Technical FAQs 4

Why are capacitors and inductors important?

Because capacitors and inductors can absorb and release energy, they can be useful in processing signals that vary in time. For example, they are invaluable in filtering and modifying signals with various time-dependent properties.

What is a constitutive relationship between a capacitor and an inductors?

As we discussed, the devices have constitutive relations that are closely analogous to those of sources. Capacitors source a voltage Q/C and inductors source a current Λ/L, but this simple picture isn’t quite suficient. The issue is that Q and change depending on Λ the current and voltage across the device.

How do capacitors and inductors source voltage?

Capacitors source a voltage Q/C and inductors source a current Λ/L, but this simple picture isn’t quite suficient. The issue is that Q and change depending on Λ the current and voltage across the device. As a result, the simplifi-cation suggested by the source model is overly naïve.

Do inductors and capacitors have internal states?

Recalling what was discussed in the last set of notes, inductors and capacitors have an internal state that affects their behavior. As we discussed, the devices have constitutive relations that are closely analogous to those of sources.

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