Analysis of Capacitor impedit et ESR frequency characteres

I. Introduction
Et frequency characteres in capacitor scriptor impedirent (| z |) et equivalent serie resistentia (ESR) sunt discrimine ad aestimandis eius perficientur in circuitu consilio, praecipue strepitu suppressionem et voltage stabilization. Hoc articulum systematice exponit hos characteres per comparet specimen et realem capacitors, sustinuit formulas et graphs.

II. Specimen Capacitor mores
An specimen Capacitor scriptor impedirentance est pure capacitive:

ubi ω est angularis frequency et Cis capacitance. Ut ostensum est in Figura I, | | Frequency inverso (Figura II), et ESR est nulla (non damna).

III. Verus Capacitor mores
Verus Capacitors Exhibit Parasitic Effectus (Figura III):

ESR: Per Dielectric damnum et electrode resistentia.
ESL: Parasitica inductance ex electrodes vel ducit.
Eorum frequency responsio sequitur a V -V (Figura IV):

Humilis frequentiam range (capacitive regionem) : | | = | I / ωc, ESR dominatur Differt Damnum.
Resonantia Point : |z |z | Minimum (| | = | ESR) definiens auto-resonant frequency.
Summus frequency range (inductive regionem) : | Ωl | ωR affectus cutis effectus.

IV. CAPACITOR Typus CAPACITOR
Nam capacitors 10μf (Figura V):

Aluminium electrolytic: High ESR ad altum frequentiis (debitum ad electrolyte resistentia).
Multilayer Ceramic: Optimum summus frequency perficientur humilitatem ESR.
Film Capacitors: Humilis esl, idealis pro summus frequency applications.

V. Conclusio
In summus frequency circuits, ESR et ESL debet esse diligenter considerari. Designers eligere capacitors fundatur in frequency requisita, ut Multilayer LATERAMEN ad decoupling et aluminium electrolytics ad humilis frequency filtering.