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quiz1_2003_soln

# quiz1_2003_soln - Name SOLUTtouS Renssela er Polytechnic...

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Unformatted text preview: Name SOLUTtouS Renssela er Polytechnic Institute Department of Electrical, Computer and Systems Engineering ECSE-ZOSO Spring 2003 Quiz I Print your name on every page and show all work to ensure partial credit. Problem 1 (30 points) Problem 2 (20 points) Problem 3 (35 points) Problem 4 (15 points) Total ' Name SOLUT) 0M3 Problem 1: Consider the operational ampliﬁer circuit shown below. The input comes from an ideal current source. Miam- V\/\ 4., ‘4 4" No a) Assume that the op amp is ideal. Find ratio of the output voltage to the input current, vo/ii. N+= N”__=O b) Assume that the op amp is ideal except for finite gain, A. Determine the range of allowable values for A which results in less than 1% reduction in the magnitude of vo/ii. No" AiNT'MA = "AM. '4) N =‘NVA . '4 ‘ ‘N - '. NoskL—écl'w‘ - 7% aokc‘ Liar-717),“ : '20kcfc' Name SOL u N 0) Assume that the op amp is ideal except for an offset voltage, V0S= i8 mV. Determine the output error voltage due to V03. 90K W'l’ WU.» NOE : M- = N1? : VOS “mm M9. No! 4. l + 2;) Not: t EMV ¥V6\$ d) Assume that the op amp is ideal except for bias currents, 13 = 150nA and 10S = lOnA. Find the range of the output error voltage due to bias currents. — I51?) Ibg: iIVf'IPi 43: 20K :3 .1”: I‘lS’nﬁ) I? : IS'SnA at In IW. 153% ,IP: my“), > ,Ndé—v Cqmﬁou< NOE < Qs'snAioocq Jﬁmv < N45 < 3va e) Draw the diagram of a modiﬁed circuit which has the same relationship between V0 and ii but is insensitive to 13. 3‘6 \x W 5mm. L04 Welt/Mu. Mme; t) WWMGK "\$2M” aok‘ﬁ‘ ”WW .0 gotdL. I; t' No Name SOLUTIONS Problem 2: Consider the diode circuit drawn below. V In ~ IKJL. -—-9 SKIL- > V0 '1 Q 5““ to K .n. a) Assume that V = 15 V and that the diode is ideal. Determine the range of input current, I, for which the diode is on. Hint: use either breakpoint analysis or Thevenin equivalent circuits. WKIEW WA + [S'V lols _ SK Va = nok+§K (‘5) ' :ov V0 M X m (K jumbo-HI. IOK @V : lOV .- L“— — l2 =/.6'7MA " 6K ' 6" thw MM I ”67”“ l . ‘ 0Q W 53W m +5 lK Slg I 5“ 4" 4 log 5 VOC:—L§L<— \S _“ 10V Vac: (9K1 SKHOI‘ = 3.33k = metw‘lk zlokllS'l‘ “1 i 1“ 335K '29“ + I 6KI+ “W Dim “m“ M‘ Name 5;; 5 339533 b) Assume that I is set to make ID = 1 mA. Ifthe diode has n = 2 and VT = 25 mV and V =15 + 0.5sin100t draw the small signal model for the diode and circuit and determine the small signal compo- nent of V0. n VT 5 (l)()5mV) = """" = \$0.11- ﬁx ‘19 lmﬁ 5 aggwwwﬂbLWSm/mdww W SW 604' ID Skv + t J (6K+IK+SO)H mu. 0 ‘5“ ”a : (-H'SSIL A/O- war (oS'let) 7135+ 5L Name SdLu Tl OMS Problem 3: Consider the power supply circuit drawn below. Assume that the diodes produce a 0.7 V drop when forward biased. {Act/m so Hi a) Sketch the transformer secondary voltage, vs, ahd the output voltage, v0, on the axes below. Indicate important voltages (e.g. the peak values) and time values on your sketch. .3?!” v 'Jl‘). Name 56' b) Determine the fraction of the time that each diode conducts, i.e. (diode on time) / [(diode on time) + (diode off time)] Hint: the value is the same for all diodes in the circuit. NS , .1 1.15% mT(Sa)t J’- -l "V 3.9144me W NS:/.w zafv‘msom ’71.; z: 5:" MS c) Determine the value of the ﬁlter capacitor, C, needed to produce an output ripple voltage, V,, equal to 1 V peak-to—peak. Also, ﬁnd the average output voltage, V avg- ZL = i343— 5* Vr: (RC. (wo)€sa)c. E— Name SGLJUTIONS (1) With the capacitor of part (c) in place, ﬁnd the peak diode current, IDmap, the peak inverse voltage on each diode, PIV, and the maximum instantaneous power dissapated by each diode, Pmax. Hint: the values are the same for all diodes in the circuit. 10mm , IL. ( I + 37W Din/aw) ova—u IL’M : [3—9—338ZMA 5-0;), SO Ipmq=C3ngﬁXC (+3.11- \ll?.§7&) =[8A\ FAmWM9MM _ pt/ Vs"—I——7=3’;‘ 1=2o>v l: ° M-Clan 1) ' (8M1) _ e) Find the output ripple voltage if one of the diodes burns out, i.e. is an open circuit at all times. Assume that the capacitor of part (c) is in place. 'Tko. MM Law 0; bit wow-L Mich/wt VP l?»? ﬂ Vr: SORC. = \$Oj(ﬂ)(39‘°/") Name SULU I] 0513 - __ Problem 4: The diode circuit below has the following input waveform. —5 Assume that Vi = 0 for all time before t = 0 and that the waveform continues for all time. \kJL + ‘l’ D4 V v ' ° C D} De _ a) Plot Vo on the axes below for the case when the diodes are ideal. Label important voltages on your plot. Ideal Diode ' V \$0 w 4o Qtwcﬂto Judy: M / \l 0 »§ Name Sokungus _ b) Plot Vo on the axes below for the case when the constant voltage drop model with VD = 0.7 V is used for the diodes. Label important voltages on your plot. Constant Voltage Drop Model Judgem- </\1 c) Plot Vo on the axes below for the case when the piecewise linear model with VD0 = 0.65 and rD = 50 Q is used for the diodes. Label important voltages on your plot. Piecewise Linear Model Jorﬂu Wk 4/ V 5'— 3c“) 3 -——-"———" 1k 4- 366) V6: 3655) + IC5)(S¢) :- J. asn/ : 2.65m»! 10 ...
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