The oscillating circuit consists of a capacitor with a capacity of 5nFi and an inductor of 2μH.

The oscillating circuit consists of a capacitor with a capacity of 5nFi and an inductor of 2μH. At what wavelength can the circuit be installed?

The wavelength at which the contour can be placed (we assume that the wave propagates in the air):

λ = V * T, where V is the speed of wave propagation in air (V = 3 * 10 ^ 8 m / s), T is the oscillation period (according to Thompson’s formula: T = 2 * Π * √ (L * C), where L – inductance (L = 2 μH = 2 * 10 ^ -6 H), C – electrical capacity (C = 5 nkF = 5 * 10 ^ -9 F)).

λ = V * 2 * Π * √ (L * C) = 3 * 10 ^ 8 * 2 * 3.14 * √ (2 * 10 ^ -6 * 5 * 10 ^ -9) = 188.4 m.

Answer: A given contour can be set at a wavelength of 188.4 m.