Continuity condition of Inductors

Continuity condition of Inductors
The current that flows through a linear inductor must always be a continuous. , the voltage across the inductor is not proportional to the current flowing through it but to the rate of change of the current with respect to time,()ditdt. The voltage across the inductor () is zero when the current flowing through an inductor does not change with time. This observation implies that the inductor acts as a short circuit under steady state dc current. In other words, under the steady state condition, the inductor terminals are shorted through a conducting wire. Alternating current (ac), on the other hand, is constantly changing; therefore, an inductor will create an opposition voltage polarity that tends to limit the changing current. If current changes very rapidly with time, then inductor causes a large opposition voltage across its terminals. If current changes through the inductor from one level to another level instantaneously i.e. in sec., then the voltage across it would become infinite and this would require infinite power at the terminals of the inductor. Thus, instantaneous changes in the current through an inductor are not possible at all in practice. Lv0dt􀀑
Remark-2: (i) The current flowing through the inductor cannot change instantaneously (i.e. just right before the change of current = (0)i−(0)i+ just right after the change of current). However, the voltage across an inductor can change abruptly. (ii) The inductor acts as a short circuit (i.e. inductor terminals are shorted with a conducting wire) when the current flowing through the inductor does not change (constant). (iii) These properties of inductor are important since they will be used to determine “boundary conditions”.