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Power Factor Angle for 3 Phase 3 Wire System 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 (\frac{P}{\sqrt{3} \cdot V ac \cdot I})

Φ - Phase Difference?P - Power Transmitted?V_ac - Voltage Underground AC?I - Current Underground AC?

Power Factor Angle for 3 Phase 3 Wire System Example

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Here is how the Power Factor Angle for 3 Phase 3 Wire System equation looks like with Values.

Here is how the Power Factor Angle for 3 Phase 3 Wire System equation looks like with Units.

Here is how the Power Factor Angle for 3 Phase 3 Wire System equation looks like.

80.7713 = a \cos (\frac{300}{\sqrt{3} \cdot 120 \cdot 9})

80.7713° = a \cos (\frac{300W}{\sqrt{3} \cdot 120V \cdot 9A})

80.7713 = a \cos (\frac{300}{\sqrt{3} \cdot 120 \cdot 9})

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Power Factor Angle for 3 Phase 3 Wire System Solution

Follow our step by step solution on how to calculate Power Factor Angle for 3 Phase 3 Wire System?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Φ = a \cos (\frac{300W}{\sqrt{3} \cdot 120V \cdot 9A})

Next Step Prepare to Evaluate

∴

Φ = a \cos (\frac{300}{\sqrt{3} \cdot 120 \cdot 9})

Next Step Evaluate

∴

Φ = 1.40972569221026rad

Next Step Convert to Output's Unit

∴

Φ = 80.7713324348213°

LAST Step Rounding Answer

∴

Φ = 80.7713°

Power Factor Angle for 3 Phase 3 Wire System 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

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

Voltage Underground AC

Voltage Underground AC is defined as the amount of work or force required to start the conduction of current within a line.

Symbol: V_ac

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Voltage Underground AC

Current Underground AC

Current Underground AC is defined as the current flowing through the overhead ac supply wire.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Current 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 in Power and Power Factor category

Go Power Transmitted using Volume of Conductor Material (3 Phase 3 Wire US)

P = \sqrt{P loss \cdot V \cdot \frac{{(V m \cdot \cos (Φ))}^{2}}{6 \cdot ρ \cdot {(L)}^{2}}}

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

PF = \sqrt{(1.5) \cdot \frac{K}{V}}

Go Power Transmitted Per Phase (3 Phase 3 Wire US)

P t = \frac{P}{3}

Go Power Transmitted using Load Current Per Phase (3 Phase 3 Wire US)

P = I \cdot 3 \cdot V m \cdot \frac{\cos (Φ)}{\sqrt{6}}

How to Evaluate Power Factor Angle for 3 Phase 3 Wire System?

Power Factor Angle for 3 Phase 3 Wire System evaluator uses Phase Difference = acos(Power Transmitted/(sqrt(3)*Voltage Underground AC*Current Underground AC)) to evaluate the Phase Difference, Power factor angle for 3 phase 3 wire system formula is defined as the phase angle between reactive and active power for a three phase and three wire system. Phase Difference is denoted by Φ symbol.

How to evaluate Power Factor Angle for 3 Phase 3 Wire System using this online evaluator? To use this online evaluator for Power Factor Angle for 3 Phase 3 Wire System, enter Power Transmitted (P), Voltage Underground AC (V_ac) & Current Underground AC (I) and hit the calculate button.

FAQs on Power Factor Angle for 3 Phase 3 Wire System

What is the formula to find Power Factor Angle for 3 Phase 3 Wire System?

The formula of Power Factor Angle for 3 Phase 3 Wire System is expressed as Phase Difference = acos(Power Transmitted/(sqrt(3)*Voltage Underground AC*Current Underground AC)). Here is an example- 4627.856 = acos(300/(sqrt(3)*120*9)).

How to calculate Power Factor Angle for 3 Phase 3 Wire System?

With Power Transmitted (P), Voltage Underground AC (V_ac) & Current Underground AC (I) we can find Power Factor Angle for 3 Phase 3 Wire System using the formula - Phase Difference = acos(Power Transmitted/(sqrt(3)*Voltage Underground AC*Current Underground AC)). This formula also uses Cosine (cos)Inverse Cosine (acos), Square Root (sqrt) function(s).

Can the Power Factor Angle for 3 Phase 3 Wire System be negative?

No, the Power Factor Angle for 3 Phase 3 Wire System, measured in Angle cannot be negative.

Which unit is used to measure Power Factor Angle for 3 Phase 3 Wire System?

Power Factor Angle for 3 Phase 3 Wire System is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Power Factor Angle for 3 Phase 3 Wire System can be measured.

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Power Factor Angle for 3 Phase 3 Wire System Formula

Power Factor Angle for 3 Phase 3 Wire System Example

Power Factor Angle for 3 Phase 3 Wire System Solution

Power Factor Angle for 3 Phase 3 Wire System Formula Elements

Other formulas in Power and Power Factor category

How to Evaluate Power Factor Angle for 3 Phase 3 Wire System?

FAQs on Power Factor Angle for 3 Phase 3 Wire System

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