The oscillating circuit is tuned to receive waves with a length of 300 m.

The oscillating circuit is tuned to receive waves with a length of 300 m. Determine the inductance of the circuit if the capacitance of the capacitor is 100pF.

Data: λ – received wavelength (λ = 300 m); C is the capacitance of the capacitor (C = 100 pF = 10 ^ -10 F).
Const: υ is the speed of propagation of the received waves (υ = С = 3 * 10 ^ 8 m / s).
To find out the inductance of the indicated circuit, consider the equality: λ / υ = T = 2 * Π * √ (Lx * C), whence we express: Lx = λ2 / (C * υ2 * 4 * Π2).
Let us perform the calculation: Lx = λ2 / (C * υ2 * 4 * Π2) = 300 ^ 2 / (10 ^ -10 * (3 * 10 ^ 8) 2 * 4 * 3.142) ≈ 2.54 * 10 ^ -4 H …
Answer: The inductance of the circuit, according to the calculation, is 2.54 * 10 ^ -4 H.