What capacitance in needed in series with an 785 µH inductor to form a circuit that radiates a wavelength of 199 m?
c = speed of light = 3 * 10^8 m/s
199 = c T
T =199/3*10^8
f = 1/T = 300* 10^6/199 = 1.51 * 10^6 Hz
omega = 2 pi f = 9.47 * 10^6
omega^2 = 1/(LC) = 89.7*10^12
so
C (785 * 10^-6) = (1/89.7) 10^-12
C = (1/70414) 10^-6
= 1.42 * 10^-5*10^-6 = 1.42 * 10-11