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Power Factor using Load Current (3-Phase 4-Wire OS) Formula

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

GoPower Factor using Area of X-Section(3-Phase 4-Wire OS) 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{\sqrt{2} \cdot P}{3 \cdot V m}

PF - Power Factor?P - Power Transmitted?V_m - Maximum Voltage Overhead AC?

Power Factor using Load Current (3-Phase 4-Wire OS) Example

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Here is how the Power Factor using Load Current (3-Phase 4-Wire OS) equation looks like with Values.

Here is how the Power Factor using Load Current (3-Phase 4-Wire OS) equation looks like with Units.

Here is how the Power Factor using Load Current (3-Phase 4-Wire OS) equation looks like.

6.7669 = \frac{\sqrt{2} \cdot 890}{3 \cdot 62}

6.7669 = \frac{\sqrt{2} \cdot 890W}{3 \cdot 62V}

6.7669 = \frac{\sqrt{2} \cdot 890}{3 \cdot 62}

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Power Factor using Load Current (3-Phase 4-Wire OS) Solution

Follow our step by step solution on how to calculate Power Factor using Load Current (3-Phase 4-Wire OS)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

PF = \frac{\sqrt{2} \cdot 890W}{3 \cdot 62V}

Next Step Prepare to Evaluate

∴

PF = \frac{\sqrt{2} \cdot 890}{3 \cdot 62}

Next Step Evaluate

∴

PF = 6.76693586296804

LAST Step Rounding Answer

∴

PF = 6.7669

Power Factor using Load Current (3-Phase 4-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

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

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 Volume of Conductor Material (3-Phase 4-Wire OS)

PF = \sqrt{(0.583) \cdot \frac{K}{V}}

Go Power Factor using Area of X-Section(3-Phase 4-Wire OS)

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

Other formulas in Power and Power Factor category

Go Power Transmitted(3-Phase 4-Wire OS)

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

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

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

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

P = \sqrt{3 \cdot 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 OS)

Φ = a \cos (\sqrt{(0.583) \cdot \frac{K}{V}})

How to Evaluate Power Factor using Load Current (3-Phase 4-Wire OS)?

Power Factor using Load Current (3-Phase 4-Wire OS) evaluator uses Power Factor = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC) to evaluate the Power Factor, The Power Factor using Load Current (3-phase 4-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 Load Current (3-Phase 4-Wire OS) using this online evaluator? To use this online evaluator for Power Factor using Load Current (3-Phase 4-Wire OS), enter Power Transmitted (P) & Maximum Voltage Overhead AC (V_m) and hit the calculate button.

FAQs on Power Factor using Load Current (3-Phase 4-Wire OS)

What is the formula to find Power Factor using Load Current (3-Phase 4-Wire OS)?

The formula of Power Factor using Load Current (3-Phase 4-Wire OS) is expressed as Power Factor = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC). Here is an example- 6.766936 = (sqrt(2)*890)/(3*62).

How to calculate Power Factor using Load Current (3-Phase 4-Wire OS)?

With Power Transmitted (P) & Maximum Voltage Overhead AC (V_m) we can find Power Factor using Load Current (3-Phase 4-Wire OS) using the formula - Power Factor = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC). 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((0.583)*Constant Overhead AC/Volume of Conductor)
Power Factor=(Power Transmitted/Maximum Voltage Overhead AC)*sqrt(2*Resistivity*Length of Overhead AC Wire/(3*Area of Overhead AC Wire))

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