What inductance should the coil be included in the oscillatory circuit, so that with a capacitor of 2.5 μF

What inductance should the coil be included in the oscillatory circuit, so that with a capacitor of 2.5 μF to obtain an oscillation frequency of 1.5 kHz?

Frequency of oscillations in the circuit:
n = 1 / (2 * Π * √(L * C)), where n is the oscillation frequency (n = 1.5 kHz = 1.5 * 10³ Hz), L is the inductance of the coil, C is the capacitance of the capacitor (C = 2.5 μF = 2.5 * 10 ^ -6 F).
Let us express and calculate the inductance of the coil:
n = 1 / (2 * Π *√ (L * C)).
sqrt (L * C) = 1 / (n * 2 * Π).
L = (1 / (n * 2 * Π)) ² / C = (1 / (1.5 * 10³ * 2 * 3.14)) ² / (2.5 * 10 ^ -6) = 0.0045 H = 4.5 mH.
Answer: It is necessary to turn on the coil with an inductance of 4.5 mH.



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