Continuity of inductor currents and capacitor voltages in linear networks containing switches |

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Abstract
It is often difficult to predict if an inductor current or a capacitive voltage in a network containing switches (make-, break- and change-over contacts) is continuous, i.e. if these currents and voltages are the same immediately before and after one or more switches have changed their state. If one wishes to solve a switching problem, while not making use of the Laplace method, it is necessary to know the initial conditions of the differential equation, that is to say the values of the inductor currents and the capacitor voltages immediately after switch operating. In general those values are only known before switch operating. This paper deals with a theorem, with which it is possible to predict in the majority of cases, simply by inspection of the network, if inductor currents and capacitor voltages are continuous.

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