What inductance must be included in the oscillatory circuit in order to obtain oscillations
| July 15, 2021 | education
What inductance must be included in the oscillatory circuit in order to obtain oscillations with a period of 10 ms with an electrical capacity of 2 μF?
We find the inductance of the coil in the oscillatory circuit from the Thompson formula:
T = 2 * Π * √ (L * C), where T is the oscillation period (T = 10 ms = 10 * 10 ^ -3 s), L is the sought inductance of the coil, C is the capacitance of the capacitor in the circuit (C = 2 μF = 2 * 10 ^ -6 F).
Let us express from the formula and calculate the inductance:
T / 2Π = √ (L * C).
L * C = T2 / 4Π ^ 2.
L = T2 / (C * 4Π ^ 2) = (10 * 10 ^ -3) ^ 2 / (2 * 10 ^ -6 * 4 * 3.14 ^ 2) = 1.27 H.
Answer: A coil with an inductance of 1.27 H must be included in the oscillatory circuit.
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