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

STEP 0: Pre-Calculation Summary
Formula Used
Power Factor = sqrt((1.75)*Constant Underground AC/Volume Of Conductor)
PF = sqrt((1.75)*K/V)
This formula uses 1 Functions, 3 Variables
Functions Used
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
Power Factor - The power factor of an AC electrical power system is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the 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
PF = sqrt((1.75)*K/V) --> sqrt((1.75)*0.87/60)
Evaluating ... ...
PF = 0.15929532322074
STEP 3: Convert Result to Output's Unit
0.15929532322074 --> No Conversion Required
FINAL ANSWER
0.15929532322074 0.159295 <-- Power Factor
(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Power and Power Factor Calculators

Power Transmitted using Volume of Conductor Material (3 Phase 4 Wire US)
​ LaTeX ​ Go Power Transmitted = sqrt(Line Losses*Volume Of Conductor*(Maximum Voltage Underground AC*cos(Phase Difference))^2/(7*Resistivity*(Length of Underground AC Wire)^2))
Power Transmitted using Load Current (3 Phase 4 Wire US)
​ LaTeX ​ Go Power Transmitted = (3*Maximum Voltage Underground AC*cos(Phase Difference)*Current Underground AC)/sqrt(6)
Angle of PF using Volume of Conductor Material (3 Phase 4 Wire US)
​ LaTeX ​ Go Phase Difference = acos(sqrt((1.75)*Constant Underground AC/Volume Of Conductor))
Power Factor using Volume of Conductor Material (3 Phase 4 Wire US)
​ LaTeX ​ Go Power Factor = sqrt((1.75)*Constant Underground AC/Volume Of Conductor)

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

​LaTeX ​Go
Power Factor = sqrt((1.75)*Constant Underground AC/Volume Of Conductor)
PF = sqrt((1.75)*K/V)

What is the value of maximum voltage and volume of conductor material in 3-phase 4-wire system?

The volume of conductor material required in this system is 1.75/cos2θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is vm/√3 so that r.m.s. value of voltage between them is vm/√6.

How to Calculate Power Factor using Volume of Conductor Material (3 Phase 4 Wire US)?

Power Factor using Volume of Conductor Material (3 Phase 4 Wire US) calculator uses Power Factor = sqrt((1.75)*Constant Underground AC/Volume Of Conductor) to calculate the Power Factor, The Power Factor using Volume of Conductor Material (3 phase 4 wire US) formula is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit. Power Factor is denoted by PF symbol.

How to calculate Power Factor using Volume of Conductor Material (3 Phase 4 Wire US) using this online calculator? To use this online calculator for Power Factor using Volume of Conductor Material (3 Phase 4 Wire US), enter Constant Underground AC (K) & Volume Of Conductor (V) and hit the calculate button. Here is how the Power Factor using Volume of Conductor Material (3 Phase 4 Wire US) calculation can be explained with given input values -> 0.159295 = sqrt((1.75)*0.87/60).

FAQ

What is Power Factor using Volume of Conductor Material (3 Phase 4 Wire US)?
The Power Factor using Volume of Conductor Material (3 phase 4 wire US) formula is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit and is represented as PF = sqrt((1.75)*K/V) or Power Factor = sqrt((1.75)*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 Power Factor using Volume of Conductor Material (3 Phase 4 Wire US)?
The Power Factor using Volume of Conductor Material (3 phase 4 wire US) formula is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit is calculated using Power Factor = sqrt((1.75)*Constant Underground AC/Volume Of Conductor). To calculate Power Factor using Volume of Conductor Material (3 Phase 4 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 Power Factor?
In this formula, Power Factor uses Constant Underground AC & Volume Of Conductor. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Power Factor = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage Underground AC*Current Underground AC)
  • Power Factor = ((Power Transmitted/Maximum Voltage Underground AC)*sqrt(2*Resistance Underground AC/(Line Losses)))
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