In the circuit of an autogenerator of harmonic oscillations with inductive feedback, the oscillation frequency of the generator

In the circuit of an autogenerator of harmonic oscillations with inductive feedback, the oscillation frequency of the generator is 0.7 MHz. The capacitance of the loop capacitor is 100 nF. Determine the inductance of the loop.

Data: ν – oscillation frequency of the presented auto-generator (ν = 0.7 MHz or 7 * 10 ^ 5 Hz); C is the capacitance of the capacitor (C = 100 nF or 10 ^ -7 F).

To find out the inductance of the circuit in the oscillator circuit, consider the formula: ν = 1 / T = 1 / (2 * Π * √ (Lx * C)), from where we further express: Lx = 1 / (C * 2 ^ 2 * Π ^ 2 * ν ^ 2).

Let’s perform the calculation: Lx = 1 / (C * 2 ^ 2 * Π ^ 2 * ν ^ 2) = 1 / (10 ^ -7 * 2 ^ 2 * 3.142 * (7 * 10 ^ 5) ^ 2) ≈ 5, 17 * 10 ^ -7 G.

Answer: In the circuit of the presented auto-generator, the inductance of the circuit is 5.17 * 10 ^ -7 H.

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