Page 342 - Basic Electrical Engineering
P. 342

Let                                  V  = a  + jb  and V  = a  + jb      2
                                                                             2
                                                        1
                                                                    1
                                                                                   2
                                                             1
                Addition:                             V = V  + V    2
                                                              1
                                                         = (a  + jb ) + (a  + jb )
                                                             1
                                                                                  2
                                                                           2
                                                                    1
                                                         = (a  + a ) + j(b  + b )
                                                                   2
                                                             1
                                                                                 2
                                                                           1
                Magnitude of the resultant
                vector



                Phase angle,


                Subtraction:                         V = V  − V    2
                                                             1
                                                         = (a  + jb ) − (a  − jb )
                                                                    1
                                                                           2
                                                             1
                                                                                  2
                                                         = (a  − a ) + j(b  − b )
                                                                           1
                                                                                 2
                                                                   2
                                                             1
                Magnitude of the resultant
                vector





                Phase angle,



               Multiplication and division of phasor quantities



               Let
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