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Physics · 术语表

什么是 Pseudo-periodic and aperiodic regimes？

又称： pseudo-period electrical

Definition 31.8 High School Physics · 第 31 章 — Free Electrical Oscillations: RLC

In a series RLC circuit the resistor dissipates energy by Joule heating (Chapter 12): the free oscillations are damped. Two regimes, read off an oscilloscope:

pseudo-periodic (small $R$ ): the circuit still oscillates inside a shrinking envelope, with a repeat time — the pseudo-period — close to $T_0 = 2\pi\sqrt{LC}$ when the damping is light;
aperiodic (large $R$ ): the charge creeps back to zero without ever overshooting — no oscillation at all.

The exact mirror of the damped mechanical oscillator (Definition 28.12).

The two fates of a real RLC circuit: oscillations dying inside an exponential envelope (dashed), or a creep to zero with no oscillation. Lightly damped, the pseudo-period stays T_0. — The two fates of a real RLC circuit: oscillations dying inside an exponential envelope (dashed), or a creep to zero with no oscillation. Lightly damped, the pseudo-period stays $\approx T_0$ .

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