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

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

GoLength of Wire using Resistance (3-Phase 4-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 = 3 \cdot A \cdot ({V m}^{2}) \cdot P loss \cdot \frac{{(\cos (Φ))}^{2}}{2 \cdot ρ \cdot (P^{2})}

L - Length of Overhead AC Wire?A - Area of Overhead AC Wire?V_m - Maximum Voltage Overhead AC?P_loss - Line Losses?Φ - Phase Difference?ρ - Resistivity?P - Power Transmitted?

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

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Here is how the Length of Wire using Area of X-Section(3-Phase 4-Wire OS) equation looks like with Values.

Here is how the Length of Wire using Area of X-Section(3-Phase 4-Wire OS) equation looks like with Units.

Here is how the Length of Wire using Area of X-Section(3-Phase 4-Wire OS) equation looks like.

2088.0163 = 3 \cdot 0.79 \cdot (62^{2}) \cdot 8.23 \cdot \frac{{(\cos (30))}^{2}}{2 \cdot 1.7E-5 \cdot (890^{2})}

2088.0163m = 3 \cdot 0.79m² \cdot ({62V}^{2}) \cdot 8.23W \cdot \frac{{(\cos (30°))}^{2}}{2 \cdot 1.7E-5Ω*m \cdot ({890W}^{2})}

2088.0163 = 3 \cdot 0.79 \cdot (62^{2}) \cdot 8.23 \cdot \frac{{(\cos (30))}^{2}}{2 \cdot 1.7E-5 \cdot (890^{2})}

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

Follow our step by step solution on how to calculate Length of Wire using Area of X-Section(3-Phase 4-Wire OS)?

FIRST Step Consider the formula

L = 3 \cdot A \cdot ({V m}^{2}) \cdot P loss \cdot \frac{{(\cos (Φ))}^{2}}{2 \cdot ρ \cdot (P^{2})}

Next Step Substitute values of Variables

∴

L = 3 \cdot 0.79m² \cdot ({62V}^{2}) \cdot 8.23W \cdot \frac{{(\cos (30°))}^{2}}{2 \cdot 1.7E-5Ω*m \cdot ({890W}^{2})}

Next Step Convert Units

∴

L = 3 \cdot 0.79m² \cdot ({62V}^{2}) \cdot 8.23W \cdot \frac{{(\cos (0.5236rad))}^{2}}{2 \cdot 1.7E-5Ω*m \cdot ({890W}^{2})}

Next Step Prepare to Evaluate

∴

L = 3 \cdot 0.79 \cdot (62^{2}) \cdot 8.23 \cdot \frac{{(\cos (0.5236))}^{2}}{2 \cdot 1.7E-5 \cdot (890^{2})}

Next Step Evaluate

∴

L = 2088.01634151956m

LAST Step Rounding Answer

∴

L = 2088.0163m

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

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

Maximum Voltage Overhead AC

Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

Symbol: V_m

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Maximum Voltage Overhead AC

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.

Formulas to find Line Losses

Phase Difference

Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Phase Difference

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

Power Transmitted

Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power Transmitted

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Length of Overhead AC Wire

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

L = 3 \cdot V \cdot P loss \cdot \frac{{(\cos (Φ) \cdot V m)}^{2}}{7 \cdot ρ \cdot (P^{2})}

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

L = \frac{R \cdot A}{ρ}

Other formulas in Wire Parameters category

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

A = 2 \cdot (P^{2}) \cdot ρ \cdot \frac{L}{({(\cos (Φ))}^{2}) \cdot P loss \cdot 3 \cdot ({V m}^{2})}

Go Constant(3-Phase 4-Wire OS)

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

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

Length of Wire using Area of X-Section(3-Phase 4-Wire OS) evaluator uses 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)) to evaluate the Length of Overhead AC Wire, The Length of Wire using Area of X-section(3-phase 4-wire OS) formula is defined as the total length of the wire that used in the Three-phase four-wire system. Length of Overhead AC Wire is denoted by L symbol.

How to evaluate Length of Wire using Area of X-Section(3-Phase 4-Wire OS) using this online evaluator? To use this online evaluator for Length of Wire using Area of X-Section(3-Phase 4-Wire OS), enter Area of Overhead AC Wire (A), Maximum Voltage Overhead AC (V_m), Line Losses (P_loss), Phase Difference (Φ), Resistivity (ρ) & Power Transmitted (P) and hit the calculate button.

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

What is the formula to find Length of Wire using Area of X-Section(3-Phase 4-Wire OS)?

The formula of Length of Wire using Area of X-Section(3-Phase 4-Wire OS) is expressed as 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)). Here is an example- 2088.016 = 3*0.79*(62^2)*8.23*((cos(0.5235987755982))^2)/(2*1.7E-05*(890^2)).

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

With Area of Overhead AC Wire (A), Maximum Voltage Overhead AC (V_m), Line Losses (P_loss), Phase Difference (Φ), Resistivity (ρ) & Power Transmitted (P) we can find Length of Wire using Area of X-Section(3-Phase 4-Wire OS) using the formula - 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)). This formula also uses Cosine (cos) 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=3*Volume of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Overhead AC)^2/(7*Resistivity*(Power Transmitted^2))
Length of Overhead AC Wire=(Resistance Overhead AC*Area of Overhead AC Wire)/Resistivity

Can the Length of Wire using Area of X-Section(3-Phase 4-Wire OS) be negative?

No, the Length of Wire using Area of X-Section(3-Phase 4-Wire OS), measured in Length cannot be negative.

Which unit is used to measure Length of Wire using Area of X-Section(3-Phase 4-Wire OS)?

Length of Wire using Area of X-Section(3-Phase 4-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 Area of X-Section(3-Phase 4-Wire OS) can be measured.

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

​GoLength using Volume of Conductor Material (3-Phase 4-Wire OS) Formula

​GoLength of Wire using Resistance (3-Phase 4-Wire OS) Formula

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

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

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

Other Formulas to find Length of Overhead AC Wire

Other formulas in Wire Parameters category

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

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

Variable Name

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

GoLength of Wire using Resistance (3-Phase 4-Wire OS) Formula