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Constant using Line Losses (Single-Phase Two-Wire OS) Formula

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Constant Overhead AC is defined as the constant of line of a Overhead supply system. Check FAQs

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

K - Constant Overhead AC?ρ - Resistivity?P - Power Transmitted?L - Length of Overhead AC Wire?P_loss - Line Losses?V_m - Maximum Voltage Overhead AC?

Constant using Line Losses (Single-Phase Two-Wire OS) Example

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Here is how the Constant using Line Losses (Single-Phase Two-Wire OS) equation looks like with Values.

Here is how the Constant using Line Losses (Single-Phase Two-Wire OS) equation looks like with Units.

Here is how the Constant using Line Losses (Single-Phase Two-Wire OS) equation looks like.

0.1924 = \frac{4 \cdot 1.7E-5 \cdot {(890 \cdot 10.63)}^{2}}{8.23 \cdot {(62)}^{2}}

0.1924 = \frac{4 \cdot 1.7E-5Ω*m \cdot {(890W \cdot 10.63m)}^{2}}{8.23W \cdot {(62V)}^{2}}

0.1924 = \frac{4 \cdot 1.7E-5 \cdot {(890 \cdot 10.63)}^{2}}{8.23 \cdot {(62)}^{2}}

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Constant using Line Losses (Single-Phase Two-Wire OS) Solution

Follow our step by step solution on how to calculate Constant using Line Losses (Single-Phase Two-Wire OS)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K = \frac{4 \cdot 1.7E-5Ω*m \cdot {(890W \cdot 10.63m)}^{2}}{8.23W \cdot {(62V)}^{2}}

Next Step Prepare to Evaluate

∴

K = \frac{4 \cdot 1.7E-5 \cdot {(890 \cdot 10.63)}^{2}}{8.23 \cdot {(62)}^{2}}

Next Step Evaluate

∴

K = 0.192385457676858

LAST Step Rounding Answer

∴

K = 0.1924

Constant using Line Losses (Single-Phase Two-Wire OS) Formula Elements

Variables

Constant Overhead AC

Constant Overhead AC is defined as the constant of line of a Overhead supply system.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant Overhead AC

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 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

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

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

Other Formulas to find Constant Overhead AC

Go Constant(Single-Phase Two-Wire OS)

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

Go Constant using Load Current (Single-Phase Two-Wire OS)

K = \frac{2 \cdot I^{2} \cdot {\cos (Φ)}^{2} \cdot ρ \cdot L^{2}}{P loss}

Other formulas in Wire Parameters category

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

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

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

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

Go Volume of Conductor Material(Single-Phase Two-Wire OS)

V = 2 \cdot A \cdot L

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

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

How to Evaluate Constant using Line Losses (Single-Phase Two-Wire OS)?

Constant using Line Losses (Single-Phase Two-Wire OS) evaluator uses Constant Overhead AC = (4*Resistivity*(Power Transmitted*Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC)^2) to evaluate the Constant Overhead AC, Constant using Line Losses (single-Phase two-Wire OS) formula is defined as the total constant of a single-phase two-wire overhead system. it is represented by K. Constant Overhead AC is denoted by K symbol.

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

FAQs on Constant using Line Losses (Single-Phase Two-Wire OS)

What is the formula to find Constant using Line Losses (Single-Phase Two-Wire OS)?

The formula of Constant using Line Losses (Single-Phase Two-Wire OS) is expressed as Constant Overhead AC = (4*Resistivity*(Power Transmitted*Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC)^2). Here is an example- 0.192385 = (4*1.7E-05*(890*10.63)^2)/(8.23*(62)^2).

How to calculate Constant using Line Losses (Single-Phase Two-Wire OS)?

With Resistivity (ρ), Power Transmitted (P), Length of Overhead AC Wire (L), Line Losses (P_loss) & Maximum Voltage Overhead AC (V_m) we can find Constant using Line Losses (Single-Phase Two-Wire OS) using the formula - Constant Overhead AC = (4*Resistivity*(Power Transmitted*Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC)^2).

What are the other ways to Calculate Constant Overhead AC?

Here are the different ways to Calculate Constant Overhead AC-

Constant Overhead AC=(4*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire)/(Line Losses*(Voltage Overhead AC^2))
Constant Overhead AC=(2*Current Overhead AC^2*cos(Phase Difference)^2*Resistivity*Length of Overhead AC Wire^2)/Line Losses

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Constant using Line Losses (Single-Phase Two-Wire OS) Formula

​GoConstant(Single-Phase Two-Wire OS) Formula

​GoConstant using Load Current (Single-Phase Two-Wire OS) Formula

Constant using Line Losses (Single-Phase Two-Wire OS) Example

Constant using Line Losses (Single-Phase Two-Wire OS) Solution

Constant using Line Losses (Single-Phase Two-Wire OS) Formula Elements

Other Formulas to find Constant Overhead AC

Other formulas in Wire Parameters category

How to Evaluate Constant using Line Losses (Single-Phase Two-Wire OS)?

FAQs on Constant using Line Losses (Single-Phase Two-Wire OS)

Variable Name

GoConstant(Single-Phase Two-Wire OS) Formula

GoConstant using Load Current (Single-Phase Two-Wire OS) Formula