Your Favourite Electrical Engineering College Course Question

Hello, this is my first post. I’m interested in hearing about electrical engineering assignment questions you encountered during college or sixth form that were particularly engaging, really made you think and therefore memorable. Or if you could design one such question now, what would it be?

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    (free on board answer) : Had to refresh my memory. Can't say I properly 'understood' at the time.

    In some ways one may think that renormalisation is needed so that the probability adds to 100%, so all electrons go somewhere. That would be 'normalising' against the wrong thing.

    Consider: think about a fair coin toss, that is caught mid air by a seagull. Whilst the probability of heads/tails is still 50% each, the actual probability of a head or tails in your hand (bandgap/forbidden zone) is a hard zero.

    We should, for the conduction electron case, instead of looking at at these energy levels (to see if the level has an electron pigeon holed into it), we should consider the electrons which are being 'lobbed' up from base levels, by the thermal distribution (with temperature T) which drives the distribution.

    If there is no levels ready to accept the electron, then it falls back into the electron sea, and the probability of finding the electron in the non-existent level is zero.

    It's like high jump records going in steps that are now metric, rather than imperial... (exact centimetre increments). 

    So it's a mistaken probability renormalisation problem and poor explanation of the statistics (very similar to lots of medical stats misunderstandings).

    On the sparks and arcs, IIRC, a very high voltage is needed to start the creation of the plasma in the gas, but as soon as that's established the voltage collapses (probably because we've changed state and eliminated the band gap, see above) so the electronic circuit need a saturating transformer that generates the initial extra spark voltage but conducts saturated big amps there after..