# What is the capacitance of the capacitor in the oscillatory circuit if the inductance of the coil is 0.1

What is the capacitance of the capacitor in the oscillatory circuit if the inductance of the coil is 0.1 and the resonant frequency is 50 Hz?

To calculate the value of the capacitance of the indicated circuit capacitor, we will use the formula: fр = 1 / (2 * Π * √ (C * L)), from where we express: C * L = 1 / (4 * Π ^ 2 * fр2) and C = 1 / (4 * Π ^ 2 * L * fр ^ 2).

Variables: L – coil inductance (L = 0.1 H); fр – resonant frequency of oscillations (fр = 50 Hz);

Calculation: C = 1 / (4 * Π ^ 2 * L * fр ^ 2) = 1 / (4 * 3.14 ^ 2 * 0.1 * 50 ^ 2) = 1 * 10 ^ -4 Ф = 100 μF …

Answer: The indicated circuit capacitor has a capacity of 100 μF. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.