Power Factor using Load Current Per Phase (3 Phase 3 Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Power Factor = sqrt(6)*Power Transmitted/(Current Underground AC*Maximum Voltage Underground AC*3)
PF = sqrt(6)*P/(I*Vm*3)
This formula uses 1 Functions, 4 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.
Power Transmitted - (Measured in Watt) - 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.
Current Underground AC - (Measured in Ampere) - Current Underground AC is defined as the current flowing through the overhead ac supply wire.
Maximum Voltage Underground AC - (Measured in Volt) - Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
STEP 1: Convert Input(s) to Base Unit
Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Current Underground AC: 9 Ampere --> 9 Ampere No Conversion Required
Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PF = sqrt(6)*P/(I*Vm*3) --> sqrt(6)*300/(9*230*3)
Evaluating ... ...
PF = 0.118332837815612
STEP 3: Convert Result to Output's Unit
0.118332837815612 --> No Conversion Required
FINAL ANSWER
0.118332837815612 0.118333 <-- Power Factor
(Calculation completed in 00.020 seconds)

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8 Power & Power Factor Calculators

Power Transmitted using Area of X-Section (3 Phase 3 Wire US)
Go Power Transmitted = sqrt(Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(2*Resistivity*Length of Underground AC Wire))
Power Transmitted using Volume of Conductor Material (3 Phase 3 Wire US)
Go Power Transmitted = sqrt(Line Losses*Volume Of Conductor*(Maximum Voltage Underground AC*cos(Phase Difference))^2/(6*Resistivity*(Length of Underground AC Wire)^2))
Power Factor using Area of X-Section (3 Phase 3 Wire US)
Go Power Factor = (Power Transmitted/Maximum Voltage Underground AC)*sqrt(2*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire))
Power Transmitted using Load Current Per Phase (3 Phase 3 Wire US)
Go Power Transmitted = Current Underground AC*3*Maximum Voltage Underground AC*cos(Phase Difference)/sqrt(6)
Power Factor Angle for 3 Phase 3 Wire System
Go Phase Difference = acos(Power Transmitted/(sqrt(3)*Voltage Underground AC*Current Underground AC))
Power Factor using Load Current Per Phase (3 Phase 3 Wire US)
Go Power Factor = sqrt(6)*Power Transmitted/(Current Underground AC*Maximum Voltage Underground AC*3)
Power Factor using Volume of Conductor Material (3 Phase 3 Wire US)
Go Power Factor = sqrt((1.5)*Constant Underground AC/Volume Of Conductor)
Power Transmitted Per Phase (3 Phase 3 Wire US)
Go Power Transmitted per Phase = Power Transmitted/3

Power Factor using Load Current Per Phase (3 Phase 3 Wire US) Formula

Power Factor = sqrt(6)*Power Transmitted/(Current Underground AC*Maximum Voltage Underground AC*3)
PF = sqrt(6)*P/(I*Vm*3)

How are power factor and power angle related?

Power angles are generally caused due to voltage drop due to impedance in the transmission line. The power factor is caused due to phase angle between reactive and active power.

How to Calculate Power Factor using Load Current Per Phase (3 Phase 3 Wire US)?

Power Factor using Load Current Per Phase (3 Phase 3 Wire US) calculator uses Power Factor = sqrt(6)*Power Transmitted/(Current Underground AC*Maximum Voltage Underground AC*3) to calculate the Power Factor, The Power Factor using Load Current Per Phase (3 phase 3 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 Load Current Per Phase (3 Phase 3 Wire US) using this online calculator? To use this online calculator for Power Factor using Load Current Per Phase (3 Phase 3 Wire US), enter Power Transmitted (P), Current Underground AC (I) & Maximum Voltage Underground AC (Vm) and hit the calculate button. Here is how the Power Factor using Load Current Per Phase (3 Phase 3 Wire US) calculation can be explained with given input values -> 0.118333 = sqrt(6)*300/(9*230*3).

FAQ

What is Power Factor using Load Current Per Phase (3 Phase 3 Wire US)?
The Power Factor using Load Current Per Phase (3 phase 3 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(6)*P/(I*Vm*3) or Power Factor = sqrt(6)*Power Transmitted/(Current Underground AC*Maximum Voltage Underground AC*3). 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, Current Underground AC is defined as the current flowing through the overhead ac supply wire & Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
How to calculate Power Factor using Load Current Per Phase (3 Phase 3 Wire US)?
The Power Factor using Load Current Per Phase (3 phase 3 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(6)*Power Transmitted/(Current Underground AC*Maximum Voltage Underground AC*3). To calculate Power Factor using Load Current Per Phase (3 Phase 3 Wire US), you need Power Transmitted (P), Current Underground AC (I) & Maximum Voltage Underground AC (Vm). With our tool, you need to enter the respective value for Power Transmitted, Current Underground AC & Maximum Voltage Underground AC 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 Power Transmitted, Current Underground AC & Maximum Voltage Underground AC. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Power Factor = sqrt((1.5)*Constant Underground AC/Volume Of Conductor)
  • Power Factor = (Power Transmitted/Maximum Voltage Underground AC)*sqrt(2*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire))
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