EE 220 Chapter 1 Examples

EE 220 Chapter 1 Examples - P1.2-1 The total charge that...

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Unformatted text preview: @ P1.2-1 The total charge that has entered a circuit element is EE-220 CIRCUITS-I Chagter #1— Examgles qlil=4(l-e‘5') whentzflandq(t)=0whenr<0. Determine ‘7 "w_____fi_ __ _ _q____ Wat” _ fl ___ _ _ the current in this circuit element for :2 0. Answer: 1'0) = 202*“ A Cat-£3 -: M )-—- 6‘31); P 1.2-6 An electroplating bath, as shown in Figure P 1—.2—6, ~ :7 — fl —k _ _u # — _ '“fils’Tfige to plate silver uniformly onto objects such as kitchen 4. :2 Q; A~ u“ _ _ ware and plates. A current of 600 A flows for 20 minutes, and 2 each coulomb transports 1.118 mg of silver. What is the weight : l of silver deposited in grams? "*" "" :1 :3; :1??? 61/4S Object to be plated FIGUREP 1.2-6 Anelectmplating bath. .. _ . ....__,_M . ‘ mm. 419-- 291er (la - ~ ____., ,, _ _. .,_v,..i.__w. ., Wm. __,,,;.(u.l__ nglbfgwn. ___. c ; fi @ r 7 P154 An automobile battery is charged with a constant eur— ' - . ._ . _ .__-. fifi A for five hours. The terminal voltage of the battery is v=11 + 0.5rV fort > 0, where r is in hours. (3) Find the energy delivered to the battery during the five hours. (b) If electric en- ergy costs 10 cents/kWh, find the cost of charging the battery for five hours. Answer: (13) 1.23 cents 1:29;. _ mi: beéxeo :Sfitfiéfib é. Dr: H +0agt r jlmr 75-70 , .. “0x . gee; " )2 “It ~ ' ins-mg. U ee- e WW W 3 past :3 Wtfil’t IJQVL 'Ht' 241? .1 D b sew D o s... r- - e 2 $233;er _:— (22%: 4— J: j .. .V. _ .,_ ‘J . D .. .. :vemoé: : 41% KT”. P 1.5-5 Find the power, p(!), supplied by the element shown ' ' 33—3—- . . -7~ sin 3t in Figure P 1.5—5 when v(!) = 4 cos 31V and 1'0): 12 A. Evaluate p(t) at t=0.SS and also at r: 1 9. Observe that the power supplied by this element has a positive value at some times and a negative value at other times. l . . _ Hint: (sin at}(cos bt) = —(sin(n -t- b)! + sm(a — b)t) FIGURE P 1'5 5 3 An element. Answer: pm = .16. sin 6: w, 13(05): 0.0235 W, pm = —D.0466W " :— 2 ” 'ile;_,&i§52s.£f_;§% - o _W,__ , --J g - fiancee,ng —-r:m Cgi+3tjfl if — _' fl "81—3—2555? _ W ‘ _ P 1 .5-8 _ The battery of a flashlight develops 3 V, and the cur— rent through the bulb is 200 mA. What power is absorbed by the bulb? Find the energy absorbed by the bulb in a five-minute period. ‘ "Ml? . flue, _'._§_‘r?l€é_.lkbll 4‘9 .2: w: .m Lbbxgxéo _ 1“ A N l85$_ "‘ Section 1.7 How Can We Check. . .? g DEX *# n P 1.7-1 Conservation of energy requires that the sum of the I ‘ I“Ill-ol-iver absorbed by all of the elements in a circuit be zero. Figure mp5 ‘ V P 1.7—l shows a circuit. All of the element voltages and currents are specified. Are these voltage and currents correct? Justify your (63W (:10; A a I 7 answer. . a! t; l E? Hint: Calculate the power absorbed by each element. Add up ._ g i \ 3 all of these powers. If the sum is zero, conservation of energy ‘ is satisfied and the voltages and currents are probably correct. If . the sum is not zero, the element voltages and currents cannot be u m _ correct. ‘ A DDWW P ;: Cozy 2,) + (gxglfilxry' +L§xy HBBQ . ( _ L : —Ai>+g«—.2.o+)e Jr) 7 nouns P 1.7-1 ginoz “ll/era Ago-m is. r O Whi‘blb 5: “795-? Cw? Mrrfim". .Me Lea/reci ' - A ' “ ' ' ' r ' 'l .S'f 'sth ostim- ® «2'11 1 particularcucurtelementis availableinthreegrades. Spcc1fy the grade of this e ement a ety 1 e m Grade A guarantees that the element can safely absorb U2 W portant consideration, but don’t specify an element that is more continuously. Similarly, Grade B guarantees that 1/4W can be expensive than necessary. absorbed safely and Grade C guarantees that 1/8 W can be ab- sorbed safety. As a rule, elements that can safely absorb more 7 power are also more expensive and bulkier. I ——--:-'-‘:> The Voltage across an element is expected to be about 20V ' and the current in the element is expected to be about BmA. Both estimates are accurate to within 25 percent. The voltage g . _.5 —— W and current reference adhere to the passive convention. __ is? _ C k—4-> V 3‘— 21? V. .3; 1 EA”; 3/1) ,. Maximum: wattage. 1510 x 1.2.: : c233 l/ __.__ l- Maximum torrent :— ooogxm: .: 0:01 A -_- Sc “lluz :: 523x05]? . Somalng m m. I/l w it. tee, salt/«21L; M 95%ng @ _ h .@__L;-t_;_._mfi2m_fix.g wme .m‘mr ; ,m.ima;P__ momma!) ___ @ ,, _ @ The manch of a 6 V dry-cell flashlight battery Assume the drop in voltage is linear with time. How says that the battery will deliver 15 mA for 6D much energy does the battery deliwariu this 60 hinterval‘? confinuoua hours. During that time the voltage will drop from 6Vto4V. \ 'JC 7 PLO): é;><2smf3.:4—_spmzs‘3w Jc: éfl/‘Yéfifiéb‘: QJEflUDB/i '7 lJéDJ‘ZX—‘I mum) :'_i::;<_):x')6’_3: épxip"3w D ' ' ‘ i - . .J. ,_, 3 " ' All). A 0 gym-“g -- ‘ @J-EMDJKQ 2-: .152. m xi, w. ...
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This note was uploaded on 09/19/2009 for the course EE 220 taught by Professor Rawat during the Spring '09 term at Nevada.

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EE 220 Chapter 1 Examples - P1.2-1 The total charge that...

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