Page 129 - Basic Electrical Engineering
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For loop BEFCB, the voltage equation is


                               − 5 I  − 6 − (I  − I )8 = 0
                                 2
                                            2
                                                 1
               or,                    8 I  − 13 I  = 6              (ii)
                                              2
                                     1

               solving eqs. (i) and (ii), we get


                                                I  = 1.17 A, I  = 0.26A
                                                 1
                                                                2
               and current flowing through R  is (I  − I ) = 0.91 A
                                                                2
                                                           1
                                                    3
                  I  is flowing through R , I  is flowing through R  and (I  − I ) is flowing
                                              1
                                                  2
                   1
                                                                                      1
                                                                                           2
                                                                             2
               through R .
                           3
               Example 2.8     Using the mesh current method calculate the current flowing
               through the resistors in the circuit shown in Fig. 2.27.






















                                                          Figure 2.27

               Solution:


               Applying KVL in mesh I,



                               10 − 2 I  − 6(I  − I ) − 6 − 4 I  = 0
                                                               1
                                     1
                                             1
                                                  2
               or,                    6 I  + 3 I  = 2              (i)
                                     1
                                            2
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