Analysis of capacitor and inductor circuits based on their state/memory aspect is used when the circuit is non-linear or contains a large number of storage elements
Voltage as a state variable:
All of the relevant past history of the circuit prior to t1 is summarized in one value, q(t1)
Variables that have this property are called state variables
If we know the value of state variable at one time, and the value of input variable thereafter, we can find the value of the state variable for any subsequent time
The first order differential equations for RC and RL circuits can be written as:
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