Page 375 - Basic Electrical Engineering
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= 10 + j15.7
                            = 18.6 ∠57.5° Ω

                         Z  = R Ω
                           3


               Total impedance,






















               or,             Z = 4.28 ∠11° + R


               Again,



               Equating the above two expressions for Z,


                                                   4.28 ∠11° + = 9.2


               or,


                         R = 9.2 − 4.28∠11°

                            = 9.2 − 4.28 (cos 11°+ jsin 11°)

                            = 9.2 − 4.19 + j 0.8

                            = 5.01 + j 0.8


               Considering the real part,              R = 5.01Ω


               Example 3.30     In the series–parallel circuit shown in Fig. 3.62, the parallel

               branches A and B are in series with branch C. The impedances are Z  = (4 +
                                                                                                  A
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