Three coils of inductance L ₁=2 H , L ₂=3 H and L ₃=6 H are connected such that they are separated from each other. To obtain the effective inductance of 1 henry, out of the following combinations as shown in figure, the correct one is

Step-by-step solution

The combinations P and S are series combinations. Hence, the effective inductance cannot be 1 H . This leaves combinations R and Q . For combination R , aligned & L ₁+ L ₂=5 H & 1 ~L ₁+ L ₂ + L L ₃ = 1 5 + 1 6 = 6+5 30 = 11 30 aligned L _ eff = 30 11 =2.72 H The correct combination would be Q. array ll & 1 ~L ₁ + 1 ~L ₂ + 1 ~L ₃ = 1 2 + 1 3 + 1 6 = 3 6 + 2 6 + 1 6 & L _ eff =1 H array