Radio Receiver. A simplified version of the front end of an AM radio receiver is shown in Figure 2.13. This receiver consists of an $R L C$ tuned circuit containing a resistor, capacitor, and an inductor connected in series. The RLC circuit is connected to an external antenna and ground as shown in the figure.
The tuned circuit allows the radio to select a specific station out of all the stations transmitting on the AM band. At the resonant frequency of the circuit, essentially all of the signal $V_{0}$ appearing at the antenna appears across the resistor, which represents the rest of the radio. In other words, the radio receives its strongest signal at the resonant frequency. The resonant frequency of the LC circuit is given by the equation
$$
f_{0}=\frac{1}{2 \pi \sqrt{L C}}
$$
where $L$ is inductance in henrys (H) and $C$ is capacitance in farads (F). Write a program that calculates the resonant frequency of this radio set given specific values of $L$ and $C$. Test your program by calculating the frequency of the radio when $L=0.1 \mathrm{mH}$ and $C=0.25 \mathrm{nF}$.