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Area of X-Section using Line Losses (Single-Phase Three-Wire OS) Formula

GoArea of X-Section(Single-Phase Three-Wire OS) Formula

GoArea of X-Section using Load Current (Single-Phase Three-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 = ρ \cdot L \cdot \frac{{(P)}^{2}}{P loss \cdot {(V m \cdot \cos (Φ))}^{2}}

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

Area of X-Section using Line Losses (Single-Phase Three-Wire OS) Example

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Here is how the Area of X-Section using Line Losses (Single-Phase Three-Wire OS) equation looks like with Values.

Here is how the Area of X-Section using Line Losses (Single-Phase Three-Wire OS) equation looks like with Units.

Here is how the Area of X-Section using Line Losses (Single-Phase Three-Wire OS) equation looks like.

0.006 = 1.7E-5 \cdot 10.63 \cdot \frac{{(890)}^{2}}{8.23 \cdot {(62 \cdot \cos (30))}^{2}}

0.006m² = 1.7E-5Ω*m \cdot 10.63m \cdot \frac{{(890W)}^{2}}{8.23W \cdot {(62V \cdot \cos (30°))}^{2}}

0.006 = 1.7E-5 \cdot 10.63 \cdot \frac{{(890)}^{2}}{8.23 \cdot {(62 \cdot \cos (30))}^{2}}

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Power System » fx Area of X-Section using Line Losses (Single-Phase Three-Wire OS)

Area of X-Section using Line Losses (Single-Phase Three-Wire OS) Solution

Follow our step by step solution on how to calculate Area of X-Section using Line Losses (Single-Phase Three-Wire OS)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

A = 0.00603278324480583m²

LAST Step Rounding Answer

∴

A = 0.006m²

Area of X-Section using Line Losses (Single-Phase Three-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

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

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

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

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 Overhead AC Wire

Go Area of X-Section(Single-Phase Three-Wire OS)

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

Go Area of X-Section using Load Current (Single-Phase Three-Wire OS)

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

Other formulas in Wire Parameters category

Go Constant(Single-Phase Three-Wire OS)

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

Go Line Losses(Single-Phase Three-Wire OS)

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

How to Evaluate Area of X-Section using Line Losses (Single-Phase Three-Wire OS)?

Area of X-Section using Line Losses (Single-Phase Three-Wire OS) evaluator uses Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire*(Power Transmitted)^2/(Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2) to evaluate the Area of Overhead AC Wire, The Area of X-Section using Line Losses (single-Phase three-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 using Line Losses (Single-Phase Three-Wire OS) using this online evaluator? To use this online evaluator for Area of X-Section using Line Losses (Single-Phase Three-Wire OS), enter Resistivity (ρ), Length of Overhead AC Wire (L), Power Transmitted (P), Line Losses (P_loss), Maximum Voltage Overhead AC (V_m) & Phase Difference (Φ) and hit the calculate button.

FAQs on Area of X-Section using Line Losses (Single-Phase Three-Wire OS)

What is the formula to find Area of X-Section using Line Losses (Single-Phase Three-Wire OS)?

The formula of Area of X-Section using Line Losses (Single-Phase Three-Wire OS) is expressed as Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire*(Power Transmitted)^2/(Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2). Here is an example- 0.006033 = 1.7E-05*10.63*(890)^2/(8.23*(62*cos(0.5235987755982))^2).

How to calculate Area of X-Section using Line Losses (Single-Phase Three-Wire OS)?

With Resistivity (ρ), Length of Overhead AC Wire (L), Power Transmitted (P), Line Losses (P_loss), Maximum Voltage Overhead AC (V_m) & Phase Difference (Φ) we can find Area of X-Section using Line Losses (Single-Phase Three-Wire OS) using the formula - Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire*(Power Transmitted)^2/(Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2). This formula also uses Cosine 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=(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*Line Losses*(Maximum Voltage Overhead AC^2))
Area of Overhead AC Wire=2*Resistivity*Length of Overhead AC Wire*(Current Overhead AC)^2/(Line Losses)
Area of Overhead AC Wire=Volume of Conductor/((2.5)*Length of Overhead AC Wire)

Can the Area of X-Section using Line Losses (Single-Phase Three-Wire OS) be negative?

No, the Area of X-Section using Line Losses (Single-Phase Three-Wire OS), measured in Area cannot be negative.

Which unit is used to measure Area of X-Section using Line Losses (Single-Phase Three-Wire OS)?

Area of X-Section using Line Losses (Single-Phase Three-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 using Line Losses (Single-Phase Three-Wire OS) can be measured.

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Area of X-Section using Line Losses (Single-Phase Three-Wire OS) Formula

​GoArea of X-Section(Single-Phase Three-Wire OS) Formula

​GoArea of X-Section using Load Current (Single-Phase Three-Wire OS) Formula

Area of X-Section using Line Losses (Single-Phase Three-Wire OS) Example

Area of X-Section using Line Losses (Single-Phase Three-Wire OS) Solution

Area of X-Section using Line Losses (Single-Phase Three-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 using Line Losses (Single-Phase Three-Wire OS)?

FAQs on Area of X-Section using Line Losses (Single-Phase Three-Wire OS)

Variable Name

GoArea of X-Section(Single-Phase Three-Wire OS) Formula

GoArea of X-Section using Load Current (Single-Phase Three-Wire OS) Formula