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Power Factor using Line Losses (3 Phase 4 Wire US) Formula

GoPower Factor using Volume of Conductor Material (3 Phase 4 Wire US) Formula

GoPower Factor using Load Current (3 Phase 4 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 = ((\frac{P}{V m}) \cdot \sqrt{2 \cdot \frac{R}{P loss}})

PF - Power Factor?P - Power Transmitted?V_m - Maximum Voltage Underground AC?R - Resistance Underground AC?P_loss - Line Losses?

Power Factor using Line Losses (3 Phase 4 Wire US) Example

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Here is how the Power Factor using Line Losses (3 Phase 4 Wire US) equation looks like with Values.

Here is how the Power Factor using Line Losses (3 Phase 4 Wire US) equation looks like with Units.

Here is how the Power Factor using Line Losses (3 Phase 4 Wire US) equation looks like.

2.5243 = ((\frac{300}{230}) \cdot \sqrt{2 \cdot \frac{5}{2.67}})

2.5243 = ((\frac{300W}{230V}) \cdot \sqrt{2 \cdot \frac{5Ω}{2.67W}})

2.5243 = ((\frac{300}{230}) \cdot \sqrt{2 \cdot \frac{5}{2.67}})

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Power Factor using Line Losses (3 Phase 4 Wire US) Solution

Follow our step by step solution on how to calculate Power Factor using Line Losses (3 Phase 4 Wire US)?

FIRST Step Consider the formula

PF = ((\frac{P}{V m}) \cdot \sqrt{2 \cdot \frac{R}{P loss}})

Next Step Substitute values of Variables

∴

PF = ((\frac{300W}{230V}) \cdot \sqrt{2 \cdot \frac{5Ω}{2.67W}})

Next Step Prepare to Evaluate

∴

PF = ((\frac{300}{230}) \cdot \sqrt{2 \cdot \frac{5}{2.67}})

Next Step Evaluate

∴

PF = 2.52428152081364

LAST Step Rounding Answer

∴

PF = 2.5243

Power Factor using Line Losses (3 Phase 4 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

Resistance Underground AC

Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance Underground AC

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

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 Volume of Conductor Material (3 Phase 4 Wire US)

PF = \sqrt{(1.75) \cdot \frac{K}{V}}

Go Power Factor using Load Current (3 Phase 4 Wire US)

PF = \frac{\sqrt{6} \cdot P}{3 \cdot V m \cdot I}

Other formulas in Power and Power Factor category

Go Power Transmitted using Volume of Conductor Material (3 Phase 4 Wire US)

P = \sqrt{P loss \cdot V \cdot \frac{{(V m \cdot \cos (Φ))}^{2}}{7 \cdot ρ \cdot {(L)}^{2}}}

Go Angle of PF using Volume of Conductor Material (3 Phase 4 Wire US)

Φ = a \cos (\sqrt{(1.75) \cdot \frac{K}{V}})

Go Power Transmitted using Load Current (3 Phase 4 Wire US)

P = \frac{3 \cdot V m \cdot \cos (Φ) \cdot I}{\sqrt{6}}

Go Power Transmitted using Area of X-Section (3 Phase 4 Wire US)

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

How to Evaluate Power Factor using Line Losses (3 Phase 4 Wire US)?

Power Factor using Line Losses (3 Phase 4 Wire US) evaluator uses Power Factor = ((Power Transmitted/Maximum Voltage Underground AC)*sqrt(2*Resistance Underground AC/(Line Losses))) to evaluate the Power Factor, The Power Factor using Line Losses (3 phase 4 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 (3 Phase 4 Wire US) using this online evaluator? To use this online evaluator for Power Factor using Line Losses (3 Phase 4 Wire US), enter Power Transmitted (P), Maximum Voltage Underground AC (V_m), Resistance Underground AC (R) & Line Losses (P_loss) and hit the calculate button.

FAQs on Power Factor using Line Losses (3 Phase 4 Wire US)

What is the formula to find Power Factor using Line Losses (3 Phase 4 Wire US)?

The formula of Power Factor using Line Losses (3 Phase 4 Wire US) is expressed as Power Factor = ((Power Transmitted/Maximum Voltage Underground AC)*sqrt(2*Resistance Underground AC/(Line Losses))). Here is an example- 2.524282 = ((300/230)*sqrt(2*5/(2.67))).

How to calculate Power Factor using Line Losses (3 Phase 4 Wire US)?

With Power Transmitted (P), Maximum Voltage Underground AC (V_m), Resistance Underground AC (R) & Line Losses (P_loss) we can find Power Factor using Line Losses (3 Phase 4 Wire US) using the formula - Power Factor = ((Power Transmitted/Maximum Voltage Underground AC)*sqrt(2*Resistance Underground AC/(Line Losses))). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Power Factor?

Here are the different ways to Calculate Power Factor-

Power Factor=sqrt((1.75)*Constant Underground AC/Volume Of Conductor)
Power Factor=(sqrt(6)*Power Transmitted)/(3*Maximum Voltage Underground AC*Current Underground AC)

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Power Factor using Line Losses (3 Phase 4 Wire US) Formula

​GoPower Factor using Volume of Conductor Material (3 Phase 4 Wire US) Formula

​GoPower Factor using Load Current (3 Phase 4 Wire US) Formula

Power Factor using Line Losses (3 Phase 4 Wire US) Example

Power Factor using Line Losses (3 Phase 4 Wire US) Solution

Power Factor using Line Losses (3 Phase 4 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 (3 Phase 4 Wire US)?

FAQs on Power Factor using Line Losses (3 Phase 4 Wire US)

Variable Name

GoPower Factor using Volume of Conductor Material (3 Phase 4 Wire US) Formula

GoPower Factor using Load Current (3 Phase 4 Wire US) Formula