I understand that inductor current and capacitor voltage cannot change abruptly, but can inductor voltage and capacitor current change abruptly?
I have a feeling the answer is no but I cannot explain why.
Answer
In an ideal world, where a capacitor has no series inductance and an inductor has no parallel capacitance, and voltage and current sources can provide voltages and currents with a step-shaped profile, the current into a capacitor and the voltage over an inductor can change abruptly.
Not that this ideal world is an mathematical abstraction, you can't buy such components.
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