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Q1 - Jan 22.20143 Name its a 1 can 3 BE-NG ISEB Quiz I...

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Unformatted text preview: Jan 22.20143 Name; its a +1 can 3 BE-NG ISEB: Quiz I - This-exam is closed beak. elesed mate. you may. use a ealeulalnr fur algebra, ' Cirele .yeur final answers in the space presided; shew your wnrk enly en the pages-presided. - De net altaeh separate sheets [fyeu need more space, use me back of the pages; - l’eints fer eaeh prehlem are given in [machete]. Ifl'll neints total. The exam is 50 minutes long. l} The figure en the left helew shenfsa retatienal’pe'tentiem'eter, with .a physicalturning range nf Bill)". The resistance R); is a linear fnnetion nf the relatien angle El as shown; This is a 6130 fl'petentiemeter, i.e. the maximum value et' R}: is sees-1. L__._QB a) Derive a relationship for the resistanee Rs: in tenns ef the retatienal angle fer the petentiemeter. [1t] pts] 1. - 9 AF: .5 Thaw/1; *M'flen E13]. R: {MGR Whga 'Ell ragga-a fill—ax: 1:: / finalehn-‘l‘r e hunch-hen a; G3 Jingle Harte; glam Dal we % magi-l Rfim Elna—g h} Fer the veltage dividef'shewn en the right, sesame the pe‘tentiemeter prnvi'des the variable resistanee Ra as shewn. Sketeh the veltage between paints A—B asa funetien ef El. [1 5 pts] fiel'l‘qfie diqldsr' Efifi \J ran-'1 lllm' infill-'2.“ Fl: 'rhfir‘t'l"; Wt-I‘I"rr'i‘I""'1I _ E flea - r1- e; afi'nrr -?"Ih£",:| J. "‘5' , _ . Mina-fin lama Ringgit-1" 'H'J 1e- : - *9. 2+E‘Wfi"fil Ia ' 1""1'33: \ gel-a. 'll KEG a In!“ 1 e m ‘1‘ tel-t tau. "WQD'E‘ 2) Fifid tht T'hevenin equivalent between paints EFL-B; [25 pts| \Lq -. Labs-in +, “if; 'ficQL. ca ‘4. .' \J,-H DJ“ n.1,; : D =3 \Jrq um- gala!“ Ly 1 1-1 —-'.- —-'-—E:.r.7 T fiqma ”x5. whales, “ELIE: 9] '. «A "“- . Li I A \Jlfiq \r1—L'k‘1fi \Jl_2 .4. "IE- ___‘:C.‘- L19 Ll H: 1 H. 9 9;, U,-u,+2U1-aI&+KJr—17‘3 33 29.1mm \Jfi—L Eff—'Hlfi VHF-35L ha, “‘3.” Win FI~ r‘phfl'y4q Mi *LI +39~L1.+'5'~.*’21r‘jtlh+LIn» 311:” Kfi'ZA 1. w‘v‘. [limit V56 : q1H+E‘LI_fi “EILfi Hum) 3} A temperature sensor is made witha thermistor with a itsistance-temperatum of all = K ELT. with flR heingt-hechange in resistance in Ohms, $1" is the change in temperature in degrees Celsius, and K is the temperature coefficient of i‘esistanee,.with a value of -5 flr'ifl. Note that the negative temperature coefficient means that'a's tempe'raturegoes up, the resistance goes clown. I-._ )1!- Assume the following circuit uses the thermistor to make the temperature sensor: $3153.: 2000. E. a} If the resistance of tlre'thermistor is lflflfl £1 at 23 5C} how'mttch does Vout change by ifflie temperature goes up From 23 ”C to 33 “Cl? [13 pts] th er'mis'tor . Vout bK=-54T f—‘IT23'e-zgsigse =3 all: ”3(1‘3) —_ r1551 ham-rm“: IGQEEI Rm3fln= i¢=n~WS=¢rZ$i 75cm ”1., Merl! '1 “3“” clown Lassa} V :5”qu d'tmeie r~ '. Iii-T‘- .qsen ., “ins-3J1 gun-FD. "i “Jae-R?“ \is :- ssw west-L 1* 13) Give a value for the average sensitis-‘ity oFthe temporature sensor betWeon 23 QC to ES'DC‘? [S'prs] a: ~ .- h Esourvo‘i‘ .itatau Jen‘ifimmhfi - '—::————— 2. e ‘ m1 my”: i-lln1 . fisca?~..rr ‘65”? 5 us an Qvfiroa‘fl Lou er "Fl"? ‘3" (“fl-fie. 4} A strain gauge is ttssd in a” Wheatstpne' bridge as shnwn hean as a ttniaxial stress tt'attsdueet'. When a ‘tensile stress ”is applied to the gangs, the putput It'pltage Wentl'wil] change- Assume the'stzraitt gauge has s resistance value Rt; with nominal resistance et‘ IUD fl. and a gauge Faeter elf-2.0. The ether. 3 arms are fixed lUtJ £2 resistors. a} Give a relatienship for Vent in terms the strain l'ed l . . . app. 5 fess gauge reststanee Kg; [10 ptsj rains? in: demure. (tarts-«eta. shah £5.qu Cunh'nnjaralriun. ‘3 by Find Kg; {Fa strain «of 1x1 CI“5 is applied to the strain gauge [fl pts] fifl/E=GE_ Cf-EI {guru-5'5? G'Efia‘yta's . -3 e; lac: lac: as test”5 TE : Est-e: HMO-Q :— Iain. c) It" the strain gauge Substrate has a Young’s modulus of tflflKPa. and the gauge defenns with the substrate. find 1s'ent for an applied stresspf'fifl NIH-2. = Eat-15': Ea? +13? VT 3 ’52: III 5‘ fill G ._ r'— I inc-s ‘ : '9 f3: (fis‘e'intxtq'g 3" f“: '2‘ :t‘fth day +' m, 2‘. ,3" less-:3. 'Iqufill I ll‘ 5-“! '" h — —4..2 :30” Q \Jflgr _\~‘IIDI‘_—‘ I. L Eu E 5 - Z ...
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