Power Factor using Load Current (3 Phase 4 Wire US) Calculator

✖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.ⓘ Power Transmitted [P]			+10% -10%
✖Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Underground AC [V_m]			+10% -10%
✖Current Underground AC is defined as the current flowing through the overhead ac supply wire.ⓘ Current Underground AC [I]			+10% -10%

✖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 Factor using Load Current (3 Phase 4 Wire US) [PF]

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Power Factor using Load Current (3 Phase 4 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Factor = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage Underground AC*Current Underground AC)
PF = (sqrt(6)*P)/(3*V_m*I)
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.
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.
Current Underground AC - (Measured in Ampere) - Current Underground AC is defined as the current flowing through the overhead ac supply wire.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required
Current Underground AC: 9 Ampere --> 9 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

PF = (sqrt(6)*P)/(3*V_m*I) --> (sqrt(6)*300)/(3*230*9)

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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Created by Urvi Rathod

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 Load Current (3 Phase 4 Wire US) Formula

LaTeX Go

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

What is the correct power factor?

The ideal power factor is unity, or one. Anything less than one means that extra power is required to achieve the actual task at hand. All current flow causes losses both in the supply and distribution system. A load with a power factor of 1.0 results in the most efficient loading of the supply.

How to Calculate Power Factor using Load Current (3 Phase 4 Wire US)?

Power Factor using Load Current (3 Phase 4 Wire US) calculator uses Power Factor = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage Underground AC*Current Underground AC) to calculate the Power Factor, The Power Factor using Load Current (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 Load Current (3 Phase 4 Wire US) using this online calculator? To use this online calculator for Power Factor using Load Current (3 Phase 4 Wire US), enter Power Transmitted (P), Maximum Voltage Underground AC (V_m) & Current Underground AC (I) and hit the calculate button. Here is how the Power Factor using Load Current (3 Phase 4 Wire US) calculation can be explained with given input values -> 0.118333 = (sqrt(6)*300)/(3*230*9).

FAQ

What is Power Factor using Load Current (3 Phase 4 Wire US)?

The Power Factor using Load Current (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(6)*P)/(3*V_m*I) or Power Factor = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage Underground AC*Current Underground AC). 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, Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire & Current Underground AC is defined as the current flowing through the overhead ac supply wire.

How to calculate Power Factor using Load Current (3 Phase 4 Wire US)?

The Power Factor using Load Current (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(6)*Power Transmitted)/(3*Maximum Voltage Underground AC*Current Underground AC). To calculate Power Factor using Load Current (3 Phase 4 Wire US), you need Power Transmitted (P), Maximum Voltage Underground AC (V_m) & Current Underground AC (I). With our tool, you need to enter the respective value for Power Transmitted, Maximum Voltage Underground AC & Current 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, Maximum Voltage Underground AC & Current Underground AC. We can use 2 other way(s) to calculate the same, which is/are as follows -

Power Factor = sqrt((1.75)*Constant Underground AC/Volume Of Conductor)
Power Factor = ((Power Transmitted/Maximum Voltage Underground AC)*sqrt(2*Resistance Underground AC/(Line Losses)))

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