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

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

GoPower Factor using Area of X Section (1 Phase 3 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 = \sqrt{2} \cdot \frac{P}{V m \cdot I}

PF - Power Factor?P - Power Transmitted?V_m - Maximum Voltage Underground AC?I - Current Underground AC?

Power Factor using Load Current (1 Phase 3 Wire US) Example

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Here is how the Power Factor using Load Current (1 Phase 3 Wire US) equation looks like with Values.

Here is how the Power Factor using Load Current (1 Phase 3 Wire US) equation looks like with Units.

Here is how the Power Factor using Load Current (1 Phase 3 Wire US) equation looks like.

0.205 = \sqrt{2} \cdot \frac{300}{230 \cdot 9}

0.205 = \sqrt{2} \cdot \frac{300W}{230V \cdot 9A}

0.205 = \sqrt{2} \cdot \frac{300}{230 \cdot 9}

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Power Factor using Load Current (1 Phase 3 Wire US) Solution

Follow our step by step solution on how to calculate Power Factor using Load Current (1 Phase 3 Wire US)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

PF = \sqrt{2} \cdot \frac{300W}{230V \cdot 9A}

Next Step Prepare to Evaluate

∴

PF = \sqrt{2} \cdot \frac{300}{230 \cdot 9}

Next Step Evaluate

∴

PF = 0.204958487300449

LAST Step Rounding Answer

∴

PF = 0.205

Power Factor using Load Current (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

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

Current Underground AC

Current Underground AC is defined as the current flowing through the overhead ac supply wire.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Current 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 Volume of Conductor Material(1 Phase 3 Wire US)

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

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}})

Go Power Factor using Line Losses (1 Phase 3 Wire US)

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

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})

Go Transmitted Power using Load Current (1 Phase 3 Wire US)

P = I \cdot V m \cdot \frac{\cos (Φ)}{\sqrt{2}}

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

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

How to Evaluate Power Factor using Load Current (1 Phase 3 Wire US)?

Power Factor using Load Current (1 Phase 3 Wire US) evaluator uses Power Factor = sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC) to evaluate the Power Factor, The Power Factor using Load Current (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 Load Current (1 Phase 3 Wire US) using this online evaluator? To use this online evaluator for Power Factor using Load Current (1 Phase 3 Wire US), enter Power Transmitted (P), Maximum Voltage Underground AC (V_m) & Current Underground AC (I) and hit the calculate button.

FAQs on Power Factor using Load Current (1 Phase 3 Wire US)

What is the formula to find Power Factor using Load Current (1 Phase 3 Wire US)?

The formula of Power Factor using Load Current (1 Phase 3 Wire US) is expressed as Power Factor = sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC). Here is an example- 0.204958 = sqrt(2)*300/(230*9).

How to calculate Power Factor using Load Current (1 Phase 3 Wire US)?

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

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

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

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

Power Factor using Load Current (1 Phase 3 Wire US) Example

Power Factor using Load Current (1 Phase 3 Wire US) Solution

Power Factor using Load Current (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 Load Current (1 Phase 3 Wire US)?

FAQs on Power Factor using Load Current (1 Phase 3 Wire US)

Variable Name

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

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