Lecture Notes 9_Reactive

1 the energy stored in a capacitor is 2 cv 2 and

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Unformatted text preview: tors: 9 – 11 / 12 Power and Energy 9: Capacitors and Inductors • Capacitors • Types of Capacitor • Inductors • Passive Components • Series and Parallel Inductors • Series and Parallel Capacitors • Current/Voltage Continuity • Average Current/Voltage • Buck Converter • Power and Energy • Summary Electrical power absorbed by any component at the instant t is v (t) × i(t). t2 So total energy absorbed between times t1 and t2 is W = t=t vi dt. 1 For a capacitor i = C dv , so dt W =C =C t2 t=t1 v dv dt= C dt 1 2 v (t2 ) v v(t1 ) = 1 C 2 2 v (t2 ) v =v (t1 ) vdv v 2 ( t2 ) − v 2 ( t1 ) If v (t1 ) = v (t2 ) then there has been no nett energy absorbed: all the energy absorbed when the voltage rises is returned to the circuit when it falls. 1 The energy stored in a capacitor is 2 Cv 2 E1.1 Analysis of Circuits (2013-3717) Capacitors and Inductors: 9 – 11 / 12 Power and Energy 9: Capacitors and Inductors • Capacitors • Types of Capacitor • Inductors • Passive Components • Series and Parallel Inductors • Series and Parallel Capacitors • Current/Voltage Continuity • Average Current/Voltage • Buck Converter • Power and Energy • Summary Electrical power absorbed by any component at the instant t is v (t) × i(t). t2 So total energy absorbed betwee...
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This document was uploaded on 02/20/2014 for the course EE 101 at WVU.

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