Electrical Engineering ⇒ Topic : Parallel Opposing

Parallel Opposing:-

Figure (a)shows that the two coils are connected in parallel connection such that mutually induced e.m.f. in one coil due to variation of current in other coil is negative.Using KVL, we can write

                Figure (a) Inductive coupling in parallel (flux opposing

                                                                  ............  (1)

                                                                   ............. (2)

From Eqs. (1) and (2), we have

                                       ............ (3)

 since                                        ............. (4)

Using Eq. (4), we get the following from Eq. (3):

                          .......... (5)

Similarly, we have

                                                              ...............(6)

Using Eqs. (5) and (6), we can write the following from Eq. (1),

         ................. (7)

if L is the equivalent inductance of Figure (a), we can write

                                                                                    ............... (8)

From Eqs. (7) and (8), we get

                                                               .............  (9)

Equation (9) gives the equivalent inductance of Figure (a).