Power Factor given Power Factor Angle Calculator

✖Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.ⓘ Phase Difference [Φ]

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✖Power Factor is defined as the ratio of the actual electrical power dissipated by an AC circuit to the product of the r.m.s. values of current and voltage.ⓘ Power Factor given Power Factor Angle [cosΦ]

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Power Factor given Power Factor Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Factor = cos(Phase Difference)
cosΦ = cos(Φ)
This formula uses 1 Functions, 2 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 - Power Factor is defined as the ratio of the actual electrical power dissipated by an AC circuit to the product of the r.m.s. values of current and voltage.
Phase Difference - (Measured in Radian) - Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

STEP 1: Convert Input(s) to Base Unit

Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

cosΦ = cos(Φ) --> cos(0.5235987755982)

Evaluating ... ...

cosΦ = 0.866025403784439

STEP 3: Convert Result to Output's Unit

0.866025403784439 --> No Conversion Required

FINAL ANSWER

0.866025403784439 ≈ 0.866025 <-- Power Factor

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Power Factor and Q Factor Calculators

Q Factor for Series RLC Circuit

LaTeX Go Series RLC Quality Factor = 1/(Resistance)*(sqrt(Inductance/Capacitance))

Power Factor given Power

LaTeX Go Power Factor = Real Power/(Voltage*Current)

Power Factor given Power Factor Angle

LaTeX Go Power Factor = cos(Phase Difference)

Power Factor given Impedance

LaTeX Go Power Factor = Resistance/Impedance

< AC Circuit Design Calculators

Capacitance for Parallel RLC Circuit using Q Factor

LaTeX Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2

Capacitance for Series RLC Circuit given Q Factor

LaTeX Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)

Capacitance given Cut off Frequency

LaTeX Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)

Capacitance using Time Constant

LaTeX Go Capacitance = Time Constant/Resistance

Power Factor given Power Factor Angle Formula

LaTeX Go

Power Factor = cos(Phase Difference)
cosΦ = cos(Φ)

What is Power factor?

In electrical engineering, 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.

How to Calculate Power Factor given Power Factor Angle?

Power Factor given Power Factor Angle calculator uses Power Factor = cos(Phase Difference) to calculate the Power Factor, Power Factor given Power Factor Angle is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit. Power Factor is denoted by cosΦ symbol.

How to calculate Power Factor given Power Factor Angle using this online calculator? To use this online calculator for Power Factor given Power Factor Angle, enter Phase Difference (Φ) and hit the calculate button. Here is how the Power Factor given Power Factor Angle calculation can be explained with given input values -> 0.866025 = cos(0.5235987755982).

FAQ

What is Power Factor given Power Factor Angle?

Power Factor given Power Factor Angle is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit and is represented as cosΦ = cos(Φ) or Power Factor = cos(Phase Difference). Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

How to calculate Power Factor given Power Factor Angle?

Power Factor given Power Factor Angle is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit is calculated using Power Factor = cos(Phase Difference). To calculate Power Factor given Power Factor Angle, you need Phase Difference (Φ). With our tool, you need to enter the respective value for Phase Difference 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 Phase Difference. We can use 3 other way(s) to calculate the same, which is/are as follows -

Power Factor = Resistance/Impedance
Power Factor = Real Power/(Voltage*Current)
Power Factor = Real Power/(Voltage*Current)

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