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

August 31, 2021 | education

| **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.

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