistance Overhead AC. To calculate Area of X-Section using Resistance (3-Phase 4-Wire OS), you need Resistivity (ρ), Length of Overhead AC Wire (L) & Resistance Overhead AC (R). With our tool, you need to enter the respective value for Resistivity, Length of Overhead AC Wire & Resistance Overhead AC 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 Resistivity, Length of Overhead AC Wire & Resistance Overhead AC. We can use 2 other way(s) to calculate the same, which is/are as follows -

Area of Overhead AC Wire = 2*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*Line Losses*3*(Maximum Voltage Overhead AC^2))
Area of Overhead AC Wire = Volume of Conductor/((3.5)*Length of Overhead AC Wire)

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