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Area of X-Section(Single Phase Two Wire Mid-Point Earthed) Formula

GoArea of X-Section using Load Current (Single Phase Two Wire Mid-Point OS) Formula

GoArea of X-Section using Line Losses (Single Phase Two Wire Mid-Point 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 = \frac{P^{2} \cdot ρ \cdot L}{({(\cos (Φ))}^{2}) \cdot P loss \cdot {V ac}^{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_ac - Voltage Overhead AC?

Area of X-Section(Single Phase Two Wire Mid-Point Earthed) Example

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Here is how the Area of X-Section(Single Phase Two Wire Mid-Point Earthed) equation looks like with Values.

Here is how the Area of X-Section(Single Phase Two Wire Mid-Point Earthed) equation looks like with Units.

Here is how the Area of X-Section(Single Phase Two Wire Mid-Point Earthed) equation looks like.

0.0007 = \frac{890^{2} \cdot 1.7E-5 \cdot 10.63}{({(\cos (30))}^{2}) \cdot 8.23 \cdot 180^{2}}

0.0007m² = \frac{{890W}^{2} \cdot 1.7E-5Ω*m \cdot 10.63m}{({(\cos (30°))}^{2}) \cdot 8.23W \cdot {180V}^{2}}

0.0007 = \frac{890^{2} \cdot 1.7E-5 \cdot 10.63}{({(\cos (30))}^{2}) \cdot 8.23 \cdot 180^{2}}

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Area of X-Section(Single Phase Two Wire Mid-Point Earthed) Solution

Follow our step by step solution on how to calculate Area of X-Section(Single Phase Two Wire Mid-Point Earthed)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{{890W}^{2} \cdot 1.7E-5Ω*m \cdot 10.63m}{({(\cos (30°))}^{2}) \cdot 8.23W \cdot {180V}^{2}}

Next Step Convert Units

∴

A = \frac{{890W}^{2} \cdot 1.7E-5Ω*m \cdot 10.63m}{({(\cos (0.5236rad))}^{2}) \cdot 8.23W \cdot {180V}^{2}}

Next Step Prepare to Evaluate

∴

A = \frac{890^{2} \cdot 1.7E-5 \cdot 10.63}{({(\cos (0.5236))}^{2}) \cdot 8.23 \cdot 180^{2}}

Next Step Evaluate

∴

A = 0.000715741320772643m²

LAST Step Rounding Answer

∴

A = 0.0007m²

Area of X-Section(Single Phase Two Wire Mid-Point Earthed) 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

Voltage Overhead AC

Voltage Overhead AC is defined as the amount of work or force required to start the conduction of current within a line.

Symbol: V_ac

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find 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 Load Current (Single Phase Two Wire Mid-Point OS)

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

Go Area of X-Section using Line Losses (Single Phase Two Wire Mid-Point OS)

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

Other formulas in Wire Parameters category

Go Constant (Single Phase Two Wire Mid-Point Earthed)

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

Go Length of Wire using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)

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

How to Evaluate Area of X-Section(Single Phase Two Wire Mid-Point Earthed)?

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

FAQs on Area of X-Section(Single Phase Two Wire Mid-Point Earthed)

What is the formula to find Area of X-Section(Single Phase Two Wire Mid-Point Earthed)?

The formula of Area of X-Section(Single Phase Two Wire Mid-Point Earthed) is expressed as Area of Overhead AC Wire = (Power Transmitted^2*Resistivity*Length of Overhead AC Wire)/(((cos(Phase Difference))^2)*Line Losses*Voltage Overhead AC^2). Here is an example- 0.000716 = (890^2*1.7E-05*10.63)/(((cos(0.5235987755982))^2)*8.23*180^2).

How to calculate Area of X-Section(Single Phase Two Wire Mid-Point Earthed)?

With Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Phase Difference (Φ), Line Losses (P_loss) & Voltage Overhead AC (V_ac) we can find Area of X-Section(Single Phase Two Wire Mid-Point Earthed) using the formula - Area of Overhead AC Wire = (Power Transmitted^2*Resistivity*Length of Overhead AC Wire)/(((cos(Phase Difference))^2)*Line Losses*Voltage Overhead AC^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=(2*Current Overhead AC^2*Resistivity*Length of Overhead AC Wire)/(Line Losses)
Area of Overhead AC Wire=(Resistivity*Length of Overhead AC Wire*Power Transmitted^2)/(Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2)

Can the Area of X-Section(Single Phase Two Wire Mid-Point Earthed) be negative?

No, the Area of X-Section(Single Phase Two Wire Mid-Point Earthed), measured in Area cannot be negative.

Which unit is used to measure Area of X-Section(Single Phase Two Wire Mid-Point Earthed)?

Area of X-Section(Single Phase Two Wire Mid-Point Earthed) 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(Single Phase Two Wire Mid-Point Earthed) can be measured.

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Area of X-Section(Single Phase Two Wire Mid-Point Earthed) Formula

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

​GoArea of X-Section using Line Losses (Single Phase Two Wire Mid-Point OS) Formula

Area of X-Section(Single Phase Two Wire Mid-Point Earthed) Example

Area of X-Section(Single Phase Two Wire Mid-Point Earthed) Solution

Area of X-Section(Single Phase Two Wire Mid-Point Earthed) Formula Elements

Other Formulas to find Area of Overhead AC Wire

Other formulas in Wire Parameters category

How to Evaluate Area of X-Section(Single Phase Two Wire Mid-Point Earthed)?

FAQs on Area of X-Section(Single Phase Two Wire Mid-Point Earthed)

Variable Name

GoArea of X-Section using Load Current (Single Phase Two Wire Mid-Point OS) Formula

GoArea of X-Section using Line Losses (Single Phase Two Wire Mid-Point OS) Formula