There is a lot of information about RLC circuits and resonance, and many times it is mentioned that when a series (parallel) circuit resonates, a really high voltage (current) can be found across the inductor and the capacitor and this can lead to faults of components.
But why? I mean, it's clear that if I take a component and put it under 1kV, it's going to break (unless designed for sustaining high voltages...), but I see the case of resonance a bit different: while it's true that there is a high voltage/current across the components, the net voltage/current is zero if you consider both the capacitor and the inductor. Let's take an RLC series: the voltage across the series of the capacitor and the inductor is zero, at the resonance. The power supply or the load are not interested in whatever high voltage is there across the capacitor or the inductor. So why should it lead to problems?
Please let's assume that the capacitor and the inductor have no problem in sustaining the voltage across themselves and they don't break because of it. The issue is how this can lead to problems for other components in the circuit.