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

GoArea of X-section using Volume of Conductor Material (3-Phase 4-Wire OS) Formula

GoArea of X-Section using Resistance (3-Phase 4-Wire OS) Formula

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

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

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

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

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

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

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

0.004 = 2 \cdot (890^{2}) \cdot 1.7E-5 \cdot \frac{10.63}{({(\cos (30))}^{2}) \cdot 8.23 \cdot 3 \cdot (62^{2})}

0.004m² = 2 \cdot ({890W}^{2}) \cdot 1.7E-5Ω*m \cdot \frac{10.63m}{({(\cos (30°))}^{2}) \cdot 8.23W \cdot 3 \cdot ({62V}^{2})}

0.004 = 2 \cdot (890^{2}) \cdot 1.7E-5 \cdot \frac{10.63}{({(\cos (30))}^{2}) \cdot 8.23 \cdot 3 \cdot (62^{2})}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = 2 \cdot ({890W}^{2}) \cdot 1.7E-5Ω*m \cdot \frac{10.63m}{({(\cos (30°))}^{2}) \cdot 8.23W \cdot 3 \cdot ({62V}^{2})}

Next Step Convert Units

∴

A = 2 \cdot ({890W}^{2}) \cdot 1.7E-5Ω*m \cdot \frac{10.63m}{({(\cos (0.5236rad))}^{2}) \cdot 8.23W \cdot 3 \cdot ({62V}^{2})}

Next Step Prepare to Evaluate

∴

A = 2 \cdot (890^{2}) \cdot 1.7E-5 \cdot \frac{10.63}{({(\cos (0.5236))}^{2}) \cdot 8.23 \cdot 3 \cdot (62^{2})}

Next Step Evaluate

∴

A = 0.00402185549653722m²

LAST Step Rounding Answer

∴

A = 0.004m²

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

Variables

Functions

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

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

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 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

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

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

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

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 Overhead AC Wire

Go Area of X-section using Volume of Conductor Material (3-Phase 4-Wire OS)

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

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

A = ρ \cdot \frac{L}{R}

Other formulas in Wire Parameters category

Go Constant(3-Phase 4-Wire OS)

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

Go Line Losses(3-Phase 4-Wire OS)

P loss = (3) \cdot ({(I)}^{2}) \cdot R

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

Area of X-Section(3-Phase 4-Wire OS) evaluator uses Area of Overhead AC Wire = 2*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*Line Losses*3*(Maximum Voltage Overhead AC^2)) to evaluate the Area of Overhead AC Wire, The Area of X-Section(3-Phase 4-Wire OS) 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 Overhead AC Wire is denoted by A symbol.

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

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

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

The formula of Area of X-Section(3-Phase 4-Wire OS) is expressed as Area of Overhead AC Wire = 2*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*Line Losses*3*(Maximum Voltage Overhead AC^2)). Here is an example- 0.004022 = 2*(890^2)*1.7E-05*10.63/(((cos(0.5235987755982))^2)*8.23*3*(62^2)).

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

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

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

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

Area of Overhead AC Wire=Volume of Conductor/((3.5)*Length of Overhead AC Wire)
Area of Overhead AC Wire=Resistivity*Length of Overhead AC Wire/Resistance Overhead AC

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

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

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

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

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

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

​GoArea of X-Section using Resistance (3-Phase 4-Wire OS) Formula

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

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

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

Other Formulas to find Area of Overhead AC Wire

Other formulas in Wire Parameters category

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

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

Variable Name

GoArea of X-section using Volume of Conductor Material (3-Phase 4-Wire OS) Formula

GoArea of X-Section using Resistance (3-Phase 4-Wire OS) Formula