Power Factor Formula - Active Power, Reactive Power , Apparent Power

                                                           POWER  FACTOR  FORMULA

Power  Factor Formula :-  it is the ratio of active power or true power  to the  apparent  power.

                                         Power Factor Formula:-  __ Active power__

                                                                                    Apparent  power

                                                                                     OR

                                                                Cosθ =      __ Active power (kW)__

                                                                                      Apparent power (KVA)

Active Power:- it is the actual power consumed or utilized in an circuit is known as active power, active power symbolized by P and measured in the unit of watts (w) .

                          P = Active Power

Active Power Formulas :-      P = VXI                      (for DC Circuit)

                                                  P = V I Cosθ              ( for single phase ac circuit)

                                                  P=  3 V_L I_L  Cosθ      ( for 3 phase ac circuit )

                                                  P = 3 V_PH I_PH Cosθ

                                                  P = √ (S2 – Q2

                                                  P =√ (VA² – VAR²) 

                                             kW = √ (kVA2 – kVAR2)

Reactive  Power :-  when there is no current or voltage in an ac circuit , reactive power is symbolized by Q and messured in the unit of Volt-Amps- Resistance (VAR).

                                                 Q = Reactive Power

                Ractive Power Formulas :-  Q = V I SIN 0   positive (+ve) for inductive loads                                                      

                                                                                                       

                                                    VAR =√ (VA² – P²)     negative (-Ve) for capacitive load.

                                                    kVAR = √ (kVA2 – kW2)

Apparent Power :-  it is combination of true power and reactive power , apparent power symbolized by S and measured in the unit of Volt-Amps (VA).

Apparent Power Formulas --                          

                                                                             S = V I

                                                                kVA = √kW2 + kVAR2

Power Triangle :-