Physics · Glossary

What is Quasi-steady regime (ARQS)?

Definition 6.3 University Physics — Year 1 · Chapter 6 — DC Circuits: Kirchhoff’s Laws and Theorems

A circuit of size \ell driven at frequency ff is in the quasi-steady regime when the propagation time /c\ell/c of electrical signals along it is negligible against the period 1/f1/f: c/f\ell \ll c/f. The current is then the same at every point of an unbranched wire at each instant, and the laws below apply at each instant to time-varying currents and voltages (lowercase ii, uu) exactly as to steady ones (II, UU).

Examples

Example 6.4 (How quasi is quasi)

At 50Hz50\,\mathrm{Hz}, c/f=6000kmc/f = 6000\,\mathrm{km}: a house is in the quasi-steady regime. At 1MHz1\,\mathrm{MHz}, 300m300\,\mathrm{m}: a radio still is. At 2GHz2\,\mathrm{GHz}, 15cm15\,\mathrm{cm}: a phone’s circuit board is not, and its tracks must be treated as transmission lines — a topic of the Year 2 volume.

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