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Unformatted text preview: Name: SOLUTWOM Rensselaer Polytechnic Institute Department of Electrical, Computer and Systems Engineering ECSE2050 Spring 2004 Quiz I Print your name on every page and show all work to ensure partial credit. Problem 1 (35 points) , <V
Problem 2 (15 points) , iv r
Problem 3 (35 points) Problem 4 (15 points) Total Page 1 of 10 ~‘ "ﬁt
A ﬁt Name: Problem 1:
Consider the operational ampliﬁer circuit shown below: 2 k9 6 k9
V1 ZkQ
_+ V2 V0
—l—' 7k!) a) Assume that the op amp is ideal. Find an expression for the output voltage V0 in terms of the
inputs V1 and V2. 393 5 05 AM Page 2 of 10 Name: b) Assume that the ampliﬁer has Ad = 50 and Acm = 2. Find the output voltage, V0, when V1
= 0.1 + 2sin(2n60t) and V2 = .05 + 25in(21t60t).
V + V; .
ch: ——“' ,_ = .oAS +45w~077600 Vd‘ waft/I 1 “MS  . s
Vo‘ pm ch" A4 Va;  JCMS +3.Swg(ln'€0€)3 1‘ 30!: I 3 Va : 7.V3' + 95% (meow c) Assume that the op amp is ideal except for an offset voltage, V05 = 3mV. Determine the
range of output error voltage due to V03. d) Assume that the op amp is ideal except for bias currents, 13 = 10 nA and 105 = 0. Determine
the output error voltage due to these currents. I?;Ih= :3 : ’OhA at ‘k 1' Mt ‘ .
M N;=V._=O $55” Mme“ :HL.
34‘pr Volt: 6k (mnA): GOMV
W
M * '(Jk H'lk)(\0wg\: mﬂ/w Von: C wg‘ﬂcmswv) ram/w 7K VOI‘VOIW "V4211: '9v>/I~V Page 3 oflO Name: e) Assume that the operational ampliﬁer ideal except for ft = 2 MHz, SR = 5 V/us and V0",ax =
5 V. i) Determine the —3 dB frequency of the ampliﬁer, fgdg. Hint: you can ﬁnd the answer by
considering either the noninverting case alone (V; = 0) or the inverting case alone (V2 =0).
4: _ axw‘ E: ii) Assume V0 is a sinusoid of frequency ﬁdB (found above). Determine the largest
amplitude possible for V0 without distortion. CM 5K 0M“)! r M“
emu " MT (raaxuo‘): < .— sx '0‘
'1‘";ch fl .. SL Page 4 of 10 Name: Problem 2: Consider the Zener diode shunt regulator circuit below. The input voltage consists of a 13 V DC signal with a 3 V peaktopeak sinusoidal ripple, i.e. the input is 18 + 1.53in03t. Assume that the
Zener diode presents a voltage of 12 V for any [Z 2 10 mA (i.e. 12K = 10 mA, V20 = 12V and
r2 = 0). a) Find the maximum value of R that will maintain Vo = 12 V for 1000 S RL 5 00 I: ll ..
1L '5: =1) km“; 7“: Iaoma (AAALR:
. (so A
13 W4 5.. 3 team .13.. b) Assume R = 25 Q. Determine the maximum instantaneous power dissipation in the
Zener diode over the full range of input voltages and RL (100 Q to inﬁnity). Nele/w 39M ooh» («~er Aft144?. LO WtW Mg R¢=d° I3 c OMB?I.§)'/>: .5A
m )5 ?Nx: mum) : Page 5 of 10 Name: Problem 3: In this problem, you will design an unregulated power supply to provide 20 V (average) to a 100 (2 load with a ripple of 0.5 V from a 120 V rms AC input voltage at 60 Hz. The power supply is
to use a full wave rectifier built using a centertapped transformer. Assume that the diodes
present a 0.7 V drop when forward biased. a) Draw the schematic diagram of the power supply showing all components. )1 Dov,m Vs éoﬂz b) Find the required values for the ﬁlter capacitor, C, and the transformer turns ratio (specify
whether your answer is for the full secondary or for onehalf of the secondary). 1/?“ a°+l/)V(= 90.35V __ 29.4! : .
Vs .. 5,5,7 s west/ pad .9 W“ m 8: l/Ms *WMMCl/ekwd’?) ‘%: c\‘or'
u H (WW): gxgdc‘J V( 6“. “DC JFRW' MsoYWMCSV c) Determine the PIV, conduction angle, maximum diode current and average diode
current during conduction. FUJU WK— =DPw=AVsVD s J(ao‘m—J : Page 6 of 10 (1) Based on your answers to (c), ﬁnd the maximum instantaneous power dissipation and the
overall average power dissipation (n_ot just when the diode is conducting — hint: you need
to consider the conduction angle) for each diode. Assume that the diodes have a constant voltage drop of 0.7 V when forward biased. pde : Ibmm‘ (7) :1 9' I W l Cmékoi'w (1’st
.1)  ‘ “h _
ﬁvma‘i  Ibmé< ygamy'ﬂ — So, if E: W
7. WVMW “3’“. e) Describe how you would modify the circuit to produce a power supply that provides an
average voltage of —20 V with a ripple of 0.5 V for the same load resistance and input voltage? Be speciﬁc. Page 7 of 10 Name: Problem 4: The input waveform to each of the circuits below is a 4 V peak triangle wave with period T.
VI Assume that the waveform has been going for all time so the outputs are in steadystate. Assume
that the diodes have a 0.7 V drop when forward biasedand RC >> T. In each case plot v0 vs
time on the axes provided, labeling all important voltages and times. a) (/0me 0L: PPETL Page 8 of 10 Name: Page 9 of 10 Name: Page 10 of10 41, +9 v (4M2 MW} WWW) ...
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