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ee2011c03hwk5sol

# ee2011c03hwk5sol - EE2011 HOMEWORK 5(”303 This aSsignment...

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Unformatted text preview: EE2011 HOMEWORK # 5 (”303 This aSsignment is due Monday February 24 — You most hand in this homework during class and not after! Problem 1 4 Complex algebra Use your calculator to ﬁnd the rectangular complex representation for each of the following polar form quantities. ,. b ’61) ___ , - (,é 0L) 4&9": 2+J‘3.4g4 TC) 6E’ Q '45 We 3+Jg g) a ﬂ0°:[-7324"J 338&39 \$9 1‘J5 69V“ €84r= "& c) 9m": 5 1Aéle=3+J5l016m)Z€"/uy[Why/HZ} a) w e°=—~IO c)2A;E= ‘21 m géﬂ": - E; c) loge)": «JO 3) rﬂs=é4é7u2 (it) 33:53": é @314 f’roblem 2 4 Complex algebra Use your cal‘culatOI' to ﬁnd the polar repreSentatiOn for each of the following rectangular complex quantities. Express your answer in polar form with angle in degrees, for example: iii-30°. *3 m 4+;g : 7,1! 456.3\ C) 59+(125‘355; @311? all g-ZJ': 8.1364“ [11.04) 6) 7 = 740” F) ,0 +310 214,14L45" a> low-[o ~. 14:41:45“ Ia) -:o+j/o= 14,141,550 /4./4L~|35” 0 ISA/30 53-10'510 2 0') ex; -- Problem 3 — Complex algebra Find the value of each of the following cemplex quantities. Express your ﬁnal an'swer each time in polar form, for example: 3130'? (aw é+jé -=__ [Lafoo e~1é (b) guru/02:19: H.17L-—\8w43° (CB 2011£0~1011§1 = 32...38/_\$8.750 @\ 613k+wi=-74%° e) («LWXHZJ») = 42-»424010” Problem 4 1— Pha’SOr N otati‘On Convert any of the waveforms b‘eIOW into phasor notation (noting the radian frequency, w in each case, and any phasors back into time waveforms, using the given «1. (a) lawS‘CLOt‘PTF/ﬂ E) [Uzmlf 60:20 (63 53D) (10% +329) a 51-60" w 3 ‘ O 7:wa (10151925400) ‘3 o (C) 8093(30'1: ~3o°)——=2 31:29 a}; 36) (A) 9w3(2w-10t+60°)—3 GE Us. 207‘— ( \ 10:18:00 ~10 9 20.74: +l5’O° a“ wa 2011” CE") 00 or zoLQa 6M. lSLEf, u=JX oé> LSM6(h&t+EOU (35 [OLE/.3.) (4)130 ——e )OCOSC._§ot+ge) 05 \SLQZ) ;f=#aee ~«a .ECOS(8OTFt> CM [01-5100 10: 60 H2- ‘9' IO (05(12077fv4o) : / 5U Q) géz‘W/é ) Ct) 7’ 301T ﬁ2 3!; "35(3077’t ’50) Problem 5 — Solving AC circuits Solve for the unknowns shown in each of the followmg ci'rcirits. In eaéh céée there are two parfé to the answer: The phasor answer and the time waveform that the phasor represents. SHOW BOTH. (GD 22 = exM 4‘1344 I L g ml aH VL : \$14403“? iR (Q :’ Bﬂl} CqSCIO‘t—f-Cfg'440) / L': ZOCO ID£+EOD 5( > V; (4:) :1 8q_4 (05(Iot‘i'q3.44o> b D C) m ic Ic= \.éé7mg.m «r J, x ‘ DUFF VIZ = 5.33 L336” ice): 1.667 €05(3ot+93.€‘?°) 4ft [DC/OS (30%.4‘6003 %(t\: 3.53 (05(5et+013_é‘i°> I = 3.794 14:5? VL : 14.82.. 1.86. 57° éahﬁ) ~‘—’ 3.794 cos(5td 4).57°) ”ULH) :- ZG.8Z_ CosCSt +gg-57°) y Problem 6 — Solving for Transfer functions Solve fOr the transfer function for each of the following two port netiivorks. That is, ﬁnd H (to) such that the input and Output rOltag'e pliaéoré are related by V01”; = H (ml/En. Leave H (w) in the form of a ratio of rectangular form polynomials in the variable w. 2;“, +l0 ~ 2042‘“ 3 (Q3 I K g15%b+3§535ﬂ~*7dc>"il~j7oﬂ \© QOC—Asbié : \\.\7;:\%¢11’§ 2 <1 <3“;ng : 1L%8458.7§ CL‘T/Lﬁj 54: Ar) \7 - “713105 k 2 c: (<35 ( mi "V 13C); 5 3L AWL 3w \_ JL 2. 35.11.. '2_ lg: 3‘5 . ZOLBO 135"?"193 ‘3 1:va 20 L 2L1) \\' \% L Lcwgg‘” ”m , mm '—;} \ 715:2 ’ 1?..(J‘3'T' %‘°\L\ ngch "’YC\%‘L\L\\ 3L1 \C) QC: Lgt‘; I --_ 100 Lg?) x5 ’X—HD \‘.*\ fé 1.205%. ALLA.— _\‘§\C) 52.. : 10 ~ 1o4 “saw; :‘ \oocf +{QOG \04 \QA “Ir-[0; Lac"; mfwkmg 26.12“ )M-CSv-sg‘) 2:“; : 13+ 9] :. f-B-Té))l_ {3’113 : go Lee? :\3-f7% [4111570 ‘ = 5791) 1:100 ”0265) : S790 ca? (100%: #900) ...
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ee2011c03hwk5sol - EE2011 HOMEWORK 5(”303 This aSsignment...

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