# Chapter 6 - L inductance Unit henry(H Li N = φ Circuit...

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Chapter 6 Capacitors and Inductors

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Capacitors A typical capacitor A capacitor consists of two conducting plates separated by an insulator (or dielectric). Cv q = C: capacitance Unit: farad(F)
Values: picofarad (pF) -- microfarad (mF) Polyester Mica Electrolytic Ceramic Types: fixed variable Circuit symbols for capacitors a) fixed capacitor b) variable capacitor

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VAR of Capacitor dt dv C i then Cv q and dt dq i as = = = Positive sign convention + = t t t v d i C t v 0 ) ( ) ( 1 ) ( 0 ξ A capacitor is an open circuit to dc The voltage on the capacitor cannot change abruptly (in condition that i is limited)
Stored Energy in Capacitor 2 ) ( 2 1 ) ( t Cv t w = Is capacitor active? N eq C C C C C + + + + = ... 3 2 1 equivalent circuit for the parallel capacitors

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Equivalent circuit for the series capacitors N eq C C C C 1 ... 1 1 1 2 1 + + + =
Inductors An inductor consists of a coil of conducting wire. Typical form of an inductor

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Unformatted text preview: L: inductance Unit: henry (H) Li N = φ Circuit symbols for inductors Values: microhenrys( μ H)--- tens of henrys(H) Types: Fixed variable Iron, steel Plastic, air VAR of Inductor dt t di L t v ) ( ) ( = What happens when the current is constant? Integrating form: ) ( ) ( 1 ∫ + = t t t i d v L i ξ An inductor acts like a short circuit to dc. The current through an inductor cannot change abruptly (in condition that v is limited). Stored Energy in Inductor 2 ) ( 2 1 ) ( t Li t w = Is inductor active? Equivalent circuit for the series inductors N eq L L L L L + + + + = ... 3 2 1 Equivalent circuit for the parallel inductors N eq L L L L 1 ... 1 1 1 2 1 + + + =...
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## This note was uploaded on 04/06/2010 for the course EE 102 taught by Professor Pingli during the Fall '08 term at Shanghai Jiao Tong University.

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Chapter 6 - L inductance Unit henry(H Li N = φ Circuit...

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