Given plates of area A separated by a distance d (and ignoring edge effects), the capacitance in cgs is
In MKS, the capacitance is given by by
where
is the permittivity of free space.
Kirchhoff's formula for a circular parallel plate capacitor in cgs including edge effects is
(Landau and Lifschitz 1987, p. 19).
For sinusoidally driven circular plates, the electric field E must obey the wave equation.
where c is the speed of light. In cylindrical coordinates, the solution is
where
is a Bessel function of the first kind,
is a Bessel function of the second kind,k is the wavenumber,
is the angular frequency, and A and B are constants. Using the boundary condition
so the solution is
(1)
In MKS, the capacitance is given by by
(2)
where
is the permittivity of free space.Kirchhoff's formula for a circular parallel plate capacitor in cgs including edge effects is
(3)
(Landau and Lifschitz 1987, p. 19).
For sinusoidally driven circular plates, the electric field E must obey the wave equation.
(4)
where c is the speed of light. In cylindrical coordinates, the solution is
(5)
where
is a Bessel function of the first kind, is a Bessel function of the second kind,k is the wavenumber, is the angular frequency, and A and B are constants. Using the boundary condition(6)
so the solution is
(7)
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