Advanced electronic techniques utilize microscopic structures.
Consider a single-turn solenoid in which the radius and the
length of the solenoid are both of the order 10 microns, and a
parallel plate capacitor in which the plate separation and the radius of the plates are also of the order 10 microns. Estimate the
order of magnitude of the frequency of oscillation of such a
microscopic LC circuit.
C=e*PI*(10E-6)^2/10E-6=you do it.
L=mu*Area/length=mu*PI(10E-6)^2/10E-6=mu*PI10E-6
LC=mu*PI*10E-6*ePI*10E-6
f=.159/sqrt(LC)=.159/(pi*10E-6)sqrt(mu*e)