State Variables for Electrical Circuits


As we know that only capacitors and inductors are capable of storing energy in a circuit, and so only the variables related with them are able to place some influence the future condition of the circuit. The voltages from corner to corner of the capacitors and the currents through the inductors may serve as state variables.
If loops are not exclusively made up of capacitors and voltage sources, then the voltages across all the capacitors are independent variables and may be taken as state variables. In a similar way, if there are no sets of inductors and current sources that separate the circuit into two or more parts, then the currents associated with the inductors are independent variables and may be taken as state variables. 

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