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Length of Wire using Constant (1-Phase 2-Wire US) Formula

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GoLength using Area of X-Section (1-Phase 2-Wire US) Formula

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GoLength using Volume of Conductor Material (1-Phase 2-Wire US) Formula

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

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

L - Length of Underground AC Wire?K - Constant Underground AC?P_loss - Line Losses?V_m - Maximum Voltage Underground AC?ρ - Resistivity?P - Power Transmitted?

Length of Wire using Constant (1-Phase 2-Wire US) Example

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Here is how the Length of Wire using Constant (1-Phase 2-Wire US) equation looks like with Values.

Here is how the Length of Wire using Constant (1-Phase 2-Wire US) equation looks like with Units.

Here is how the Length of Wire using Constant (1-Phase 2-Wire US) equation looks like.

141.6992 = \sqrt{0.87 \cdot 2.67 \cdot \frac{230^{2}}{4 \cdot 1.7E-5 \cdot {(300)}^{2}}}

141.6992m = \sqrt{0.87 \cdot 2.67W \cdot \frac{{230V}^{2}}{4 \cdot 1.7E-5Ω*m \cdot {(300W)}^{2}}}

141.6992 = \sqrt{0.87 \cdot 2.67 \cdot \frac{230^{2}}{4 \cdot 1.7E-5 \cdot {(300)}^{2}}}

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Length of Wire using Constant (1-Phase 2-Wire US) Solution

Follow our step by step solution on how to calculate Length of Wire using Constant (1-Phase 2-Wire US)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = \sqrt{0.87 \cdot 2.67W \cdot \frac{{230V}^{2}}{4 \cdot 1.7E-5Ω*m \cdot {(300W)}^{2}}}

Next Step Prepare to Evaluate

∴

L = \sqrt{0.87 \cdot 2.67 \cdot \frac{230^{2}}{4 \cdot 1.7E-5 \cdot {(300)}^{2}}}

Next Step Evaluate

∴

L = 141.699194650873m

LAST Step Rounding Answer

∴

L = 141.6992m

Length of Wire using Constant (1-Phase 2-Wire US) Formula Elements

Variables

Functions

Length of Underground AC Wire

Length of Underground 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 Underground AC Wire

Open Variable

Constant Underground AC

Constant Underground AC is defined as the constant of line of a Overhead supply system.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant Underground AC

Open Variable

Line Losses

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

Symbol: P_loss

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Line Losses

Open Variable

Maximum Voltage Underground AC

Maximum Voltage Underground 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 Underground AC

Open Variable

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

Open Variable

Power Transmitted

Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.

Symbol: P

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Power Transmitted

Open Variable

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 Underground AC Wire

Go Length using Area of X-Section (1-Phase 2-Wire US)

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

Go Length using Volume of Conductor Material (1-Phase 2-Wire US)

L = \frac{V}{2 \cdot A}

Go Length using Load Current (1-Phase 2-Wire US)

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

Go Length using Line Losses (1-Phase 2-Wire US)

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

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Other formulas in Wire Parameters category

Go Area of X-Section (1-Phase 2-Wire US)

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

Go Voltage of Conductor Material (1-Phase 2-Wire US)

V = 2 \cdot \frac{K}{{(\cos (Φ))}^{2}}

Go Constant (1-Phase 2-Wire US)

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

Go Area of X-Section using Volume of Conductor Material (1-Phase 2-Wire US)

A = \frac{V}{2 \cdot L}

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How to Evaluate Length of Wire using Constant (1-Phase 2-Wire US)?

Length of Wire using Constant (1-Phase 2-Wire US) evaluator uses Length of Underground AC Wire = sqrt(Constant Underground AC*Line Losses*(Maximum Voltage Underground AC^2)/(4*Resistivity*(Power Transmitted)^2)) to evaluate the Length of Underground AC Wire, The Length of Wire using Constant (1-Phase 2-Wire US) formula is defined as the total length of the wire that used in the single-phase two-wire system. Length of Underground AC Wire is denoted by L symbol.

How to evaluate Length of Wire using Constant (1-Phase 2-Wire US) using this online evaluator? To use this online evaluator for Length of Wire using Constant (1-Phase 2-Wire US), enter Constant Underground AC (K), Line Losses (P_loss), Maximum Voltage Underground AC (V_m), Resistivity (ρ) & Power Transmitted (P) and hit the calculate button.

FAQs on Length of Wire using Constant (1-Phase 2-Wire US)

What is the formula to find Length of Wire using Constant (1-Phase 2-Wire US)?

The formula of Length of Wire using Constant (1-Phase 2-Wire US) is expressed as Length of Underground AC Wire = sqrt(Constant Underground AC*Line Losses*(Maximum Voltage Underground AC^2)/(4*Resistivity*(Power Transmitted)^2)). Here is an example- 141.6992 = sqrt(0.87*2.67*(230^2)/(4*1.7E-05*(300)^2)).

How to calculate Length of Wire using Constant (1-Phase 2-Wire US)?

With Constant Underground AC (K), Line Losses (P_loss), Maximum Voltage Underground AC (V_m), Resistivity (ρ) & Power Transmitted (P) we can find Length of Wire using Constant (1-Phase 2-Wire US) using the formula - Length of Underground AC Wire = sqrt(Constant Underground AC*Line Losses*(Maximum Voltage Underground AC^2)/(4*Resistivity*(Power Transmitted)^2)). This formula also uses Square Root (sqrt) function(s).

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

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

Length of Underground AC Wire=Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC*cos(Phase Difference))^2/(4*(Power Transmitted^2)*Resistivity)
Length of Underground AC Wire=Volume Of Conductor/(2*Area of Underground AC Wire)
Length of Underground AC Wire=(Line Losses*Area of Underground AC Wire)/(2*(Current Underground AC)^2*Resistivity)

Can the Length of Wire using Constant (1-Phase 2-Wire US) be negative?

No, the Length of Wire using Constant (1-Phase 2-Wire US), measured in Length cannot be negative.

Which unit is used to measure Length of Wire using Constant (1-Phase 2-Wire US)?

Length of Wire using Constant (1-Phase 2-Wire US) 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 Constant (1-Phase 2-Wire US) can be measured.

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