Page 840 - Basic Electrical Engineering
P. 840

11.10.1 Power in dc and ac Circuits

               Power is the product of voltage and current. In dc circuits, P  = V × I, where
                                                                                        dc
               V is the voltage across the load and I is the current flowing through the load.
                  In ac circuits, power is the product of instantaneous value current and
               instantaneous value voltage. Thus, in an ac circuit with R–L load

                  AC Power,


                                                         p = ν × i


               where


                                                      ν = V  sin ωt
                                                             m

               and


                                                    i = I  sin (ωt − ϕ)
                                                         m
                                                 ϕ = power factor angle



                  Substituting














                  Average power is calculated over one cycle.
                  Thus,
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