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

GoArea of X-Section using Volume of Conductor Material (3 Phase 4 Wire US) Formula

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

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

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

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

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

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

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

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

0.0007 = (300^{2}) \cdot 2 \cdot 1.7E-5 \cdot \frac{24}{2.67 \cdot (230^{2}) \cdot ({\cos (30)}^{2})}

0.0007m² = ({300W}^{2}) \cdot 2 \cdot 1.7E-5Ω*m \cdot \frac{24m}{2.67W \cdot ({230V}^{2}) \cdot ({\cos (30°)}^{2})}

0.0007 = (300^{2}) \cdot 2 \cdot 1.7E-5 \cdot \frac{24}{2.67 \cdot (230^{2}) \cdot ({\cos (30)}^{2})}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = ({300W}^{2}) \cdot 2 \cdot 1.7E-5Ω*m \cdot \frac{24m}{2.67W \cdot ({230V}^{2}) \cdot ({\cos (30°)}^{2})}

Next Step Convert Units

∴

A = ({300W}^{2}) \cdot 2 \cdot 1.7E-5Ω*m \cdot \frac{24m}{2.67W \cdot ({230V}^{2}) \cdot ({\cos (0.5236rad)}^{2})}

Next Step Prepare to Evaluate

∴

A = (300^{2}) \cdot 2 \cdot 1.7E-5 \cdot \frac{24}{2.67 \cdot (230^{2}) \cdot ({\cos (0.5236)}^{2})}

Next Step Evaluate

∴

A = 0.00069327329495975m²

LAST Step Rounding Answer

∴

A = 0.0007m²

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

Variables

Functions

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

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

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

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

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

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 Area of Underground AC Wire

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

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

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

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

Other formulas in Wire Parameters category

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}

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

K = V \cdot \frac{{(\cos (Φ))}^{2}}{1.75}

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

Area of X-Section (3 Phase 4 Wire US) evaluator uses Area of Underground AC Wire = (Power Transmitted^2)*2*Resistivity*Length of Underground AC Wire/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)) to evaluate the Area of Underground AC Wire, The Area of X-Section (3 phase 4 wire US) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier. Area of Underground AC Wire is denoted by A symbol.

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

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

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

The formula of Area of X-Section (3 Phase 4 Wire US) is expressed as Area of Underground AC Wire = (Power Transmitted^2)*2*Resistivity*Length of Underground AC Wire/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)). Here is an example- 0.000693 = (300^2)*2*1.7E-05*24/(2.67*(230^2)*(cos(0.5235987755982)^2)).

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

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

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

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

Area of Underground AC Wire=Volume Of Conductor/((3.5)*Length of Underground AC Wire)
Area of Underground AC Wire=(Current Underground AC^2)*2*Resistivity*Length of Underground AC Wire/Line Losses

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

Yes, the Area of X-Section (3 Phase 4 Wire US), measured in Area can be negative.

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

Area of X-Section (3 Phase 4 Wire US) is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of X-Section (3 Phase 4 Wire US) can be measured.

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

​GoArea of X-Section using Volume of Conductor Material (3 Phase 4 Wire US) Formula

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

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

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

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

Other Formulas to find Area of Underground AC Wire

Other formulas in Wire Parameters category

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

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

Variable Name

GoArea of X-Section using Volume of Conductor Material (3 Phase 4 Wire US) Formula

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