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

✖Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.ⓘ Power Transmitted [P]			+10% -10%
✖Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Overhead AC [V_m]			+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 OS) [PF]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Power Factor = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC)
PF = (sqrt(2)*P)/(3*V_m)
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.
Power Transmitted - (Measured in Watt) - Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.
Maximum Voltage Overhead AC - (Measured in Volt) - Maximum Voltage Overhead 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: 890 Watt --> 890 Watt No Conversion Required
Maximum Voltage Overhead AC: 62 Volt --> 62 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

PF = (sqrt(2)*P)/(3*V_m) --> (sqrt(2)*890)/(3*62)

Evaluating ... ...

PF = 6.76693586296804

STEP 3: Convert Result to Output's Unit

6.76693586296804 --> No Conversion Required

FINAL ANSWER

6.76693586296804 ≈ 6.766936 <-- Power Factor

(Calculation completed in 00.008 seconds)

You are here -

Home » Engineering » Electrical » Power System » Overhead AC Supply » 3 Φ 4 Wire System » Power and Power Factor » Power Factor using Load Current (3-Phase 4-Wire OS)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< Power and Power Factor Calculators

Power Transmitted using Area of X-Section(3-Phase 4-Wire OS)

LaTeX Go Power Transmitted = sqrt((3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2))/(Resistivity*2*Length of Overhead AC Wire))

Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS)

LaTeX Go Power Transmitted = sqrt(3*Line Losses*Volume of Conductor*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/(7*Resistivity*(Length of Overhead AC Wire)^2))

Power Factor using Volume of Conductor Material (3-Phase 4-Wire OS)

LaTeX Go Power Factor = sqrt((0.583)*Constant Overhead AC/Volume of Conductor)

Power Transmitted(3-Phase 4-Wire OS)

LaTeX Go Power Transmitted = (1/3)*Power Transmitted per Phase

Power Factor using Load Current (3-Phase 4-Wire OS) Formula

LaTeX Go

Power Factor = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC)
PF = (sqrt(2)*P)/(3*V_m)

Why do we use 3 phase 4 wire?

The function of neutral wire in the 3 phase 4 wire system is to serve as a return wire for the general domestic supply system. The neutral is paired to each of the single-phase loads.

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

Power Factor using Load Current (3-Phase 4-Wire OS) calculator uses Power Factor = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC) to calculate the Power Factor, The Power Factor using Load Current (3-phase 4-wire OS) 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 OS) using this online calculator? To use this online calculator for Power Factor using Load Current (3-Phase 4-Wire OS), enter Power Transmitted (P) & Maximum Voltage Overhead AC (V_m) and hit the calculate button. Here is how the Power Factor using Load Current (3-Phase 4-Wire OS) calculation can be explained with given input values -> 6.766936 = (sqrt(2)*890)/(3*62).

FAQ

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

The Power Factor using Load Current (3-phase 4-wire OS) 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(2)*P)/(3*V_m) or Power Factor = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC). Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end & Maximum Voltage Overhead 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 (3-Phase 4-Wire OS)?

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

Power Factor = sqrt((0.583)*Constant Overhead AC/Volume of Conductor)
Power Factor = (Power Transmitted/Maximum Voltage Overhead AC)*sqrt(2*Resistivity*Length of Overhead AC Wire/(3*Area of Overhead AC Wire))

Home

FREE PDFs

🔍 Search