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

✖Constant Underground AC is defined as the constant of line of a Overhead supply system.ⓘ Constant Underground AC [K]			+10% -10%
✖Volume Of Conductor the 3-dimensional space enclosed by a conductor material.ⓘ Volume Of Conductor [V]			+10% -10%

✖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.ⓘ Angle of PF using Volume of Conductor Material (3 Phase 3 Wire US) [Φ]

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Formula

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

Formula

`"Φ" = acos(sqrt((0.5)*"K"/"V"))`

Example

`"85.11553°"=acos(sqrt((0.5)*"0.87"/"60m³"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Phase Difference = acos(sqrt((0.5)*Constant Underground AC/Volume Of Conductor))
Φ = acos(sqrt((0.5)*K/V))
This formula uses 3 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., 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., sqrt(Number)

Variables Used

Phase Difference - (Measured in Radian) - 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.
Constant Underground AC - Constant Underground AC is defined as the constant of line of a Overhead supply system.
Volume Of Conductor - (Measured in Cubic Meter) - Volume Of Conductor the 3-dimensional space enclosed by a conductor material.

STEP 1: Convert Input(s) to Base Unit

Constant Underground AC: 0.87 --> No Conversion Required
Volume Of Conductor: 60 Cubic Meter --> 60 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ = acos(sqrt((0.5)*K/V)) --> acos(sqrt((0.5)*0.87/60))

Evaluating ... ...

Φ = 1.48554617196839

STEP 3: Convert Result to Output's Unit

1.48554617196839 Radian -->85.1155259256205 Degree (Check conversion here)

FINAL ANSWER

85.1155259256205 ≈ 85.11553 Degree <-- Phase Difference

(Calculation completed in 00.004 seconds)

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< 5 Resistance & Resistivity Calculators

Resistivity using Area of X-Section (3 Phase 3 Wire US)

Go Resistivity = Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(2*(Power Transmitted^2)*Length of Underground AC Wire)

Resistivity using Volume of Conductor Material (3 Phase 3 Wire US)

Go Resistivity = Volume Of Conductor*Line Losses*(Maximum Voltage Underground AC*(cos(Phase Difference)))^2/(7*(Power Transmitted*Length of Underground AC Wire)^2)

Angle using Area of X-Section (3 Phase 3 Wire US)

Go Phase Difference = acos((Power Transmitted/Maximum Voltage Underground AC)*sqrt(2*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire)))

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

Go Phase Difference = acos(sqrt((0.5)*Constant Underground AC/Volume Of Conductor))

Resistance using Line Losses (3 Phase 3 Wire US)

Go Resistance Underground AC = Line Losses/3*(Current Underground AC^2)

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

Phase Difference = acos(sqrt((0.5)*Constant Underground AC/Volume Of Conductor))
Φ = acos(sqrt((0.5)*K/V))

How do you calculate power factor?

Power factor (PF) is the ratio of working power, measured in kilowatts (kW), to apparent power, measured in kilovolt amperes (kVA). Apparent power, also known as demand, is the measure of the amount of power used to run machinery and equipment during a certain period. It is found by multiplying (kVA = V x A).

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

Angle of PF using Volume of Conductor Material (3 Phase 3 Wire US) calculator uses Phase Difference = acos(sqrt((0.5)*Constant Underground AC/Volume Of Conductor)) to calculate the Phase Difference, The Angle of PF using Volume of Conductor Material (3 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 calculate Angle of PF using Volume of Conductor Material (3 Phase 3 Wire US) using this online calculator? To use this online calculator for Angle of PF using Volume of Conductor Material (3 Phase 3 Wire US), enter Constant Underground AC (K) & Volume Of Conductor (V) and hit the calculate button. Here is how the Angle of PF using Volume of Conductor Material (3 Phase 3 Wire US) calculation can be explained with given input values -> 4876.76 = acos(sqrt((0.5)*0.87/60)).

FAQ

What is Angle of PF using Volume of Conductor Material (3 Phase 3 Wire US)?

The Angle of PF using Volume of Conductor Material (3 phase 3 wire US) formula is defined as the phase angle between reactive and active power and is represented as Φ = acos(sqrt((0.5)*K/V)) or Phase Difference = acos(sqrt((0.5)*Constant Underground AC/Volume Of Conductor)). Constant Underground AC is defined as the constant of line of a Overhead supply system & Volume Of Conductor the 3-dimensional space enclosed by a conductor material.

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

The Angle of PF using Volume of Conductor Material (3 phase 3 wire US) formula is defined as the phase angle between reactive and active power is calculated using Phase Difference = acos(sqrt((0.5)*Constant Underground AC/Volume Of Conductor)). To calculate Angle of PF using Volume of Conductor Material (3 Phase 3 Wire US), you need Constant Underground AC (K) & Volume Of Conductor (V). With our tool, you need to enter the respective value for Constant Underground AC & Volume Of Conductor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Phase Difference?

In this formula, Phase Difference uses Constant Underground AC & Volume Of Conductor. We can use 1 other way(s) to calculate the same, which is/are as follows -

Phase Difference = acos((Power Transmitted/Maximum Voltage Underground AC)*sqrt(2*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire)))

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