Homework 3 Solutions

# Homework 3 Solutions - ESE 372/Spring 2009 HW3(problems are...

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Unformatted text preview: ESE 372/Spring 2009 HW3 (problems are taken from recommended book) Due: March 5‘". Part 1 (corrections to HW2) D2.12. Using an ideal op amp, what are the values of the resistors R1 and R2 to be used to design ampliﬁer with the closed-loop gains listed below. In your design, use IOkQ as a value of one resistor. Value of the other resistor should be equal or larger than lOkQ. D233. Assuming the op amp to be ideal, it is required to design the circuit below to implement current ampliﬁer with gain i_load/i_in=20 A/A. (a) ﬁnd the required value for R; (b) if RL=1kQ and the op amp operates in an ideal manner so long as V_out is in the range ilZ V. What range of i_in is possible? mm RI. la; 1" W30“: 3> Molina/3‘ c {5% < Qle1 A.‘ 2.62. For the circuit below express v_out as a function of v_1 and Vw2. What is the input resistance seen by V_1 alone? By v_2 alone? By a source connected between the two input terminals? By a source connected between the two terminals simultaneously? 1'? I? is. cwwwwwwaw—www: "T"? Z‘ i 3 2, ~47 i: as“: R M '6} W W3 vii/awe V“; 3 mg HT; (V120) [Vi-Z {7/1 g / ‘11 K'Z £6” {lg-{Qer 2 l i 72. “t a; :2 #8 xﬁw «32v "(2. s\ \z‘a’wxf’l 1:m: 22\l2‘V/: CIVIC c: {L 3 % A Part 2 2.84. Op amp is characterized by a gain—bandwidth loop gain of +100V/V. What 3-dB bandwidth resul LOGK v 0m" (use: t g £ fade. product of ZOMHZ. It is operated with closed- ts? \OO‘ £gohg: 2C) MUH- Mﬁwaé 20PM; gd \3 I. 2.0 .__.._.._ MW, :: \OO .1. ._..— 206w%% D2.125. Consider circuit below. Derive the transfer function. Plot the magnitude response. Show that the high—frequency gain is ~R2/Rl and 3dB frequency is coo=l/(C*Rl). Design the circuit to obtain a high-frequency input resistance of iOkHz, a high—frequency gain of 40dB, and 3dB frequency of ikHz. 15v. 3.13. A square wave of 6—V peak—to—peak amplitude and zero average is applied to a circuit below with R=100Q What is the peak output voltage that results? What is the average output voltage that results? What is the peak diode current? What is the average diode current? What is the maximum reverse bias voltage across the diode? 3.19. A diode for which the forward voltage drop is 0.7V at ImA and for which n= 1 is operated at 0.5V. What is the value of the current? Fovzxwﬁﬂb «33M XL \A:\ Ti e: Egg/WWW) Wiw 2 ZS‘WV" 3.78. A full—wave bridge rectiﬁer circuit with a IkQ load operates from a 120V (rms) 60Hz household supply through lO-to—l step—down transformer having a single secondary winding. It uses four diodes, each of which can be modeled to have a 0.7V drop for any current. What is the peak value of the rectiﬁed voltage across the load? For what fraction of the cycle does each diode conduct? What is the average current through the load? Q.w_gr.m.W.—. wwwwwwwww WW... wwwwwwwwww “a w / I); y( n: //f ‘ \\\ a \ 7- ~-;~ ua‘ imc voltage 1:": \ R x/ \‘ "/ \/ \fﬁMc’,‘ 3.85. Augment the rectiﬁer from problem 3.78 with a capacitor chosen to provide a peakto-peak ripple voltage of 10% of the peak output. What average output results? Sketch the load voltage as a function of time with and without capacitor. Indicate on the plot the periods when capacitor is being charged and discharged. ...
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