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Power Factor using Line Losses (1-Phase 2-Wire US) Formula

GoPower Factor using Area of X-Section (1-Phase 2-Wire US) Formula

GoPower Factor using Volume of Conductor Material (1-Phase 2-Wire US) Formula

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The power factor of an AC electrical power system is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit. Check FAQs

PF = (2 \cdot \frac{P}{V m}) \cdot \sqrt{ρ \cdot \frac{L}{P loss} \cdot A}

PF - Power Factor?P - Power Transmitted?V_m - Maximum Voltage Underground AC?ρ - Resistivity?L - Length of Underground AC Wire?P_loss - Line Losses?A - Area of Underground AC Wire?

Power Factor using Line Losses (1-Phase 2-Wire US) Example

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Here is how the Power Factor using Line Losses (1-Phase 2-Wire US) equation looks like with Values.

Here is how the Power Factor using Line Losses (1-Phase 2-Wire US) equation looks like with Units.

Here is how the Power Factor using Line Losses (1-Phase 2-Wire US) equation looks like.

0.0365 = (2 \cdot \frac{300}{230}) \cdot \sqrt{1.7E-5 \cdot \frac{24}{2.67} \cdot 1.28}

0.0365 = (2 \cdot \frac{300W}{230V}) \cdot \sqrt{1.7E-5Ω*m \cdot \frac{24m}{2.67W} \cdot 1.28m²}

0.0365 = (2 \cdot \frac{300}{230}) \cdot \sqrt{1.7E-5 \cdot \frac{24}{2.67} \cdot 1.28}

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Power Factor using Line Losses (1-Phase 2-Wire US) Solution

Follow our step by step solution on how to calculate Power Factor using Line Losses (1-Phase 2-Wire US)?

FIRST Step Consider the formula

PF = (2 \cdot \frac{P}{V m}) \cdot \sqrt{ρ \cdot \frac{L}{P loss} \cdot A}

Next Step Substitute values of Variables

∴

PF = (2 \cdot \frac{300W}{230V}) \cdot \sqrt{1.7E-5Ω*m \cdot \frac{24m}{2.67W} \cdot 1.28m²}

Next Step Prepare to Evaluate

∴

PF = (2 \cdot \frac{300}{230}) \cdot \sqrt{1.7E-5 \cdot \frac{24}{2.67} \cdot 1.28}

Next Step Evaluate

∴

PF = 0.0364840338548621

LAST Step Rounding Answer

∴

PF = 0.0365

Power Factor using Line Losses (1-Phase 2-Wire US) Formula Elements

Variables

Functions

Power Factor

The power factor of an AC electrical power system is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit.

Symbol: PF

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Power Factor

Power Transmitted

Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.

Symbol: P

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Power Transmitted

Maximum Voltage Underground AC

Maximum Voltage Underground 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 Underground 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

Length of Underground AC Wire

Length of Underground 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 Underground AC Wire

Line Losses

Line Losses is defined as the total losses occurring in an Underground AC line when in use.

Symbol: P_loss

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Line Losses

Area of Underground AC Wire

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

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of Underground AC Wire

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Power Factor

Go Power Factor using Area of X-Section (1-Phase 2-Wire US)

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

Go Power Factor using Volume of Conductor Material (1-Phase 2-Wire US)

PF = \sqrt{(2) \cdot \frac{K}{V}}

Other formulas in Power and Power Factor category

Go Power Transmitted using Area of X-Section (1-Phase 2-Wire US)

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

Go Power Transmitted using Volume of Conductor Material (1-Phase 2-Wire US)

P = \sqrt{P loss \cdot V \cdot \frac{{(V m \cdot \cos (Φ))}^{2}}{8 \cdot ρ \cdot {(L)}^{2}}}

How to Evaluate Power Factor using Line Losses (1-Phase 2-Wire US)?

Power Factor using Line Losses (1-Phase 2-Wire US) evaluator uses Power Factor = (2*Power Transmitted/Maximum Voltage Underground AC)*sqrt(Resistivity*Length of Underground AC Wire/Line Losses*Area of Underground AC Wire) to evaluate the Power Factor, The Power Factor using Line Losses (1-Phase 2-Wire US) formula is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit. Power Factor is denoted by PF symbol.

How to evaluate Power Factor using Line Losses (1-Phase 2-Wire US) using this online evaluator? To use this online evaluator for Power Factor using Line Losses (1-Phase 2-Wire US), enter Power Transmitted (P), Maximum Voltage Underground AC (V_m), Resistivity (ρ), Length of Underground AC Wire (L), Line Losses (P_loss) & Area of Underground AC Wire (A) and hit the calculate button.

FAQs on Power Factor using Line Losses (1-Phase 2-Wire US)

What is the formula to find Power Factor using Line Losses (1-Phase 2-Wire US)?

The formula of Power Factor using Line Losses (1-Phase 2-Wire US) is expressed as Power Factor = (2*Power Transmitted/Maximum Voltage Underground AC)*sqrt(Resistivity*Length of Underground AC Wire/Line Losses*Area of Underground AC Wire). Here is an example- 0.036484 = (2*300/230)*sqrt(1.7E-05*24/2.67*1.28).

How to calculate Power Factor using Line Losses (1-Phase 2-Wire US)?

With Power Transmitted (P), Maximum Voltage Underground AC (V_m), Resistivity (ρ), Length of Underground AC Wire (L), Line Losses (P_loss) & Area of Underground AC Wire (A) we can find Power Factor using Line Losses (1-Phase 2-Wire US) using the formula - Power Factor = (2*Power Transmitted/Maximum Voltage Underground AC)*sqrt(Resistivity*Length of Underground AC Wire/Line Losses*Area of Underground AC Wire). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Power Factor?

Here are the different ways to Calculate Power Factor-

Power Factor=sqrt(((4)*(Power Transmitted^2)*Resistivity*Length of Underground AC Wire)/(Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)))
Power Factor=sqrt((2)*Constant Underground AC/Volume Of Conductor)
Power Factor=(sqrt(2)*Power Transmitted)/(Maximum Voltage Underground AC*Current Underground AC)

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Power Factor using Line Losses (1-Phase 2-Wire US) Formula

​GoPower Factor using Area of X-Section (1-Phase 2-Wire US) Formula

​GoPower Factor using Volume of Conductor Material (1-Phase 2-Wire US) Formula

Power Factor using Line Losses (1-Phase 2-Wire US) Example

Power Factor using Line Losses (1-Phase 2-Wire US) Solution

Power Factor using Line Losses (1-Phase 2-Wire US) Formula Elements

Other Formulas to find Power Factor

Other formulas in Power and Power Factor category

How to Evaluate Power Factor using Line Losses (1-Phase 2-Wire US)?

FAQs on Power Factor using Line Losses (1-Phase 2-Wire US)

Variable Name

GoPower Factor using Area of X-Section (1-Phase 2-Wire US) Formula

GoPower Factor using Volume of Conductor Material (1-Phase 2-Wire US) Formula