Inductance and capacitance of a quarterwave monopole

Can anyone give me formulas for the inductance and capacitance of a quarterwave monopole? Actually I need to know SQRT(L/C) for a quarterwave monople that has been tuned to resonate.

Which L and C are you referring to? The input impedance will be almost real, near to 35 ohm.

The L and C that correspond to the frequency at which the length = lambda/4. By "correspond" I mean f = 1/(2*Pi*SQRT(L*C)).

Do you want to model the antenna impedance around the quarterwave frequency by a LCR circuit?

Zin for quater wave, thin rod, on infinite ground plane is 36.5 + j21.2 ohms. Half that of half wave dipole.

Shortening antenna a few percent will eliminate reactive portions with only a slight drop in real portion. But this is not a great match to 50 ohm standard transmission line.

If you add a parallel capacitive reactance of -j83 to terminals you will get very close to 50 ohm termination (about 48.6 ohms).

If diameter of antenna is greater then about 1/100th of length the impedance is lower and antenna is shortened by larger capacitance integral from rod to image (ground plane or opposite rod).

ref: Kraus, Chapter 10.3