A tank circuit in a radio transmitter is a series RCL circuit connected to an an

Question

A tank circuit in a radio transmitter is a series RCL circuit connected to an antenna. The antenna broadcasts radio signals at the resonant frequency of the tank circuit. Suppose that a certain tank circuit in a shortwave radio transmitter has a fixed capacitance of 1.7 x 10-11 F and a variable inductance. If the antenna is intended to broadcast radio signals ranging in frequency from 3.4 MHz to 9.3 MHz. How do i get the answers that are given below.
a) answer: 0.000017227626 H
b) answer: 0.000128894239 H

Explanation / Answer

f = 1/(2*pi) 1/sqrt(LC)

a) 8.4E6 = 1/(2*pi)*1/sqrt(L*2.7E-11)

L=1.33E-5 H

b)4E6= 1/(2*pi)*1/sqrt(L*2.7E-11)

L=5.86E-5 H

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