Really challenging electric field problems

[Ambidext]

Ok, I'm studying electric fields this semester, covering Gaussian Law, capacitance, dielectric circuits and dc circuits.

Test coming up this thursday- open book. Which really bothers me a lot. Judging from the standard of papers thus far, if the prof is allowing open book test, that can only mean his problems in mind are going to be insanely crazy. We can refer to all our textbook examples, tutorial material and study guides. The tougher questions so far usually involve integration over a continuous distribution of variables (charges or capacitance or whatever).

Just curious, what're the toughest, most insane questions any of you have come across so far?

 

[kuruman]

You really don't want to know ...