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by: Matt Salway

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20

# 110 Review and Capacitors EET 200

Matt Salway
ODU
Electrical Circuits II
Popescu

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EET 110 summed up and the Capacitors chapter. Great review for the test upcoming.
COURSE
Electrical Circuits II
PROF.
Popescu
TYPE
Study Guide
PAGES
20
WORDS
CONCEPTS
review, Capacitors, formulas, Thevenin, Norton, Charge, Discharge, electric field
KARMA
50 ?

## Popular in Electrical Engineering

This 20 page Study Guide was uploaded by Matt Salway on Sunday September 20, 2015. The Study Guide belongs to EET 200 at Old Dominion University taught by Popescu in Fall 2015. Since its upload, it has received 83 views. For similar materials see Electrical Circuits II in Electrical Engineering at Old Dominion University.

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Date Created: 09/20/15
79Z W5l 1 Q 5272 27 39039 Q 4 1 39 39 2 3h L 5 f f A lt1 2Ln7lt 9191 Jv 7 m7 top 42 lt W C37 3 has GP P919AIIGP 19M d paqxosqe xamod 1A 1 T L 73 m uonuaAuoa Jamod Thevenin s Theorem Thevenin s Theorem all effects of any LINEAR circuit external to two reference terminals can be completely predicted from a model consisting of a single ideal voltage source in series with a single resistor I 2 ES V b g 3 O Req lt Ti evem n s erogedme only independent sources in the circuit 39 Determine de opencircuit voltage Vocacross the two reference terminals Vt VOC Deenergize all internal sources and determine the equivalent resistance as viewed from the two reference terminals Req Moire to deenergize independent sources replace all ideal independent voltage sources by short circuits replace all ideal independent current sources by open circuits TRANSIENTS IN CAPACITIVE NETWORKS THE CHARGING PHASE The factor t called the time constant of the network has the units of time as shown below using some of the basic equations introduced earlier in this text 2 on H ygg gwm w39 gw g 3 gsi 98 m a 352 ZBJ3U33 ul ram ma OH 2061 131 alna Japwg aBelloA CAPACITORS IN SERIES AND IN PARALLEL N Jle 423 l39 IK IY T V1 V2 V3 Q1 4quot 39 lt V 2 WE 7 E J IIII 39L I uni FIG 1067 Parallel capacitors FIG 1055 Series capacitors 576 Ila Cgi CZC 1Zl T it CT Ci CAPACITANCE The relationship connecting the applied voltage the charge on the plates and the capacitance level is defined by the following eqUation C farads F Q coulombs C V 7 volts V lt1 l 39 K i r THE CAPACITIVE CURRENT iC There is a very special relationship between the current of a capacitor and the voltage across it For the resistor it is defined by Ohm s law iR vRR The current through and the voltage across the resistor are related by a constant R a very simple direct linear relationship For the capacitor it is the more complex relationship defined by dvc Capacitive current is proportional to the rate of change of the voltage across the capacitor 4 of l 39 7 J t 4 L a a w it Cf 061 C rCZ l C4 1 SDBIBJ 111 p 5111 V quotwd uAgiuuum 3 Cd SPWBJ D uonannsuq JOlpEdEj SHOLDVdVD FORMULA SHEET Charging phase Discharging phase tRC t t vCt E1 e7 vct Ee E E E iCt Eett 6 Ee tt v vRt Ee39m vRt E84 j 2 39asoqd bullwan aql buynp 3A an 399 H 39 1 9mm mum P I 1 SQr I 9912913111 pgdtz3 3 U 939121ng 119mg r A 7 39 n3 Y EISVHd 9NEDHVHD 3HL 3SgtIHOVJ39N HAILDVdVD NI SiNEHSNVHJ Current Divider Rule is R1 R 10 t RO1R1 L5 0 e 3 3 Ti 1 Wig Wlth Tm WTm 153 3 53 y quot55quot R 332 R32 In general m 50 GoGlmGn Or i0t is QN qwomoosuomau DNi il IIBUBJIS PI9J amoela 3 sqwomoaj C9319 JI UHX nLI Illjf Mgsueq xn G39IEIlzl DIELLDEI IEI EIHL ENERGY STORED BY A CAPACITOR An ideal capacitor does not dissipate any of the energy supplied to it It stores the energy in the form of an electric field between the conducting surfaces A plot of the voltage current and power to a capacitor during the charging phase is shown in Fig 1075 The power curve can be obtained by finding the product of the voltage and current at selected instants of time and connecting the points obtained The energy stored is represented by the shaded area under the power curve Power pdt vc t ict W Energy WC prtdt U 1 1Q2 2 wczcvc 26 Equivalent resistance 0 Resistors in series R2 u v For the special case of two resistors in parallel R RequgaiMR2 9 m 3 m wWWmms 313132 m 5 W a xg INITIAL CONDITIONS Universal equation for the transient response of a capacitor eq 1021 W t W GulfA COM41w m aim Ig 39 vCt quotquot Vf tI 1 4 Va 5 Vi quot Va V53 5 CI It can be used for both charging and discharging phase CI When used for discharging make Vf 0V such that vct Vie UT Kirchhoff s Current Law Kirchhoff s current Law KCL algebraic sum of the currents at a node is zero 24 5 m 0 ML i2 t N I K 5 quot 1 Ifquot I N N 1 l t e Mm 3 I3 39wlw mw Mom M 1 mwwm 39 Nun 1 MMNV quotI l r M l r N x 1 Jquot 1 J 1 i1ti2t 1305 i4t i5t 0 Kirchhoff s Voltage Law Kirchhoff s voltage law KVL algebraic sum of the voltages around a closed W loop IS zero gg m m 0 171 t 2 t 173 t U1t 1720 1730 V4t 1250 0 Norton s Theorem Norton39s Theorem all effects of any LINEAR circuit external to two reference terminals can be completely predicted from a model consisting of a single ideal current source in parallel with a single resistor g M A I quotf1533 gt morienis firmware only independent sources in the circuit Assume a short circuit between the reference terminals Determine 56 the current that would flow through the short in isc Deenergize all internal sources and determine the equivalent resistance as viewed from the two reference terminals Req Jo 2121 14 Power and Energy 3 z Power rate of change of energy yaw m i 2 3 if units 1 watt W 1 joule of work performed in lsecond Energy total work Wm m 32 M units 1 joule J or 1 kWh kilowatthour b kWh number ofjoules quotum er of 3600 1000 3 Z Resistive Power mi N quotifFifi 5amp3 m ma 3 WE

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