Pulse and Digital Circuits

Appendix B: Continuity Theorems in Network Analysis

Constant Flux Linkage Theorem: The constant flux linkage theorem states that flux linkages in an inductor cannot change abruptly.

Proof: Let flux linkages change abruptly. Consequently, in keeping with Faraday’s laws, infinite voltage has to be induced. As infinity is not practical, the assumption of abrupt change is wrong. (This logic is called the logic of “reductio-ad-absurdum or the logic of contradiction.”) If L is constant, this theorem is called the constant current theorem.

Constant Charge or Constant Voltage Theorem: These theorems state that the charge or voltage in a capacitor cannot change abruptly. Both of these theorems can be proved using the same logic described for the previous ...