FCC Element 6 – Radiotelegraph Operator License (T) Practice Test

The resonant frequency of a tuned circuit, specifically an LC circuit (which includes an inductor and a capacitor), can be calculated using the formula:

\[ f = \frac{1}{2\pi\sqrt{LC}} \]

where \( f \) is the resonant frequency in hertz (Hz), \( L \) is the inductance in henries (H), and \( C \) is the capacitance in farads (F).

In this scenario, the capacitor’s value is given as 500 picofarads (pF), which can be converted to farads:

\[ 500 \, \text{pF} = 500 \times 10^{-12} \, \text{F} = 5 \times 10^{-10} \, \text{F} \]

The tuning coil (inductor) is given as 150 microhenries (µH), which can be converted to henries:

\[ 150 \, \text{µH} = 150 \times 10^{-6} \, \text{H} = 1.5 \times 10^{-4} \, \text{H} \]

Substituting these values into