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Let us invent our own unit of Q and call it S (after Satan). The
immediate consequence of this is that the unit of k must be
N*m^2/S^2. What is the numeric value of k? It depends on
how large is one S. If S is large then k is small, and vice versa.
Please verify that the above definition of Coulomb implies that
k=8.99*10^9 N*m^2/C^2. It turns out that 4*Pi can be eliminated
from some derived formulas if k is written 1/(4*Pi*epsilon_zero),
where epsilon_zero is 8.8542*10^-12 C^2/(N*m^2). The name
given to epsilon_zero, "permittivity of free space", can not be
appreciated in this introductory physics course.
Ludwik Kowalski