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

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

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

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Length of Overhead AC Wire is the total length of the wire from one end to other end. Check FAQs

L = \frac{\sqrt{2} \cdot R \cdot A}{ρ}

L - Length of Overhead AC Wire?R - Resistance Overhead AC?A - Area of Overhead AC Wire?ρ - Resistivity?

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

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Here is how the Length of Wire using Resistance (Two-Phase Three-Wire OS) equation looks like with Values.

Here is how the Length of Wire using Resistance (Two-Phase Three-Wire OS) equation looks like with Units.

Here is how the Length of Wire using Resistance (Two-Phase Three-Wire OS) equation looks like.

184.0141 = \frac{\sqrt{2} \cdot 0.0028 \cdot 0.79}{1.7E-5}

184.0141m = \frac{\sqrt{2} \cdot 0.0028Ω \cdot 0.79m²}{1.7E-5Ω*m}

184.0141 = \frac{\sqrt{2} \cdot 0.0028 \cdot 0.79}{1.7E-5}

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

Follow our step by step solution on how to calculate Length of Wire using Resistance (Two-Phase Three-Wire OS)?

FIRST Step Consider the formula

L = \frac{\sqrt{2} \cdot R \cdot A}{ρ}

Next Step Substitute values of Variables

∴

L = \frac{\sqrt{2} \cdot 0.0028Ω \cdot 0.79m²}{1.7E-5Ω*m}

Next Step Prepare to Evaluate

∴

L = \frac{\sqrt{2} \cdot 0.0028 \cdot 0.79}{1.7E-5}

Next Step Evaluate

∴

L = 184.014141174664m

LAST Step Rounding Answer

∴

L = 184.0141m

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

Variables

Functions

Length of Overhead AC Wire

Length of Overhead AC Wire is the total length of the wire from one end to other end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Overhead AC Wire

Resistance Overhead AC

Resistance Overhead AC is defined as the property of the wire or line that opposes the flow of current through it.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance Overhead AC

Area of Overhead AC Wire

Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Overhead AC Wire

Resistivity

Resistivity is the measure of how strongly a material opposes the flow of current through them.

Symbol: ρ

Measurement: Electric ResistivityUnit: Ω*m

Note: Value can be positive or negative.

Formulas to find Resistivity

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.

Syntax: sqrt(Number)

Other Formulas to find Length of Overhead AC Wire

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

L = 2 \cdot A \cdot ({V m}^{2}) \cdot P loss \cdot \frac{{(\cos (Φ))}^{2}}{(2 + \sqrt{2}) \cdot ρ \cdot (P^{2})}

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

L = \sqrt{2 \cdot V \cdot P loss \cdot \frac{{(\cos (Φ) \cdot V m)}^{2}}{ρ \cdot ((2 + \sqrt{2}) \cdot P^{2})}}

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

L = 2 \cdot P loss \cdot A \cdot \frac{{(V m \cdot \cos (Φ))}^{2}}{(2 + \sqrt{2}) \cdot (P^{2}) \cdot ρ}

Other formulas in Wire Parameters category

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

A = (2 + \sqrt{2}) \cdot (P^{2}) \cdot ρ \cdot \frac{L}{({(\cos (Φ))}^{2}) \cdot 2 \cdot P loss \cdot ({V m}^{2})}

Go Constant(Two-Phase Three-Wire OS)

K = \frac{4 \cdot (P^{2}) \cdot ρ \cdot {(L)}^{2}}{P loss \cdot ({V ac}^{2})}

Go Line Losses(Two-Phase Three-Wire OS)

P loss = (({(I)}^{2}) \cdot R) \cdot (2 + \sqrt{2})

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

V = (2 + \sqrt{2}) \cdot A \cdot L

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

Length of Wire using Resistance (Two-Phase Three-Wire OS) evaluator uses Length of Overhead AC Wire = (sqrt(2)*Resistance Overhead AC*Area of Overhead AC Wire)/(Resistivity) to evaluate 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 evaluate Length of Wire using Resistance (Two-Phase Three-Wire OS) using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Length of Wire using Resistance (Two-Phase Three-Wire OS)?

The formula of Length of Wire using Resistance (Two-Phase Three-Wire OS) is expressed as Length of Overhead AC Wire = (sqrt(2)*Resistance Overhead AC*Area of Overhead AC Wire)/(Resistivity). Here is an example- 184.0141 = (sqrt(2)*0.0028*0.79)/(1.7E-05).

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

With Resistance Overhead AC (R), Area of Overhead AC Wire (A) & Resistivity (ρ) we can find Length of Wire using Resistance (Two-Phase Three-Wire OS) using the formula - Length of Overhead AC Wire = (sqrt(2)*Resistance Overhead AC*Area of Overhead AC Wire)/(Resistivity). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Length of Overhead AC Wire?

Here are the different ways to Calculate Length of Overhead AC Wire-

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)

Can the Length of Wire using Resistance (Two-Phase Three-Wire OS) be negative?

No, the Length of Wire using Resistance (Two-Phase Three-Wire OS), measured in Length cannot be negative.

Which unit is used to measure Length of Wire using Resistance (Two-Phase Three-Wire OS)?

Length of Wire using Resistance (Two-Phase Three-Wire OS) is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Wire using Resistance (Two-Phase Three-Wire OS) can be measured.

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