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quiz1_2004_soln - Name SOLUTWOM Rensselaer Polytechnic...

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Unformatted text preview: Name: SOLUTWOM Rensselaer Polytechnic Institute Department of Electrical, Computer and Systems Engineering ECSE-2050 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‘flc-mswv) 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 non-inverting 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 peak-to-peak 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 (AAA-LR: . (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 Aft-144?. 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 center-tapped 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 one-half of the secondary). 1/?“ a°+l/)V(= 90.35V __ 2-9.4! : . 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=AVs-VD 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 steady-state. 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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