Independence of capacitance from dielectric | ||||||||
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It is shown that there exists a uniqueness
theorem, stating that the charges given to a constant
configuration of conductors take a unique distribution, which
contrary to what is believed does not have any relation to the
uniqueness theorem of electrostatic potential. Using this theorem
we obtain coefficients of potential analytically. We show that a
simple carelessness has caused the famous formula for the
electrostatic potential to be written wrongly
while in its correct form we must use a term
showing electrostatic field arising only
from the external charges not also from the polarization charges.
Considering the above-mentioned material it is shown
that, contrary to the current belief, capacitance of a capacitor
does not at all depend on the dielectric used in it and depends
only on the configuration of its conductors. We proceed to correct
some current mistakes resulted from the above-mentioned mistakes,
eg electrostatic potential energy of and the inward force exerted
on a dielectric block entering into a parallel-plate capacitor are
obtained and compared with the wrong current ones.
It is shown that existence of dielectric in the
capacitor of a circuit causes attraction of more charges onto the
capacitor because of the polarization of the dielectric. Then, in
electric circuits we must consider the capacitor's dielectric as
a source of potential not think wrongly that existence of
dielectric changes the capacitor's capacitance. Difference between
these two understandings are verified completely during some
examples, and some experiments are proposed for testing the
theory. For example it is shown that contrary to what the current
theory predicts, resonance frequency of a circuit of RLC will
increase by inserting dielectric into the capacitor (without any
change of the geometry of its conductors). It is also shown that
what is calculated as K (dielectric constant) is in fact
2-(1/K).
(6) Independence of capacitance from dielectric (pdf)