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Length using Load Current (Single-Phase Three-Wire OS) Formula

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

GoLength using Line Losses (Single-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 = P loss \cdot \frac{A}{2 \cdot (I^{2}) \cdot ρ}

L - Length of Overhead AC Wire?P_loss - Line Losses?A - Area of Overhead AC Wire?I - Current Overhead AC?ρ - Resistivity?

Length using Load Current (Single-Phase Three-Wire OS) Example

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Here is how the Length using Load Current (Single-Phase Three-Wire OS) equation looks like with Values.

Here is how the Length using Load Current (Single-Phase Three-Wire OS) equation looks like with Units.

Here is how the Length using Load Current (Single-Phase Three-Wire OS) equation looks like.

4016.519 = 8.23 \cdot \frac{0.79}{2 \cdot ({6.9}^{2}) \cdot 1.7E-5}

4016.519m = 8.23W \cdot \frac{0.79m²}{2 \cdot ({6.9A}^{2}) \cdot 1.7E-5Ω*m}

4016.519 = 8.23 \cdot \frac{0.79}{2 \cdot ({6.9}^{2}) \cdot 1.7E-5}

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Length using Load Current (Single-Phase Three-Wire OS) Solution

Follow our step by step solution on how to calculate Length using Load Current (Single-Phase Three-Wire OS)?

FIRST Step Consider the formula

L = P loss \cdot \frac{A}{2 \cdot (I^{2}) \cdot ρ}

Next Step Substitute values of Variables

∴

L = 8.23W \cdot \frac{0.79m²}{2 \cdot ({6.9A}^{2}) \cdot 1.7E-5Ω*m}

Next Step Prepare to Evaluate

∴

L = 8.23 \cdot \frac{0.79}{2 \cdot ({6.9}^{2}) \cdot 1.7E-5}

Next Step Evaluate

∴

L = 4016.51902096692m

LAST Step Rounding Answer

∴

L = 4016.519m

Length using Load Current (Single-Phase Three-Wire OS) Formula Elements

Variables

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.

Line Losses

Line Losses is defined as the total losses occurring in an Overhead AC line when in use.

Symbol: P_loss

Measurement: PowerUnit: W

Note: Value can be positive or negative.

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.

Current Overhead AC

Current Overhead AC is defined as the current flowing through the overhead ac supply wire.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

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.

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Formula and 1500+ more formulas!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Formula and 1200+ more formulas!

Other Formulas to find Length of Overhead AC Wire

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

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

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

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

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

L = \sqrt{V \cdot P loss \cdot \frac{{(\cos (Φ) \cdot V m)}^{2}}{(2.5) \cdot ρ \cdot (P^{2})}}

Other formulas in Wire Parameters category

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

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

Go Constant(Single-Phase Three-Wire OS)

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

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

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

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

V = (2.5) \cdot A \cdot L

How to Evaluate Length using Load Current (Single-Phase Three-Wire OS)?

Length using Load Current (Single-Phase Three-Wire OS) evaluator uses Length of Overhead AC Wire = Line Losses*Area of Overhead AC Wire/(2*(Current Overhead AC^2)*Resistivity) to evaluate the Length of Overhead AC Wire, The Length using Load Current (single-Phase three-Wire OS) formula is defined as the total length of the wire that used in the single-phase three-wire system. Length of Overhead AC Wire is denoted by L symbol.

How to evaluate Length using Load Current (Single-Phase Three-Wire OS) using this online evaluator? To use this online evaluator for Length using Load Current (Single-Phase Three-Wire OS), enter Line Losses (P_loss), Area of Overhead AC Wire (A), Current Overhead AC (I) & Resistivity (ρ) and hit the calculate button.

FAQs on Length using Load Current (Single-Phase Three-Wire OS)

What is the formula to find Length using Load Current (Single-Phase Three-Wire OS)?

The formula of Length using Load Current (Single-Phase Three-Wire OS) is expressed as Length of Overhead AC Wire = Line Losses*Area of Overhead AC Wire/(2*(Current Overhead AC^2)*Resistivity). Here is an example- 4016.519 = 8.23*0.79/(2*(6.9^2)*1.7E-05).

How to calculate Length using Load Current (Single-Phase Three-Wire OS)?

With Line Losses (P_loss), Area of Overhead AC Wire (A), Current Overhead AC (I) & Resistivity (ρ) we can find Length using Load Current (Single-Phase Three-Wire OS) using the formula - Length of Overhead AC Wire = Line Losses*Area of Overhead AC Wire/(2*(Current Overhead AC^2)*Resistivity).

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=Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2)/(Resistivity*(Power Transmitted^2))
Length of Overhead AC Wire=Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted^2)*Resistivity)
Length of Overhead AC Wire=sqrt(Volume of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Overhead AC)^2/((2.5)*Resistivity*(Power Transmitted^2)))

Can the Length using Load Current (Single-Phase Three-Wire OS) be negative?

No, the Length using Load Current (Single-Phase Three-Wire OS), measured in Length cannot be negative.

Which unit is used to measure Length using Load Current (Single-Phase Three-Wire OS)?

Length using Load Current (Single-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 using Load Current (Single-Phase Three-Wire OS) can be measured.

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Length using Load Current (Single-Phase Three-Wire OS) Formula

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

​GoLength using Line Losses (Single-Phase Three-Wire OS) Formula

Length using Load Current (Single-Phase Three-Wire OS) Example

Length using Load Current (Single-Phase Three-Wire OS) Solution

Length using Load Current (Single-Phase Three-Wire OS) Formula Elements

Credits

Other Formulas to find Length of Overhead AC Wire

Other formulas in Wire Parameters category

How to Evaluate Length using Load Current (Single-Phase Three-Wire OS)?

FAQs on Length using Load Current (Single-Phase Three-Wire OS)

Variable Name

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

GoLength using Line Losses (Single-Phase Three-Wire OS) Formula