FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Power Factor using Area of X-Section(3-Phase 3-Wire OS) Formula

GoPower Factor using Load Current(3-Phase 3-Wire OS) Formula

Fx Copy

LaTeX Copy

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

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

Power Factor using Area of X-Section(3-Phase 3-Wire OS) Example

With values

With units

Only example

Here is how the Power Factor using Area of X-Section(3-Phase 3-Wire OS) equation looks like with Values.

Here is how the Power Factor using Area of X-Section(3-Phase 3-Wire OS) equation looks like with Units.

Here is how the Power Factor using Area of X-Section(3-Phase 3-Wire OS) equation looks like.

0.2015 = \sqrt{2 \cdot 1.7E-5 \cdot \frac{890^{2} \cdot {10.63}^{2}}{3 \cdot 0.79 \cdot 8.23 \cdot (62^{2})}}

0.2015 = \sqrt{2 \cdot 1.7E-5Ω*m \cdot \frac{{890W}^{2} \cdot {10.63m}^{2}}{3 \cdot 0.79m² \cdot 8.23W \cdot ({62V}^{2})}}

0.2015 = \sqrt{2 \cdot 1.7E-5 \cdot \frac{890^{2} \cdot {10.63}^{2}}{3 \cdot 0.79 \cdot 8.23 \cdot (62^{2})}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electrical » Category

Power System » fx Power Factor using Area of X-Section(3-Phase 3-Wire OS)

Power Factor using Area of X-Section(3-Phase 3-Wire OS) Solution

Follow our step by step solution on how to calculate Power Factor using Area of X-Section(3-Phase 3-Wire OS)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

PF = \sqrt{2 \cdot 1.7E-5Ω*m \cdot \frac{{890W}^{2} \cdot {10.63m}^{2}}{3 \cdot 0.79m² \cdot 8.23W \cdot ({62V}^{2})}}

Next Step Prepare to Evaluate

∴

PF = \sqrt{2 \cdot 1.7E-5 \cdot \frac{890^{2} \cdot {10.63}^{2}}{3 \cdot 0.79 \cdot 8.23 \cdot (62^{2})}}

Next Step Evaluate

∴

PF = 0.2014637667148

LAST Step Rounding Answer

∴

PF = 0.2015

Power Factor using Area of X-Section(3-Phase 3-Wire OS) 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

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

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

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

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 Load Current(3-Phase 3-Wire OS)

PF = \sqrt{2} \cdot \frac{P}{3 \cdot I \cdot V m}

Other formulas in Power and Power Factor category

Go Power Transmitted(3-Phase 3-Wire OS)

P = (\frac{1}{3}) \cdot P t

Go Power Transmitted using Area of X-Section(3-Phase 3-Wire OS)

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

How to Evaluate Power Factor using Area of X-Section(3-Phase 3-Wire OS)?

Power Factor using Area of X-Section(3-Phase 3-Wire OS) evaluator uses Power Factor = sqrt(2*Resistivity*(Power Transmitted^2*Length of Overhead AC Wire^2)/(3*Area of Overhead AC Wire*Line Losses*(Maximum Voltage Overhead AC^2))) to evaluate the Power Factor, The Power Factor using Area of X-section(3-phase 3-wire OS) 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 Area of X-Section(3-Phase 3-Wire OS) using this online evaluator? To use this online evaluator for Power Factor using Area of X-Section(3-Phase 3-Wire OS), enter Resistivity (ρ), Power Transmitted (P), Length of Overhead AC Wire (L), Area of Overhead AC Wire (A), Line Losses (P_loss) & Maximum Voltage Overhead AC (V_m) and hit the calculate button.

FAQs on Power Factor using Area of X-Section(3-Phase 3-Wire OS)

What is the formula to find Power Factor using Area of X-Section(3-Phase 3-Wire OS)?

The formula of Power Factor using Area of X-Section(3-Phase 3-Wire OS) is expressed as Power Factor = sqrt(2*Resistivity*(Power Transmitted^2*Length of Overhead AC Wire^2)/(3*Area of Overhead AC Wire*Line Losses*(Maximum Voltage Overhead AC^2))). Here is an example- 0.201464 = sqrt(2*1.7E-05*(890^2*10.63^2)/(3*0.79*8.23*(62^2))).

How to calculate Power Factor using Area of X-Section(3-Phase 3-Wire OS)?

With Resistivity (ρ), Power Transmitted (P), Length of Overhead AC Wire (L), Area of Overhead AC Wire (A), Line Losses (P_loss) & Maximum Voltage Overhead AC (V_m) we can find Power Factor using Area of X-Section(3-Phase 3-Wire OS) using the formula - Power Factor = sqrt(2*Resistivity*(Power Transmitted^2*Length of Overhead AC Wire^2)/(3*Area of Overhead AC Wire*Line Losses*(Maximum Voltage Overhead AC^2))). 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(2)*Power Transmitted/(3*Current Overhead AC*Maximum Voltage Overhead AC)

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Power Factor using Area of X-Section(3-Phase 3-Wire OS) Formula

​GoPower Factor using Load Current(3-Phase 3-Wire OS) Formula

Power Factor using Area of X-Section(3-Phase 3-Wire OS) Example

Power Factor using Area of X-Section(3-Phase 3-Wire OS) Solution

Power Factor using Area of X-Section(3-Phase 3-Wire OS) Formula Elements

Other Formulas to find Power Factor

Other formulas in Power and Power Factor category

How to Evaluate Power Factor using Area of X-Section(3-Phase 3-Wire OS)?

FAQs on Power Factor using Area of X-Section(3-Phase 3-Wire OS)

Variable Name

GoPower Factor using Load Current(3-Phase 3-Wire OS) Formula