Power Factor Calculator

✖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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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 00.020 seconds)

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Home » Physics » Electromagnetic Induction and Alternating Currents » Basic Physics » Electromagnetism » Basics of Electromagentic Induction » Power Factor

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Created by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

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< Basics of Electromagentic Induction Calculators

EMF Induced in Rotating Coil

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

Decay of Current in LR circuit

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

Current Value for Alternating Current

LaTeX Go Electric Current = Peak Current*sin(Angular Frequency*Time+Phase Difference)

Capacitive Reactance

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

Power Factor Formula

LaTeX Go

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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