Power Factor using Load Current (1-Phase 2-Wire Mid-Point Earthed) 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%
✖Current Underground AC is defined as the current flowing through the overhead ac supply wire.ⓘ Current Underground AC [I]			+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%

✖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 (1-Phase 2-Wire Mid-Point Earthed) [PF]

⎘ Copy

👎

Formula

✖

Power Factor using Load Current (1-Phase 2-Wire Mid-Point Earthed)

Formula

`"PF" = (sqrt(2)*"P")/("I"*"V"_{"m"})`

Example

`"0.204958"=(sqrt(2)*"300W")/("9A"*"230V")`

Calculator

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

Power Factor using Load Current (1-Phase 2-Wire Mid-Point Earthed) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Factor = (sqrt(2)*Power Transmitted)/(Current Underground AC*Maximum Voltage Underground AC)
PF = (sqrt(2)*P)/(I*V_m)
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(2)*P)/(I*V_m) --> (sqrt(2)*300)/(9*230)

Evaluating ... ...

PF = 0.204958487300449

STEP 3: Convert Result to Output's Unit

0.204958487300449 --> No Conversion Required

FINAL ANSWER

0.204958487300449 ≈ 0.204958 <-- Power Factor

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Underground AC Supply » 1-Φ 2-Wire Mid-Point Earthed System » Power & Power Factor » Power Factor using Load Current (1-Phase 2-Wire Mid-Point Earthed)

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!

< 6 Power & Power Factor Calculators

Power Transmitted using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)

Go Power Transmitted = sqrt(Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC*cos(Phase Difference))^2/(4*Resistivity*Length of Underground AC Wire))

Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)

Go Power Factor = sqrt(4*(Power Transmitted^2)*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)))

Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed)

Go Power Transmitted = sqrt(Line Losses/(2*Resistance Underground AC))*(Maximum Voltage Underground AC*cos(Phase Difference)/sqrt(2))

Power Factor using Line Losses (1-Phase 2-Wire Mid-Point Earthed)

Go Power Factor = sqrt(4*(Power Transmitted^2)*Resistance Underground AC/(Line Losses*(Maximum Voltage Underground AC^2)))

Power Transmitted using Load Current (1-Phase 2-Wire Mid-Point Earthed)

Go Power Transmitted = Current Underground AC*Maximum Voltage Underground AC*cos(Phase Difference)/sqrt(2)

Power Factor using Load Current (1-Phase 2-Wire Mid-Point Earthed)

Go Power Factor = (sqrt(2)*Power Transmitted)/(Current Underground AC*Maximum Voltage Underground AC)

Power Factor using Load Current (1-Phase 2-Wire Mid-Point Earthed) Formula

Power Factor = (sqrt(2)*Power Transmitted)/(Current Underground AC*Maximum Voltage Underground AC)
PF = (sqrt(2)*P)/(I*V_m)

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 (1-Phase 2-Wire Mid-Point Earthed)?

Power Factor using Load Current (1-Phase 2-Wire Mid-Point Earthed) calculator uses Power Factor = (sqrt(2)*Power Transmitted)/(Current Underground AC*Maximum Voltage Underground AC) to calculate the Power Factor, The Power Factor using Load Current (1-phase 2-wire Mid-point Earthed) 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 (1-Phase 2-Wire Mid-Point Earthed) using this online calculator? To use this online calculator for Power Factor using Load Current (1-Phase 2-Wire Mid-Point Earthed), enter Power Transmitted (P), Current Underground AC (I) & Maximum Voltage Underground AC (V_m) and hit the calculate button. Here is how the Power Factor using Load Current (1-Phase 2-Wire Mid-Point Earthed) calculation can be explained with given input values -> 0.204958 = (sqrt(2)*300)/(9*230).

FAQ

What is Power Factor using Load Current (1-Phase 2-Wire Mid-Point Earthed)?

The Power Factor using Load Current (1-phase 2-wire Mid-point Earthed) 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)/(I*V_m) or Power Factor = (sqrt(2)*Power Transmitted)/(Current Underground AC*Maximum Voltage 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, 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 (1-Phase 2-Wire Mid-Point Earthed)?

The Power Factor using Load Current (1-phase 2-wire Mid-point Earthed) 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)/(Current Underground AC*Maximum Voltage Underground AC). To calculate Power Factor using Load Current (1-Phase 2-Wire Mid-Point Earthed), you need Power Transmitted (P), Current Underground AC (I) & Maximum Voltage Underground AC (V_m). 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(4*(Power Transmitted^2)*Resistance Underground AC/(Line Losses*(Maximum Voltage Underground AC^2)))
Power Factor = sqrt(4*(Power Transmitted^2)*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)))

Home

FREE PDFs

🔍 Search