ВЭФ 12 (Astrad VEF 12 Project) - including a transistor tutorial

[Terry]

The charge current that flows into a capacitor follows an exponential law so, even assuming that the 300A figure is achievable, it would only flow for, say, a nanosecond or so before rapidly tailing off. So heating effect: virtually zero.

You will be able to prove that when you conduct your experiment by connecting a low value fuse in series with the capacitor to see whether or not it blows ...