The oscillation frequency of the oscillating circuit is 1600 Hz. Coil inductance 0.08 H. What is the capacitance of the capacitor?

To find the capacitance of the capacitor used in a given oscillatory circuit, we use the formula: ν = 1 / (2 * Π * √ (L * C)), whence we express: L * C = 1 / (ν ^ 2 * 2 * Π) and С = 1 / (L * ν ^ 2 * 4 * Π ^ 2).

Variables: L – inductance of the used coil (L = 0.08 H); ν is the frequency of oscillations of a given oscillatory circuit (ν = 1600 Hz).

Calculation: С = 1 / (L * ν ^ 2 * 4 * Π ^ 2) = 1 / (0.08 * 1600 ^ 2 * 4 * 3.14 ^ 2) = 1.238 * 10 ^ -7 Ф = 123, 8 nF.

Answer: The capacitor used is 123.8 nF.