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Constant(3-Phase 4-Wire OS) Formula

GoConstant using Volume of Conductor Material (3-Phase 4-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 (P^{2}) \cdot ρ \cdot (L^{2})}{P loss \cdot ({V m}^{2})}

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

Constant(3-Phase 4-Wire OS) Example

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Here is how the Constant(3-Phase 4-Wire OS) equation looks like with Values.

Here is how the Constant(3-Phase 4-Wire OS) equation looks like with Units.

Here is how the Constant(3-Phase 4-Wire OS) equation looks like.

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

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

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

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Constant(3-Phase 4-Wire OS) Solution

Follow our step by step solution on how to calculate Constant(3-Phase 4-Wire OS)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

K = 0.192385457676858

LAST Step Rounding Answer

∴

K = 0.1924

Constant(3-Phase 4-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

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

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 using Volume of Conductor Material (3-Phase 4-Wire OS)

K = V \cdot \frac{{(\cos (Φ))}^{2}}{0.583}

Other formulas in Wire Parameters category

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

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

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

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

Go Volume of Conductor Material(3-Phase 4-Wire OS)

V = (3.5) \cdot A \cdot L

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

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

How to Evaluate Constant(3-Phase 4-Wire OS)?

Constant(3-Phase 4-Wire OS) evaluator uses Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*(Length of Overhead AC Wire^2))/(Line Losses*(Maximum Voltage Overhead AC^2)) to evaluate the Constant Overhead AC, The Constant(3-Phase 4-Wire OS) formula is 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(3-Phase 4-Wire OS) using this online evaluator? To use this online evaluator for Constant(3-Phase 4-Wire OS), enter Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Line Losses (P_loss) & Maximum Voltage Overhead AC (V_m) and hit the calculate button.

FAQs on Constant(3-Phase 4-Wire OS)

What is the formula to find Constant(3-Phase 4-Wire OS)?

The formula of Constant(3-Phase 4-Wire OS) is expressed as Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*(Length of Overhead AC Wire^2))/(Line Losses*(Maximum Voltage Overhead AC^2)). Here is an example- 0.192385 = (4*(890^2)*1.7E-05*(10.63^2))/(8.23*(62^2)).

How to calculate Constant(3-Phase 4-Wire OS)?

With Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Line Losses (P_loss) & Maximum Voltage Overhead AC (V_m) we can find Constant(3-Phase 4-Wire OS) using the formula - Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*(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=Volume of Conductor*(cos(Phase Difference))^2/(0.583)

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Constant(3-Phase 4-Wire OS) Formula

​GoConstant using Volume of Conductor Material (3-Phase 4-Wire OS) Formula

Constant(3-Phase 4-Wire OS) Example

Constant(3-Phase 4-Wire OS) Solution

Constant(3-Phase 4-Wire OS) Formula Elements

Other Formulas to find Constant Overhead AC

Other formulas in Wire Parameters category

How to Evaluate Constant(3-Phase 4-Wire OS)?

FAQs on Constant(3-Phase 4-Wire OS)

Variable Name

GoConstant using Volume of Conductor Material (3-Phase 4-Wire OS) Formula