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

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Resistance Overhead AC: 0.0028 Ohm --> 0.0028 Ohm No Conversion Required
Area of Overhead AC Wire: 0.79 Square Meter --> 0.79 Square Meter No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (sqrt(2)*R*A)/(ρ) --> (sqrt(2)*0.0028*0.79)/(1.7E-05)

Evaluating ... ...

L = 184.014141174664

STEP 3: Convert Result to Output's Unit

184.014141174664 Meter --> No Conversion Required

FINAL ANSWER

184.014141174664 ≈ 184.0141 Meter <-- Length of Overhead AC Wire

(Calculation completed in 00.004 seconds)

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< Wire Parameters Calculators

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

LaTeX 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))

Constant(Two-Phase Three-Wire OS)

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

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

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

Line Losses(Two-Phase Three-Wire OS)

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

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

LaTeX Go

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

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

Length of Wire using Resistance (Two-Phase Three-Wire OS) calculator uses Length of Overhead AC Wire = (sqrt(2)*Resistance Overhead AC*Area of Overhead AC Wire)/(Resistivity) to calculate the Length of Overhead AC Wire, The Length of Wire using Resistance (two-phase three-wire OS) formula is defined as the total length of the wire that used in the two-phase three-wire overhead system. Length of Overhead AC Wire is denoted by L symbol.

How to calculate Length of Wire using Resistance (Two-Phase Three-Wire OS) using this online calculator? To use this online calculator for Length of Wire using Resistance (Two-Phase Three-Wire OS), enter Resistance Overhead AC (R), Area of Overhead AC Wire (A) & Resistivity (ρ) and hit the calculate button. Here is how the Length of Wire using Resistance (Two-Phase Three-Wire OS) calculation can be explained with given input values -> 184.0141 = (sqrt(2)*0.0028*0.79)/(1.7E-05).

FAQ

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

The Length of Wire using Resistance (two-phase three-wire OS) formula is defined as the total length of the wire that used in the two-phase three-wire overhead system and is represented as L = (sqrt(2)*R*A)/(ρ) or Length of Overhead AC Wire = (sqrt(2)*Resistance Overhead AC*Area of Overhead AC Wire)/(Resistivity). Resistance Overhead AC is defined as the property of the wire or line that opposes the flow of current through it, Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system & Resistivity is the measure of how strongly a material opposes the flow of current through them.

How to calculate Length of Wire using Resistance (Two-Phase Three-Wire OS)?

The Length of Wire using Resistance (two-phase three-wire OS) formula is defined as the total length of the wire that used in the two-phase three-wire overhead system is calculated using Length of Overhead AC Wire = (sqrt(2)*Resistance Overhead AC*Area of Overhead AC Wire)/(Resistivity). To calculate Length of Wire using Resistance (Two-Phase Three-Wire OS), you need Resistance Overhead AC (R), Area of Overhead AC Wire (A) & Resistivity (ρ). With our tool, you need to enter the respective value for Resistance Overhead AC, Area of Overhead AC Wire & Resistivity 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 of Overhead AC Wire?

In this formula, Length of Overhead AC Wire uses Resistance Overhead AC, Area of Overhead AC Wire & Resistivity. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))
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)))
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)

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