In order to receive radio signals an antenna must be used. However, since the antenna will pick up thousands of radio signals at a time, a radio tuner is necessary to tune in to a particular frequency (or frequency range).[1] This is typically done via a resonator – in its simplest form, a circuit with a capacitor and an inductor forming a tuned circuit. The resonator amplifies oscillations within a particular frequency band, while reducing oscillations at other frequencies outside the band. Often the inductor or the capacitor of the tuned circuit is adjustable allowing the user to change the frequencies at which it resonates.[2] The resonant frequency of a tuned circuit is given by the formula
f_0 = \frac{1}{2 \pi \sqrt{LC}}
where f0 is the frequency in hertz, L is inductance in henries, and C is capacitance in farads.
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