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

GoAngle of PF using Load Current(3-Phase 3-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{2 \cdot ρ \cdot \frac{P^{2} \cdot L^{2}}{3 \cdot A \cdot P loss \cdot ({V m}^{2})}})

Φ - Phase Difference?ρ - Resistivity?P - Power Transmitted?L - Length of Overhead AC Wire?A - Area of Overhead AC Wire?P_loss - Line Losses?V_m - Maximum Voltage Overhead AC?

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

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Here is how the Angle of PF using Area of X-Section(3-Phase 3-Wire OS) equation looks like with Values.

Here is how the Angle of PF using Area of X-Section(3-Phase 3-Wire OS) equation looks like with Units.

Here is how the Angle of PF using Area of X-Section(3-Phase 3-Wire OS) equation looks like.

78.3774 = a \cos (\sqrt{2 \cdot 1.7E-5 \cdot \frac{890^{2} \cdot {10.63}^{2}}{3 \cdot 0.79 \cdot 8.23 \cdot (62^{2})}})

78.3774° = a \cos (\sqrt{2 \cdot 1.7E-5Ω*m \cdot \frac{{890W}^{2} \cdot {10.63m}^{2}}{3 \cdot 0.79m² \cdot 8.23W \cdot ({62V}^{2})}})

78.3774 = a \cos (\sqrt{2 \cdot 1.7E-5 \cdot \frac{890^{2} \cdot {10.63}^{2}}{3 \cdot 0.79 \cdot 8.23 \cdot (62^{2})}})

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

Follow our step by step solution on how to calculate Angle of PF using Area of X-Section(3-Phase 3-Wire OS)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Φ = a \cos (\sqrt{2 \cdot 1.7E-5Ω*m \cdot \frac{{890W}^{2} \cdot {10.63m}^{2}}{3 \cdot 0.79m² \cdot 8.23W \cdot ({62V}^{2})}})

Next Step Prepare to Evaluate

∴

Φ = a \cos (\sqrt{2 \cdot 1.7E-5 \cdot \frac{890^{2} \cdot {10.63}^{2}}{3 \cdot 0.79 \cdot 8.23 \cdot (62^{2})}})

Next Step Evaluate

∴

Φ = 1.36794422694041rad

Next Step Convert to Output's Unit

∴

Φ = 78.3774308129865°

LAST Step Rounding Answer

∴

Φ = 78.3774°

Angle of PF using Area of X-Section(3-Phase 3-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

Resistivity

Resistivity is the measure of how strongly a material opposes the flow of current through them.

Symbol: ρ

Measurement: Electric ResistivityUnit: Ω*m

Note: Value can be positive or negative.

Formulas to find Resistivity

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

Length of Overhead AC Wire

Length of Overhead AC Wire is the total length of the wire from one end to other end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Overhead AC Wire

Area of Overhead AC Wire

Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Overhead AC Wire

Line Losses

Line Losses is defined as the total losses occurring in an Overhead AC line when in use.

Symbol: P_loss

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Line Losses

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

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 Load Current(3-Phase 3-Wire OS)

Φ = a \cos (\sqrt{2} \cdot \frac{P}{3 \cdot V m \cdot I})

Other formulas in Power and Power Factor category

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

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

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

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

How to Evaluate Angle of PF using Area of X-Section(3-Phase 3-Wire OS)?

Angle of PF using Area of X-Section(3-Phase 3-Wire OS) evaluator uses Phase Difference = acos(sqrt(2*Resistivity*(Power Transmitted^2*Length of Overhead AC Wire^2)/(3*Area of Overhead AC Wire*Line Losses*(Maximum Voltage Overhead AC^2)))) to evaluate the Phase Difference, The Angle of PF using Area of X-section(3-phase 3-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 Area of X-Section(3-Phase 3-Wire OS) using this online evaluator? To use this online evaluator for Angle of PF using Area of X-Section(3-Phase 3-Wire OS), enter Resistivity (ρ), Power Transmitted (P), Length of Overhead AC Wire (L), Area of Overhead AC Wire (A), Line Losses (P_loss) & Maximum Voltage Overhead AC (V_m) and hit the calculate button.

FAQs on Angle of PF using Area of X-Section(3-Phase 3-Wire OS)

What is the formula to find Angle of PF using Area of X-Section(3-Phase 3-Wire OS)?

The formula of Angle of PF using Area of X-Section(3-Phase 3-Wire OS) is expressed as Phase Difference = acos(sqrt(2*Resistivity*(Power Transmitted^2*Length of Overhead AC Wire^2)/(3*Area of Overhead AC Wire*Line Losses*(Maximum Voltage Overhead AC^2)))). Here is an example- 4490.696 = acos(sqrt(2*1.7E-05*(890^2*10.63^2)/(3*0.79*8.23*(62^2)))).

How to calculate Angle of PF using Area of X-Section(3-Phase 3-Wire OS)?

With Resistivity (ρ), Power Transmitted (P), Length of Overhead AC Wire (L), Area of Overhead AC Wire (A), Line Losses (P_loss) & Maximum Voltage Overhead AC (V_m) we can find Angle of PF using Area of X-Section(3-Phase 3-Wire OS) using the formula - Phase Difference = acos(sqrt(2*Resistivity*(Power Transmitted^2*Length of Overhead AC Wire^2)/(3*Area of Overhead AC Wire*Line Losses*(Maximum Voltage Overhead AC^2)))). 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)*Power Transmitted/(3*Maximum Voltage Overhead AC*Current Overhead AC))

Can the Angle of PF using Area of X-Section(3-Phase 3-Wire OS) be negative?

No, the Angle of PF using Area of X-Section(3-Phase 3-Wire OS), measured in Angle cannot be negative.

Which unit is used to measure Angle of PF using Area of X-Section(3-Phase 3-Wire OS)?

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

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

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

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

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

Angle of PF using Area of X-Section(3-Phase 3-Wire OS) Formula Elements

Other Formulas to find Phase Difference

Other formulas in Power and Power Factor category

How to Evaluate Angle of PF using Area of X-Section(3-Phase 3-Wire OS)?

FAQs on Angle of PF using Area of X-Section(3-Phase 3-Wire OS)

Variable Name

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