Power Factor given Impedance Calculator

✖Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).ⓘ Resistance [R]			+10% -10%
✖Impedance (Z), in electrical devices, refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system.ⓘ Impedance [Z]			+10% -10%

✖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 Impedance [cosΦ]

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Power Factor given Impedance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Factor = Resistance/Impedance
cosΦ = R/Z
This formula uses 3 Variables

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.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).
Impedance - (Measured in Ohm) - Impedance (Z), in electrical devices, refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system.

STEP 1: Convert Input(s) to Base Unit

Resistance: 60 Ohm --> 60 Ohm No Conversion Required
Impedance: 61.5 Ohm --> 61.5 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

cosΦ = R/Z --> 60/61.5

Evaluating ... ...

cosΦ = 0.975609756097561

STEP 3: Convert Result to Output's Unit

0.975609756097561 --> No Conversion Required

FINAL ANSWER

0.975609756097561 ≈ 0.97561 <-- 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

Power Factor given Impedance Formula

LaTeX Go

Power Factor = Resistance/Impedance
cosΦ = R/Z

What is power factor?

The power factor is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit.

How to Calculate Power Factor given Impedance?

Power Factor given Impedance calculator uses Power Factor = Resistance/Impedance to calculate the Power Factor, The power factor given impedance of an AC electrical power system is defined as the ratio of the resistance and impedance of the circuit. Power Factor is denoted by cosΦ symbol.

How to calculate Power Factor given Impedance using this online calculator? To use this online calculator for Power Factor given Impedance, enter Resistance (R) & Impedance (Z) and hit the calculate button. Here is how the Power Factor given Impedance calculation can be explained with given input values -> 0.97561 = 60/61.5.

FAQ

What is Power Factor given Impedance?

The power factor given impedance of an AC electrical power system is defined as the ratio of the resistance and impedance of the circuit and is represented as cosΦ = R/Z or Power Factor = Resistance/Impedance. Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω) & Impedance (Z), in electrical devices, refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system.

How to calculate Power Factor given Impedance?

The power factor given impedance of an AC electrical power system is defined as the ratio of the resistance and impedance of the circuit is calculated using Power Factor = Resistance/Impedance. To calculate Power Factor given Impedance, you need Resistance (R) & Impedance (Z). With our tool, you need to enter the respective value for Resistance & Impedance 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 Resistance & Impedance. We can use 2 other way(s) to calculate the same, which is/are as follows -

Power Factor = cos(Phase Difference)
Power Factor = Real Power/(Voltage*Current)

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