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

GoLength using Line Losses (3 Phase 4 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 = \frac{A \cdot P loss \cdot ({V m}^{2}) \cdot {(\cos (Φ))}^{2}}{4 \cdot ρ \cdot (P^{2})}

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

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

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

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

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

22155.7647 = \frac{1.28 \cdot 2.67 \cdot (230^{2}) \cdot {(\cos (30))}^{2}}{4 \cdot 1.7E-5 \cdot (300^{2})}

22155.7647m = \frac{1.28m² \cdot 2.67W \cdot ({230V}^{2}) \cdot {(\cos (30°))}^{2}}{4 \cdot 1.7E-5Ω*m \cdot ({300W}^{2})}

22155.7647 = \frac{1.28 \cdot 2.67 \cdot (230^{2}) \cdot {(\cos (30))}^{2}}{4 \cdot 1.7E-5 \cdot (300^{2})}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = \frac{1.28m² \cdot 2.67W \cdot ({230V}^{2}) \cdot {(\cos (30°))}^{2}}{4 \cdot 1.7E-5Ω*m \cdot ({300W}^{2})}

Next Step Convert Units

∴

L = \frac{1.28m² \cdot 2.67W \cdot ({230V}^{2}) \cdot {(\cos (0.5236rad))}^{2}}{4 \cdot 1.7E-5Ω*m \cdot ({300W}^{2})}

Next Step Prepare to Evaluate

∴

L = \frac{1.28 \cdot 2.67 \cdot (230^{2}) \cdot {(\cos (0.5236))}^{2}}{4 \cdot 1.7E-5 \cdot (300^{2})}

Next Step Evaluate

∴

L = 22155.7647058824m

LAST Step Rounding Answer

∴

L = 22155.7647m

Length using Area of X-Section (3 Phase 4 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

Area of Underground AC Wire

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

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of Underground AC Wire

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

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

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 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

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 Underground AC Wire

Go Length using Line Losses (3 Phase 4 Wire US)

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

Other formulas in Wire Parameters category

Go Area of X-Section using Volume of Conductor Material (3 Phase 4 Wire US)

A = \frac{V}{(3.5) \cdot L}

Go Line Losses using Volume of Conductor Material (3 Phase 4 Wire US)

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

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

Length using Area of X-Section (3 Phase 4 Wire US) evaluator uses Length of Underground AC Wire = (Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference))^2)/(4*Resistivity*(Power Transmitted^2)) to evaluate the Length of Underground AC Wire, The Length using Area of X-Section (3 phase 4 wire US) formula is defined as the total length of the wire that used in the three-phase four-wire system. Length of Underground AC Wire is denoted by L symbol.

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

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

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

The formula of Length using Area of X-Section (3 Phase 4 Wire US) is expressed as Length of Underground AC Wire = (Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference))^2)/(4*Resistivity*(Power Transmitted^2)). Here is an example- 22155.76 = (1.28*2.67*(230^2)*(cos(0.5235987755982))^2)/(4*1.7E-05*(300^2)).

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

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

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

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

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

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

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

​GoLength using Line Losses (3 Phase 4 Wire US) Formula

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

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

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

Other Formulas to find Length of Underground AC Wire

Other formulas in Wire Parameters category

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

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

Variable Name

GoLength using Line Losses (3 Phase 4 Wire US) Formula