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

GoPower Factor using Area of X-Section (3 Phase 4 Wire US) 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{(1.75) \cdot \frac{K}{V}})

Φ - Phase Difference?K - Constant Underground AC?V - Volume Of Conductor?

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

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

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

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

80.834 = a \cos (\sqrt{(1.75) \cdot \frac{0.87}{60}})

80.834° = a \cos (\sqrt{(1.75) \cdot \frac{0.87}{60m³}})

80.834 = a \cos (\sqrt{(1.75) \cdot \frac{0.87}{60}})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Φ = a \cos (\sqrt{(1.75) \cdot \frac{0.87}{60m³}})

Next Step Prepare to Evaluate

∴

Φ = a \cos (\sqrt{(1.75) \cdot \frac{0.87}{60}})

Next Step Evaluate

∴

Φ = 1.4108195062097rad

Next Step Convert to Output's Unit

∴

Φ = 80.834003360562°

LAST Step Rounding Answer

∴

Φ = 80.834°

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

Constant Underground 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 Underground AC

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

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

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

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

PF = \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 Angle of PF using Volume of Conductor Material (3 Phase 4 Wire US)?

Angle of PF using Volume of Conductor Material (3 Phase 4 Wire US) evaluator uses Phase Difference = acos(sqrt((1.75)*Constant Underground AC/Volume Of Conductor)) to evaluate the Phase Difference, The Angle of PF using Volume of Conductor Material (3 phase 4 wire US) 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 US) using this online evaluator? To use this online evaluator for Angle of PF using Volume of Conductor Material (3 Phase 4 Wire US), enter Constant Underground 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 US)

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

The formula of Angle of PF using Volume of Conductor Material (3 Phase 4 Wire US) is expressed as Phase Difference = acos(sqrt((1.75)*Constant Underground AC/Volume Of Conductor)). Here is an example- 4631.447 = acos(sqrt((1.75)*0.87/60)).

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

With Constant Underground AC (K) & Volume Of Conductor (V) we can find Angle of PF using Volume of Conductor Material (3 Phase 4 Wire US) using the formula - Phase Difference = acos(sqrt((1.75)*Constant Underground 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((Power Transmitted/Maximum Voltage Underground AC)*sqrt(2*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire*Line Losses)))

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

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

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

Angle of PF using Volume of Conductor Material (3 Phase 4 Wire US) 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 US) can be measured.

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