I have found a very simple example that everybody can understand but that at the same time can resolve a fundamental problem. One should only see fig. 6-7 on p. 112 in W. Panofsky, M. Phillips, Classical Electricity and Magnetism, 2nd ed., Addison-Wesley, 1962 (or fig. 6-7 on p. 102 in the 1st ed.). As a pair of (vertical) capacitor plates partially dip into a dielectric liquid, the liquid inside the capacitor is shown to rise high above the surface of the liquid that is outside the capacitor. Four hypotheses seem relevant:

1. Panofsky gives a wrong picture - the effect does not exist.
2. If we punch a hole in the plate, below the surface of the liquid inside the capacitor but above the surface of the liquid outside the capacitor, no liquid will leak out through the hole.
3. The liquid will leak out in violation of the first law.
4. The liquid will leak out in violation of the second law.

I think the 4th hypothesis is correct.

Best regards,
Pentcho