FormulaDen.com

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

Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) Formula

GoPower Factor using Load Current (1 Phase 3 Wire US) Formula

GoPower Factor using Area of X Section (1 Phase 3 Wire US) 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{10 \cdot ρ \cdot \frac{{(P \cdot L)}^{2}}{P loss \cdot V \cdot ({(V m)}^{2})}}

PF - Power Factor?ρ - Resistivity?P - Power Transmitted?L - Length of Underground AC Wire?P_loss - Line Losses?V - Volume Of Conductor?V_m - Maximum Voltage Underground AC?

Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) Example

With values

With units

Only example

Here is how the Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) equation looks like with Values.

Here is how the Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) equation looks like with Units.

Here is how the Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) equation looks like.

0.0322 = \sqrt{10 \cdot 1.7E-5 \cdot \frac{{(300 \cdot 24)}^{2}}{2.67 \cdot 60 \cdot ({(230)}^{2})}}

0.0322 = \sqrt{10 \cdot 1.7E-5Ω*m \cdot \frac{{(300W \cdot 24m)}^{2}}{2.67W \cdot 60m³ \cdot ({(230V)}^{2})}}

0.0322 = \sqrt{10 \cdot 1.7E-5 \cdot \frac{{(300 \cdot 24)}^{2}}{2.67 \cdot 60 \cdot ({(230)}^{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 Volume of Conductor Material(1 Phase 3 Wire US)

Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) Solution

Follow our step by step solution on how to calculate Power Factor using Volume of Conductor Material(1 Phase 3 Wire US)?

FIRST Step Consider the formula

PF = \sqrt{10 \cdot ρ \cdot \frac{{(P \cdot L)}^{2}}{P loss \cdot V \cdot ({(V m)}^{2})}}

Next Step Substitute values of Variables

∴

PF = \sqrt{10 \cdot 1.7E-5Ω*m \cdot \frac{{(300W \cdot 24m)}^{2}}{2.67W \cdot 60m³ \cdot ({(230V)}^{2})}}

Next Step Prepare to Evaluate

∴

PF = \sqrt{10 \cdot 1.7E-5 \cdot \frac{{(300 \cdot 24)}^{2}}{2.67 \cdot 60 \cdot ({(230)}^{2})}}

Next Step Evaluate

∴

PF = 0.0322476346797657

LAST Step Rounding Answer

∴

PF = 0.0322

Power Factor using Volume of Conductor Material(1 Phase 3 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

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 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

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

Volume Of Conductor

Volume Of Conductor the 3-dimensional space enclosed by a conductor material.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume Of Conductor

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

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 (1 Phase 3 Wire US)

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

Go Power Factor using Area of X Section (1 Phase 3 Wire US)

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

Other formulas in Power and Power Factor category

Go Transmitted Power using Volume of Conductor Material(1 Phase 3 Wire US)

P = \sqrt{P loss \cdot V \cdot \frac{{(V m \cdot \cos (Φ))}^{2}}{10 \cdot ρ \cdot {(L)}^{2}}}

Go Power Factor Angle for Single Phase 3 Wire System

Φ = a \cos (\frac{P}{2 \cdot V ac \cdot I})

How to Evaluate Power Factor using Volume of Conductor Material(1 Phase 3 Wire US)?

Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) evaluator uses Power Factor = sqrt(10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((Maximum Voltage Underground AC)^2))) to evaluate the Power Factor, The Power Factor using Volume of Conductor Material(1 phase 3 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 Volume of Conductor Material(1 Phase 3 Wire US) using this online evaluator? To use this online evaluator for Power Factor using Volume of Conductor Material(1 Phase 3 Wire US), enter Resistivity (ρ), Power Transmitted (P), Length of Underground AC Wire (L), Line Losses (P_loss), Volume Of Conductor (V) & Maximum Voltage Underground AC (V_m) and hit the calculate button.

FAQs on Power Factor using Volume of Conductor Material(1 Phase 3 Wire US)

What is the formula to find Power Factor using Volume of Conductor Material(1 Phase 3 Wire US)?

The formula of Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) is expressed as Power Factor = sqrt(10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((Maximum Voltage Underground AC)^2))). Here is an example- 0.032248 = sqrt(10*1.7E-05*((300*24)^2)/(2.67*60*((230)^2))).

How to calculate Power Factor using Volume of Conductor Material(1 Phase 3 Wire US)?

With Resistivity (ρ), Power Transmitted (P), Length of Underground AC Wire (L), Line Losses (P_loss), Volume Of Conductor (V) & Maximum Voltage Underground AC (V_m) we can find Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) using the formula - Power Factor = sqrt(10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((Maximum Voltage Underground 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/(Maximum Voltage Underground AC*Current Underground AC)
Power Factor=((2*Power Transmitted/Maximum Voltage Underground AC)*sqrt(Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire)))
Power Factor=((2*Power Transmitted/Maximum Voltage Underground AC)*sqrt(Resistance Underground AC/(Line Losses)))

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) Formula

​GoPower Factor using Load Current (1 Phase 3 Wire US) Formula

​GoPower Factor using Area of X Section (1 Phase 3 Wire US) Formula

Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) Example

Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) Solution

Power Factor using Volume of Conductor Material(1 Phase 3 Wire US) Formula Elements

Other Formulas to find Power Factor

Other formulas in Power and Power Factor category

How to Evaluate Power Factor using Volume of Conductor Material(1 Phase 3 Wire US)?

FAQs on Power Factor using Volume of Conductor Material(1 Phase 3 Wire US)

Variable Name

GoPower Factor using Load Current (1 Phase 3 Wire US) Formula

GoPower Factor using Area of X Section (1 Phase 3 Wire US) Formula