Electric Circuits and Networks

3.3 SERIES CONNECTION OF INDUCTORS

A single equivalent inductor can replace many inductors connected in series for specific analysis purposes. We look into series equivalent and constraints on it in this section.

3.3.1 Series Connection of Inductors with Same Initial Current

We consider series connection of n inductors which have no mutual magnetic coupling among them. Let the inductance values be L₁, L₂, …,L_n. We assume that they have the same initial current in the same direction at t = 0^–. Let the applied voltage be v(t) and the current in the series combination be i(t) (Fig. 3.3-1).

 

 

Fig. 3.3-1 Series Connection of n Inductors

 

Series ...