Chapter 2, Problem 13PP

Consider the following tuning circuit connected to an antenna, where C is a variable capacitor whose capacitance ranges from C_min to C_max.

The tuning circuit selects the frequency $f=\frac{2\pi }{\sqrt{LC}}$. To design this circuit for a given frequency, take $C=\sqrt{C_{\min }{C}_{\max }}$ and calculate the required inductance L from f and C. Now the circuit can be tuned to any frequency in the range $f_{\min }=\frac{2\pi }{\sqrt{L{C}_{\max }}}$ to $f_{\max }=\frac{2\pi }{\sqrt{L{C}_{\min }}}$.

Write a Java program to design a tuning circuit for a given frequency, using a variable capacitor with given values for C_min and C_max. (A typical input is f = 16.7 MHz, C_min = 14 pF, and C_max = 365 pF.) The program should read in f (in Hz), C_min and C_max (in F), and print the required inductance value and the range of frequencies to which the circuit can be tuned by varying the capacitance.