the energy needed to dislodge one of its electrons.
An electron must accelerate
far enough without hitting anything
to reach the ionization energy for a gas.
If there isn’t enough space to accelerate
or there are too many or two few atoms that it can hit
then increasing the voltage might work.
Optimal optimum, minimal minimum
The lowest point of the Paschen curve
shows the minimum voltage, which we find
by setting the derivative of its equation to zero
and solving for X. In real life, the trick
is to determine the equation. Paschen
discovered Paschen’s law empirically;
that is, by experiment, which often requires
that you simplify and eliminate noise. In Paschen’s
case, we ignore the effect of outside light,
and assume that one impact makes one ionization,
that atoms recapturing electrons are not factors,
and that electron production by the cathode
is not affected by temperature or humidity.
One key difference between Egyptian geometry and Greek geometry
is that the Greeks idealized the space that their geometry described.
The Greek point has no dimension; the Greek line has no width;
the Greek plane is perfectly flat and without thickness.
One key difference between Egyptian geometry and Greek geometry is that the Greeks idealized the space that their geometry described. The Greek point has no dimension; the Greek line has no width; the Greek plane is perfectly flat and without thickness.
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