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)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1500+ more calculators!
Verified by Team Softusvista
Softusvista Office (Pune), India
Team Softusvista has verified this Calculator and 1100+ more calculators!

5 Power Factor & Q Factor Calculators

Q Factor for Series RLC Circuit
Go Series RLC Quality Factor = 1/(Resistance)*(sqrt(Inductance/Capacitance))
Q Factor for Parallel RLC Circuit
Go Parallel RLC Quality Factor = Resistance*(sqrt(Capacitance/Inductance))
Power Factor given Power
Go Power Factor = Real Power/(Voltage*Current)
Power Factor given Power Factor Angle
Go Power Factor = cos(Phase Difference)
Power Factor given Impedance
Go Power Factor = Resistance/Impedance

Power Factor given Impedance Formula

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)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!