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On 2017/Jun/08, at 14:46, John Denker via Phys-l <phys-l@mail.phys-l.org <mailto:phys-l@mail.phys-l.org>> wrote:
Now, when we use /two/ coils, symmetrically arranged about the
origin, the first-order term must vanish by symmetry. Forsooth,
all of the odd-order terms must vanish. The function, whatever
it is, must be an even function ... assuming the engineering was
done properly.
The zeroth order term survives. It is the term we wanted all along.