Power Factor given Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Power Factor = Real Power/(Voltage*Current)
cosΦ = P/(V*I)
This formula uses 4 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.
Real Power - (Measured in Watt) - The real power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load.
Voltage - (Measured in Volt) - Voltage is used to determine the value of the potential difference between terminals where alternating current flows.
Current - (Measured in Ampere) - Current or AC is an electric current which periodically reverses direction and changes its magnitude continuously with time in contrast to direct current which flows only in one direction.
STEP 1: Convert Input(s) to Base Unit
Real Power: 235 Watt --> 235 Watt No Conversion Required
Voltage: 130 Volt --> 130 Volt No Conversion Required
Current: 2.1 Ampere --> 2.1 Ampere No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
cosΦ = P/(V*I) --> 235/(130*2.1)
Evaluating ... ...
cosΦ = 0.860805860805861
STEP 3: Convert Result to Output's Unit
0.860805860805861 --> No Conversion Required
FINAL ANSWER
0.860805860805861 0.860806 <-- Power Factor
(Calculation completed in 00.004 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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

25 AC Circuit Design Calculators

Resistance for Series RLC Circuit given Q Factor
Go Resistance = sqrt(Inductance)/(Series RLC Quality Factor*sqrt(Capacitance))
Line to Neutral Current using Reactive Power
Go Line to Neutral Current = Reactive Power/(3*Line to Neutral Voltage*sin(Phase Difference))
RMS Current using Reactive Power
Go Root Mean Square Current = Reactive Power/(Root Mean Square Voltage*sin(Phase Difference))
Line to Neutral Current using Real Power
Go Line to Neutral Current = Real Power/(3*cos(Phase Difference)*Line to Neutral Voltage)
RMS Current using Real Power
Go Root Mean Square Current = Real Power/(Root Mean Square Voltage*cos(Phase Difference))
Resistance for Parallel RLC Circuit using Q Factor
Go Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance))
Resonant Frequency for RLC circuit
Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
Electric Current using Reactive Power
Go Current = Reactive Power/(Voltage*sin(Phase Difference))
Electric Current using Real Power
Go Current = Real Power/(Voltage*cos(Phase Difference))
Power in Single-Phase AC Circuits
Go Real Power = Voltage*Current*cos(Phase Difference)
Inductance for Parallel RLC Circuit using Q Factor
Go Inductance = (Capacitance*Resistance^2)/(Parallel RLC Quality Factor^2)
Capacitance for Parallel RLC Circuit using Q Factor
Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
Capacitance for Series RLC Circuit given Q Factor
Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)
Inductance for Series RLC Circuit given Q Factor
Go Inductance = Capacitance*Series RLC Quality Factor^2*Resistance^2
Capacitance given Cut off Frequency
Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)
Cut Off Frequency for RC circuit
Go Cut-off Frequency = 1/(2*pi*Capacitance*Resistance)
Complex Power
Go Complex Power = sqrt(Real Power^2+Reactive Power^2)
Complex Power given Power Factor
Go Complex Power = Real Power/cos(Phase Difference)
Current using Power Factor
Go Current = Real Power/(Power Factor*Voltage)
Current using Complex Power
Go Current = sqrt(Complex Power/Impedance)
Frequency using Time Period
Go Natural Frequency = 1/(2*pi*Time Period)
Capacitance using Time Constant
Go Capacitance = Time Constant/Resistance
Resistance using Time Constant
Go Resistance = Time Constant/Capacitance
Impedance given Complex Power and Voltage
Go Impedance = (Voltage^2)/Complex Power
Impedance given Complex Power and Current
Go Impedance = Complex Power/(Current^2)

Power Factor given Power Formula

Power Factor = Real Power/(Voltage*Current)
cosΦ = P/(V*I)

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 Power?

Power Factor given Power calculator uses Power Factor = Real Power/(Voltage*Current) to calculate the Power Factor, Power Factor given Power is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit. Power Factor is denoted by cosΦ symbol.

How to calculate Power Factor given Power using this online calculator? To use this online calculator for Power Factor given Power, enter Real Power (P), Voltage (V) & Current (I) and hit the calculate button. Here is how the Power Factor given Power calculation can be explained with given input values -> 0.860806 = 235/(130*2.1).

FAQ

What is Power Factor given Power?
Power Factor given Power is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit and is represented as cosΦ = P/(V*I) or Power Factor = Real Power/(Voltage*Current). The real power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load, Voltage is used to determine the value of the potential difference between terminals where alternating current flows & Current or AC is an electric current which periodically reverses direction and changes its magnitude continuously with time in contrast to direct current which flows only in one direction.
How to calculate Power Factor given Power?
Power Factor given Power is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit is calculated using Power Factor = Real Power/(Voltage*Current). To calculate Power Factor given Power, you need Real Power (P), Voltage (V) & Current (I). With our tool, you need to enter the respective value for Real Power, Voltage & Current 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 Real Power, Voltage & Current. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Power Factor = cos(Phase Difference)
  • Power Factor = Resistance/Impedance
  • Power Factor = cos(Phase Difference)
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