Determine the oscillation period, frequency, wavelength if the inductance of the coil is 100 mH

| September 17, 2021 | education

Determine the oscillation period, frequency, wavelength if the inductance of the coil is 100 mH, the electrical capacity is 50nf.

We calculate the frequency of wave oscillations through the Thompson formula:
υ = 1 / (2 * Π * sqrt (L * C)), where L is the inductance of the coil (L = 100 mH = 0.1 H), C is the electrical capacity of the coil (C = 50 nF = 50 * 10 ^ -9 F).
υ = 1 / (2 * Π * sqrt (L * C)) = 1 / (2 * 3.14 * sqrt (0.1 * 50 * 10 ^ -9)) = 2252 Hz.
Oscillation period:
T = 1 / υ = 1/2252 = 4.44 * 10 ^ -4 s.
Wavelengths:
λ = V * T, where V is the speed of the wave.
Electric current wave speed:
V = 1 / (sqrt (L * C)) = 1 / (sqrt (0.1 * 50 * 10 ^ -9)) = 14142 m / s.
λ = V * T = 14142 * 4.44 * 10 ^ -4 = 6.28 m.
Answer: υ = 2252 Hz, T = 4.44 * 10 ^ -4 s, λ = 6.28 m.



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