Power Factor Calculator

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Electromagnetic Induction

Capacitor

Electrostatics

Magnetic Field due to Current

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Basics of Electromagentic Induction

Energy

Impedance

Phase Shift

✖Root Mean Square Voltage is the square root of the time average of the voltage squared.ⓘ Root Mean Square Voltage [V_rms]			+10% -10%
✖Root Mean Square Current is defined as the root mean square of a given current.ⓘ Root Mean Square Current [I_rms]			+10% -10%
✖Phase Difference between emf and current. Since in the AC circuits emf and current are always in phase with each other.ⓘ Phase Difference [φ]			+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 [PF]

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Formula

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Power Factor

Formula

`"PF" = "V"_{"rms"}*"I"_{"rms"}*cos("φ")`

Example

`"18.80904"="7V"*"3.8A"*cos("45°")`

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Power Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Factor = Root Mean Square Voltage*Root Mean Square Current*cos(Phase Difference)
PF = V_rms*I_rms*cos(φ)
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

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.
Root Mean Square Voltage - (Measured in Volt) - Root Mean Square Voltage is the square root of the time average of the voltage squared.
Root Mean Square Current - (Measured in Ampere) - Root Mean Square Current is defined as the root mean square of a given current.
Phase Difference - (Measured in Radian) - Phase Difference between emf and current. Since in the AC circuits emf and current are always in phase with each other.

STEP 1: Convert Input(s) to Base Unit

Root Mean Square Voltage: 7 Volt --> 7 Volt No Conversion Required
Root Mean Square Current: 3.8 Ampere --> 3.8 Ampere No Conversion Required
Phase Difference: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

PF = V_rms*I_rms*cos(φ) --> 7*3.8*cos(0.785398163397301)

Evaluating ... ...

PF = 18.8090403795649

STEP 3: Convert Result to Output's Unit

18.8090403795649 --> No Conversion Required

FINAL ANSWER

18.8090403795649 ≈ 18.80904 <-- Power Factor

(Calculation completed in 00.004 seconds)

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< 15 Basics of Electromagentic Induction Calculators

EMF Induced in Rotating Coil

Go EMF Induced in a Rotating Coil = Number of Turns of Coil*Area of Loop*Magnetic Field*Angular Velocity*sin(Angular Velocity*Time)

Self Inductance of Solenoid

Go Self Inductance of Solenoid = pi*[Permeability-vacuum]*Number of Turns of Solenoid^2*Radius^2*Length of Solenoid

Growth of Current in LR Circuit

Go Growth of Current in LR Circuit = e/Resistance*(1-e^(-Time/(Inductance/Resistance)))

Decay of Current in LR circuit

Go Decay of Current in L-R Circuit = Electric Current*e^(-Time Period of Progressive Wave/(Inductance/Resistance))

Current Value for Alternating Current

Go Electric Current = Peak Current*sin(Angular Frequency*Time+Angle A)

Power Factor

Go Power Factor = Root Mean Square Voltage*Root Mean Square Current*cos(Phase Difference)

Resonant Frequency for LCR Circuit

Go Resonant Frequency = 1/(2*pi*sqrt(Impedance*Capacitance))

Total Flux in Self Inductance

Go Self Inductance of Solenoid = pi*Magnetic Flux*Radius^2

Motional EMF

Go Electromotive Force = Magnetic Field*Length*Velocity

Total Flux in Mutual Inductance

Go Total Flux in Mutual Inductance = Mutual Inductance*Electric Current

Time Period for Alternating Current

Go Time Period of Progressive Wave = (2*pi)/Angular Velocity

Capacitive Reactance

Go Capacitive Reactance = 1/(Angular Velocity*Capacitance)

Time Constant of LR Circuit

Go Time Constant of L-R Circuit = Inductance/Resistance

RMS Current given Peak Current

Go Root Mean Square Current = Electric Current/sqrt(2)

Inductive Reactance

Go Inductive Reactance = Angular Velocity*Inductance

Power Factor Formula

Power Factor = Root Mean Square Voltage*Root Mean Square Current*cos(Phase Difference)
PF = V_rms*I_rms*cos(φ)

What are the conclusions drawn from power factor?

A power factor of less than one indicates the voltage and current are not in phase, reducing the average product of the two. Real power is the instantaneous product of voltage and current and represents the capacity of the electricity for performing work. Apparent power is the product of RMS current and voltage. Due to energy stored in the load and returned to the source, or due to a non-linear load that distorts the wave shape of the current drawn from the source, the apparent power may be greater than the real power. A negative power factor occurs when the device (which is normally the load) generates power, which then flows back towards the source.

How to Calculate Power Factor?

Power Factor calculator uses Power Factor = Root Mean Square Voltage*Root Mean Square Current*cos(Phase Difference) to calculate the Power Factor, The Power Factor formula is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit, and is a dimensionless number in the closed interval of −1 to 1. Power Factor is denoted by PF symbol.

How to calculate Power Factor using this online calculator? To use this online calculator for Power Factor, enter Root Mean Square Voltage (V_rms), Root Mean Square Current (I_rms) & Phase Difference (φ) and hit the calculate button. Here is how the Power Factor calculation can be explained with given input values -> 18.80904 = 7*3.8*cos(0.785398163397301).

FAQ

What is Power Factor?

The Power Factor formula is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit, and is a dimensionless number in the closed interval of −1 to 1 and is represented as PF = V_rms*I_rms*cos(φ) or Power Factor = Root Mean Square Voltage*Root Mean Square Current*cos(Phase Difference). Root Mean Square Voltage is the square root of the time average of the voltage squared, Root Mean Square Current is defined as the root mean square of a given current & Phase Difference between emf and current. Since in the AC circuits emf and current are always in phase with each other.

How to calculate Power Factor?

The Power Factor formula is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit, and is a dimensionless number in the closed interval of −1 to 1 is calculated using Power Factor = Root Mean Square Voltage*Root Mean Square Current*cos(Phase Difference). To calculate Power Factor, you need Root Mean Square Voltage (V_rms), Root Mean Square Current (I_rms) & Phase Difference (φ). With our tool, you need to enter the respective value for Root Mean Square Voltage, Root Mean Square Current & Phase Difference and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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