The oscillating circuit consists of a 2 pF capacitor and a coil with an inductance of 0.5 μH.

The oscillating circuit consists of a 2 pF capacitor and a coil with an inductance of 0.5 μH. Determine the vibration frequency in the circuit

Initial data: C (capacitance of the capacitor in the oscillatory circuit) = 2 pkF = 2 * 10 ^ -12 F; L (coil inductance) = 0.5 μH = 0.5 * 10 ^ -6 H.

1) Using the Thompson formula, we calculate the oscillation period in the circuit: T = 2 * Π * √ (L * C) = 2 * 3.14 * √ (0.5 * 10 ^ -6 * 2 * 10 ^ -12) = 6 , 28 * 10 ^ -9 p.

2) Determine the frequency of oscillations in the circuit: ν = 1 / T = 1 / (6.28 * 10 ^ -9) = 159 * 10 ^ 6 Hz = 159 MHz.

Answer: The oscillation frequency in the circuit is 159 MHz.