Discusses an analytical solution for the capacitance of the circular m
icrostrip patch resonator. Shows that the electrostatic problem can be
formulated as a system of dual integral equations, which is reduced t
o a single Fredholm integral equation of the second kind with a contin
uous kernel. Discusses the solution of this new integral equation in a
certain range of the parameters, and derives some useful formulas for
the capacitance. Finally, gives plots of the capacitance in a wide ra
nge of the relative permittivity.