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Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US) Formula

GoAngle using Area of X Section (1 Phase 3 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{10 \cdot ρ \cdot \frac{{(P \cdot L)}^{2}}{P loss \cdot V \cdot ({(V m)}^{2})}})

Φ - Phase Difference?ρ - Resistivity?P - Power Transmitted?L - Length of Underground AC Wire?P_loss - Line Losses?V - Volume Of Conductor?V_m - Maximum Voltage Underground AC?

Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US) Example

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Here is how the Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US) equation looks like with Values.

Here is how the Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US) equation looks like with Units.

Here is how the Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US) equation looks like.

88.152 = a \cos (\sqrt{10 \cdot 1.7E-5 \cdot \frac{{(300 \cdot 24)}^{2}}{2.67 \cdot 60 \cdot ({(230)}^{2})}})

88.152° = a \cos (\sqrt{10 \cdot 1.7E-5Ω*m \cdot \frac{{(300W \cdot 24m)}^{2}}{2.67W \cdot 60m³ \cdot ({(230V)}^{2})}})

88.152 = a \cos (\sqrt{10 \cdot 1.7E-5 \cdot \frac{{(300 \cdot 24)}^{2}}{2.67 \cdot 60 \cdot ({(230)}^{2})}})

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Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US) Solution

Follow our step by step solution on how to calculate Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Φ = a \cos (\sqrt{10 \cdot 1.7E-5Ω*m \cdot \frac{{(300W \cdot 24m)}^{2}}{2.67W \cdot 60m³ \cdot ({(230V)}^{2})}})

Next Step Prepare to Evaluate

∴

Φ = a \cos (\sqrt{10 \cdot 1.7E-5 \cdot \frac{{(300 \cdot 24)}^{2}}{2.67 \cdot 60 \cdot ({(230)}^{2})}})

Next Step Evaluate

∴

Φ = 1.53854310039205rad

Next Step Convert to Output's Unit

∴

Φ = 88.1520262514535°

LAST Step Rounding Answer

∴

Φ = 88.152°

Angle of PF using Volume of Conductor Material(1 Phase 3 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

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 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

Length of Underground AC Wire

Length of Underground 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 Underground AC Wire

Line Losses

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

Symbol: P_loss

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Line Losses

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

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

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

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

Other formulas in Wire Parameters category

Go Length using Volume of Conductor Material(1 Phase 3 Wire US)

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

Go Line Losses using Volume of Conductor Material(1 Phase 3 Wire US)

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

How to Evaluate Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US)?

Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US) evaluator uses Phase Difference = acos(sqrt(10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((Maximum Voltage Underground AC)^2)))) to evaluate the Phase Difference, The Angle Of PF using Volume Of Conductor Material(1 phase 3 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(1 Phase 3 Wire US) using this online evaluator? To use this online evaluator for Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US), enter Resistivity (ρ), Power Transmitted (P), Length of Underground AC Wire (L), Line Losses (P_loss), Volume Of Conductor (V) & Maximum Voltage Underground AC (V_m) and hit the calculate button.

FAQs on Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US)

What is the formula to find Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US)?

The formula of Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US) is expressed as Phase Difference = acos(sqrt(10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((Maximum Voltage Underground AC)^2)))). Here is an example- 5050.739 = acos(sqrt(10*1.7E-05*((300*24)^2)/(2.67*60*((230)^2)))).

How to calculate Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US)?

With Resistivity (ρ), Power Transmitted (P), Length of Underground AC Wire (L), Line Losses (P_loss), Volume Of Conductor (V) & Maximum Voltage Underground AC (V_m) we can find Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US) using the formula - Phase Difference = acos(sqrt(10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((Maximum Voltage Underground 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((2*Power Transmitted/Maximum Voltage Underground AC)*sqrt(Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire)))

Can the Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US) be negative?

No, the Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US), measured in Angle cannot be negative.

Which unit is used to measure Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US)?

Angle of PF using Volume of Conductor Material(1 Phase 3 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(1 Phase 3 Wire US) can be measured.

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Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US) Formula

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

Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US) Example

Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US) Solution

Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US) Formula Elements

Other Formulas to find Phase Difference

Other formulas in Wire Parameters category

How to Evaluate Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US)?

FAQs on Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US)

Variable Name

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