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Tangential suggestion: I recommend talking about _the voltage_ rather
than «the electric potential». That's because not every voltage is a
potential. Not every electric field is the gradient of some potential.
In this thread, we are talking about electrostatics, so the voltage is
in fact a potential ... but we don't want students to develop bad habits.
Treating voltage as synonymous with potential is a bad habit, and will
cause confusion later on. There is something to gain and nothing to lose
by formulating this problem in terms of voltage.