EE 230 HW 7 Spring 2010

EE 230 HW 7 Spring 2010 - EE 230 Homework 7 Spring 2010...

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EE 230 Homework 7 Spring 2010 Note: This homework assignment has a mixture of some problems that are quite straightforward and some that are quite challenging. Target solving at least 75% of the problems. Anything over 75% should be viewed as Extra Credit. Problem 1 Using op amps, resistors, and capacitors, design a circuit that a) solves the differential equation ' i i ' o o 2V V V 4 1 V + + = b) has a transfer function of () 1 6 5 2 + + + = s s s s T Problem 2 Assume all that you have a single 1nF capacitor, any number of op amps, and any number of resistors. Design a circuit that has a port impedance of 1uF. Problem 3 Determine the maximum frequency of the input that can be applied to the following circuit if there is to be no SR distortion in the output. Assume the Op Amp is ideal except for a SR of 5V/uS and V IN =2sin(2 π ft). = 2 R 10K = 1 R2 K Problem 4 In the following circuit, the input is a sinusoid given by V IN =V M sin( ω t). Assume the Op Amp has a frequency-dependent gain that can be modeled with the gain- bandwidth product parameter GB. Since the gain of the circuit decreases with frequency, the SR limitations become relaxed and for some value of V M , the op amp will never go into slew, even at high frequencies. Determine the maximum value of V M , in terms of the SR, GB, and K 0 , that can be applied without ever causing the output of the circuit to slew at any frequency. 2 0 1 R K= 1+ R
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Problem 5 Obtain an expression that relates the input voltage and the output voltage (designated as V X ) in the following circuit. Vx X I = e Problem 6 Obtain an expression for and plot V OUT vs V IN for the following circuits. Assume the op amps are ideal. R 1 =1K R 2 =47K V IN V OUT2 R 1 =1K R 2 =5K V IN V OUT 2V Problem 7 The transfer characteristics of a nonlinear device are shown. a) Give a mathematical expression for the transfer characteristics b) If R 2 =4K and R 1 =1K, determine the output of the following circuit if V IN =1V. c) Obtain an expression for and plot the transfer characteristics of the circuit shown for -10V<V IN <10V. Assume R 2 =4K and R 1 =1K.
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Problem 8 (weighted as two homework problems) The data sheet for the Vishay 2381 640 family of thermistors is shown. a) Locate the R 25 =1000 resistor and note the B 25/85 value for this device b) Obtain an expression for and plot the resistance of the R 25 =1000 thermistor versus temperature for 0 o C <T< 100 o C c) Design a circuit that will provide a “High” output if T>50 o C and a low output if T<50 o C using the R25=1000 thermistor as a temperature sensor Note: There is an error in equation (1) of the datasheet. It should read () ( ) 23 A+B/T+C/T +D/T ref RT R e = Problem 9 Design a comparator that has an output that is high when V IN >2V and low when V IN <2V Problem 10 a) Determine V OUT1 and V OUT2 is S 1 is open if V IN is a 1Hz triangular waveform with peak maximum and minimum values of +2V and -2V respectively. Assume the op amps are biased with ± 10V supplies and that the positive and negative saturation voltages of the op amp are ± 10V as well.
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EE 230 HW 7 Spring 2010 - EE 230 Homework 7 Spring 2010...

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