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I'm not sure what kind of kids are in "Ontario grade 12A Physics" and so
what type of explanation you are looking for. A quantitative explanation
was posted recently so I'll add the story I typically tell a conceptual
class:
Consider awkward fourteen-year-olds at a dance. They try to stay away
from each other. (Ok -- it's not the best analogy -- but let's just accept
the story for the sake of having something to visualize.) If the dance is
held in a round room the kids will plaster themselves against the
periphery, uniformly staying as far from each other (and the dance floor)
as possible. If, however, the room is rectangular, the kids will have
higher concentrations at the corners (not just because they're dark)
because they make the following compromise: be closer to a few of their
classmates in exchange for being farther from the majority.
The analogy is flawed in a number of ways -- but it helps kids get a first
picture.
David Strasburger