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Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) Formula

GoAngle of PF using Area of X-Section(3-Phase 4-Wire OS) Formula

GoAngle of PF using Load Current (3-Phase 4-Wire OS) Formula

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Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit. Check FAQs

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

Φ - Phase Difference?K - Constant Overhead AC?V - Volume of Conductor?

Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) Example

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Here is how the Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) equation looks like with Values.

Here is how the Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) equation looks like with Units.

Here is how the Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) equation looks like.

81.8788 = a \cos (\sqrt{(0.583) \cdot \frac{0.89}{26}})

81.8788° = a \cos (\sqrt{(0.583) \cdot \frac{0.89}{26m³}})

81.8788 = a \cos (\sqrt{(0.583) \cdot \frac{0.89}{26}})

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Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) Solution

Follow our step by step solution on how to calculate Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Φ = a \cos (\sqrt{(0.583) \cdot \frac{0.89}{26m³}})

Next Step Prepare to Evaluate

∴

Φ = a \cos (\sqrt{(0.583) \cdot \frac{0.89}{26}})

Next Step Evaluate

∴

Φ = 1.42905457466668rad

Next Step Convert to Output's Unit

∴

Φ = 81.8787958222791°

LAST Step Rounding Answer

∴

Φ = 81.8788°

Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) Formula Elements

Variables

Functions

Phase Difference

Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Phase Difference

Constant Overhead AC

Constant Overhead AC is defined as the constant of line of a Overhead supply system.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant Overhead AC

Volume of Conductor

Volume of Conductor is the total volume of the material used to make the conductor of an overhead ac line.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Volume of Conductor

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

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 Phase Difference

Go Angle of PF using Area of X-Section(3-Phase 4-Wire OS)

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

Go Angle of PF using Load Current (3-Phase 4-Wire OS)

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

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

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

How to Evaluate Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS)?

Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) evaluator uses Phase Difference = acos(sqrt((0.583)*Constant Overhead AC/Volume of Conductor)) to evaluate the Phase Difference, The Angle of PF using Volume of Conductor Material (3-phase 4-wire OS) formula is defined as the phase angle between reactive and active power. Phase Difference is denoted by Φ symbol.

How to evaluate Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) using this online evaluator? To use this online evaluator for Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS), enter Constant Overhead AC (K) & Volume of Conductor (V) and hit the calculate button.

FAQs on Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS)

What is the formula to find Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS)?

The formula of Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) is expressed as Phase Difference = acos(sqrt((0.583)*Constant Overhead AC/Volume of Conductor)). Here is an example- 4691.309 = acos(sqrt((0.583)*0.89/26)).

How to calculate Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS)?

With Constant Overhead AC (K) & Volume of Conductor (V) we can find Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) using the formula - Phase Difference = acos(sqrt((0.583)*Constant Overhead AC/Volume of Conductor)). This formula also uses Cosine (cos)Inverse Cosine (acos), Square Root (sqrt) function(s).

What are the other ways to Calculate Phase Difference?

Here are the different ways to Calculate Phase Difference-

Phase Difference=acos(sqrt(2*Resistivity*Length of Overhead AC Wire*(Power Transmitted^2)/(3*Area of Overhead AC Wire*Line Losses*(Maximum Voltage Overhead AC^2))))
Phase Difference=(sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC*Current Overhead AC)

Can the Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) be negative?

No, the Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS), measured in Angle cannot be negative.

Which unit is used to measure Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS)?

Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) can be measured.

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