Capacitors/inductors have memory?

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Capacitors and inductors can be described as having "memory" in the sense that they retain energy related to voltage and current, respectively. A capacitor holds a voltage value, while an inductor maintains a current value, allowing them to influence circuit behavior based on past states. This concept is exemplified in integrators, where capacitors store output voltage until reset. However, the term "memory" should be used cautiously, as it implies a dependency on past data rather than a literal retention of information. Overall, the memory-like behavior of these components is tied to their energy storage capabilities.
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Hello, my textbook states that "Circuits that contain capacitors and/or inductors have memory". In what sense do they have memory?
my understanding of memory, is retaining value. how do inductors/capacitors retain value?

thanks
daniel
 
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An inductor stores energy in its magnetic field, a capacitor stores energy in its electric field. "Memory" might just be a poor choice of words although I'd guess you could extract some information about the circuit from the amount of energy stored at a given moment.
 
A capacitor can retain memory of a voltage and an inductor a memory of a current in a sense. For example, an integrator can be built using an opamp and a capacitor. The capacitor acts as a memory of the integral and holds the output voltage when the input goes to null. The integtal is obtained by building up the voltage across the cap. You have to have a reset circuit to drain the cap to start the integration afresh. An inductor could do something similar for a current as it strives to maintain a current through it but it is not as effective due to an inductor's resistive losses draining the current. But this idea of memory should be cautiously applied to certain situations.
 
The voltage drop across a resistor at any instant in time depends on the current at that time. The voltage drop across a capacitor at any instant in time depends on the charge (aka current) that flowed into it in the past. Memory is a reasonable word to describe a parameter that depend on past data.
 
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