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Unformatted text preview: Name SOLUTtouS Renssela er Polytechnic Institute
Department of Electrical, Computer and Systems Engineering ECSEZOSO 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
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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‘ Liar717),“ : '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
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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
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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.
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Consider the diode circuit drawn below. V
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'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
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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
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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 peakto—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 50;), SO Ipmq=C3ngﬁXC (+3.11 \ll?.§7&) =[8A\ FAmWM9MM _
pt/ Vs"—I——7=3’;‘ 1=2o>v
l: ° MClan 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 wowL 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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