ENGR-4300 Fall 008 Test 3 Name SOLUTION Section (MR 8:00) (TF :00) (circle one) Question I (0 points) Question II (5 points) Question III (0 points) Question I (0 points) Question (5 points) Total (00 points): On all questions: SHOW ALL WORK. BEGIN WITH FORMULAS, THEN SUBSTITUTE ALUES AND UNITS. No credit will be given for numbers that appear without justification. of 0
Question I Astable Multivibrator (0 points). (4pt) The 555 timer circuit shown is to have a duty cycle of 66.67% (/3). For a given C, what ratio of resistors R/R will produce this duty cycle Duty Cycle=/3=T/T=(R +R )/(R +R ) /3 = (R +R )/(R +R ) R +4R = 3R +3R R = R R /R = 9dc R 4 R 5 6 7 C C 0.0u CC 8 GND X TRIGGER RESET OUTPUT CONTROL THRESHOLD DISCHARGE 555D 3 Rload 0. (4pt) Using a ratio of R/R = and with C = 50µF, calculate the values for R and R needed to yield a frequency of 5Hz. R = R / f =.44/(R + R )C f =.44/(R + (R /))C 5 =.44/(R )(50µ) R =.44/( x 5 x 50µ) =.88k R = R / =.44k 3. (pt) For an ideal 555, what are the maximum and minimum voltages on pin above during normal operation? min = /3 = /3 x 9 =3 max = /3 = /3 x 9 =6 4. (4pt) For an ideal 555, what are the maximum and minimum voltages on pin 7 above during normal operation? min = ground =0 max = R/(R+R)x(9-6) + 6 = (/3)(3)+6 = 7 of 0
Question I Astable Multivibrator (continued) 5. (6pt) Plot on the axes below the voltages on pins and 7 of the circuit above and be sure to label each. HINT: you may want to find the Duty Cycle first. 0 8 6 4 0 0s 0.s 0.4s 0.6s 0.8s.0s (0) Time 0 8 6 4 0 0s 0.s 0.4s 0.6s 0.8s.0s (X:THRESHOLD) (R:) Time Duty Cycle = (R+R)/(R+R) =.5/ = ¾ = 75% pin swings between 3 and 6 (/3 & /3 of 9) pin3 is either grounded (0) or /3 of the difference between 9 and C 3 of 0
Question II Combinational Logic Circuits (5 points) A UA 7404 UA 3 F 743 3 U5A S 740 B UB 3 4 4 5 UB 6 G 7404 743 3 U4A C 74. Complete the table below for the circuit above (4 pts: all or nothing, continuation of mistakes will be deducted) A B F G S C 0 0 0 0 A B Anot Bnot F G S C 0 0 0 0 0 0 0 0 0 0 0 0 0. A logic circuit (NOT the same as above) has the following truth table. Combining bits RST as a 3-bit binary number, fill in the decimal value in the table (4 pts) 4 of 0
Question II Combinational Logic Circuits (continued) A B C R S T RST as a Decimal Number 0 0 0 0 0 0 0 0 0 0 0 3 3. If A, B, and C are treated as -bit binary number inputs, what ARITHMATIC operation is being performed in creating the output RST? (4 pts: continuation of mistake above will be deducted) Addition 4. Of the basic -input logic gates, which could be used for the ARITHMATIC multiply operation of -bit binary numbers A and B. (3 pts) AND 5 of 0
Question III Sequential Logic Circuits (0 points) OFFTIME =.5mS DSTM ONTIME =.5mS CLK DELAY = 0 STARTAL = 0 OPPAL = UA 7404 UC 5 6 4 U4A J Q 3 CLK Q K CLR 3 7407 7404 A UA QA 3 QB 4 QC 5 QD 6 CLR 74393 U5A 7437 3 UD 9 8 7404 8 9 U4B J Q 5 CLK Q 6 K CLR 7407 0 OFFTIME = s DSTM ONTIME =.0m CLK DELAY = 0 STARTAL = 0 OPPAL = UB 3 4 7404 In the circuit pictured above, clock DSTM provides a clock signal to a counter and two flip flops. The flip flops are clocked one half cycle after the counter to allow for propagation of the signals through the gates. (The counter changes on the negative edge of DSMT and the flop flops change on the negative edge of UA:Y.) DSTM provides an initial reset pulse to both chips. This is required by PSpice to ensure that all sequential devices start in a known state.. The timing diagram below shows the reset pulses and the clock signals. Sketch the following signals in the space provided: the output from the counter (UA:QA, UA:QB, & UA:QC); the output from the combinational logic (UC:Y=U4A:J, U5A:Y=U4A:K=U4B:J, & UD:Y=U4B:K); and the output from the flip flops (U4A:Q & U5A:Q). ( pts per trace = 6 pts) 6 of 0
. A 4-bit counter is cleared and then receives a string of clock pulses. What are QA, QB, QC and QD after clock pulses? Clearly indicate the state of each signal. ( pts) QD QC QB QA 0 3. A 4-bit counter is cleared and then receives a string of clock pulses. What are QA, QB, QC and QD after clock pulses? Clearly indicate the state of each signal. (pts) QD QC QB QA 0 0 7 of 0
Question I Switching Circuits (0 points) In the circuit above, the voltage source pulse puts out a sequence of pulses and the voltages at the source and three other points are monitored (marked A, B, C, and D). The relay model used by PSpice lists the resistance of the coil to be 00 ohms (This is important!):. If pulse is off: a) What is the voltage at point D? ( pt) Explain why (circuit drawing with comments) ( pt). b) What is the voltage at point C? ( pt) Explain why (circuit drawing with comments) ( pt). 8 of 0
Question I Switching Circuits (continued). If pulse is on (3): a) What is the voltage at point D? ( pt) Explain why (circuit drawing with comments) ( pt). b) What is the voltage at point C? ( pt) Explain why (circuit drawing with comments) ( pt). 9 of 0
Question I Switching Circuits (continued) 3. Using this information and the overall circuit diagram, identify which of the following plots goes with this circuit (4 pts) AND label points A, B, C and D (8 pts) on the plot. (Mistakes will be carried over from parts b and c as a deduction). 0 of 0
of 0
of 0
Question Comparators and Schmitt Triggers (5 points). (pt) A typical rural dwelling has a well, pump, and pressure tank to supply the household water. The system is designed to turn on the pump when the tank water pressure is 0psi and turn it off when it reaches 40psi. What is the name associated with a switching system exhibiting this behavior? Schmitt trigger or Hysteresis U Pressure Sensor Signal 4-3 + 7 U 0dc 0 - OS 6 OUT 5 OS + 0 40ac NC COM NO A B Relay _SPDT_nb Water Pump R R ref 0. (3pt) Given a tank pressure sensor transducer circuit that outputs 0.5/psi ( in the above circuit), what would be appropriate voltage thresholds for the high power ideal op-amp circuit to match the pump s two switching points? + low = 0psi x 0.5/psi = 0 + high = 40psi x 0.5/psi = 0 3. (5pt) On the axes below sketch the input-output curve for the circuit in. Be sure to scale both axes. out in 3 of 0
Question Comparators and Schmitt Triggers (continued) 4. (6pt) Set up the equations to find appropriate values for R, R, and ref in the circuit above in terms of the op-amp s supply voltages and the desired switch points for the water pump. v+= v+ v+ high low R R + R = = ( v R R+ R R R + R out ref ( + 0 v (0 v ref ) + ref ) + v ref ) + v ref ref =+ 0 =+ 0 5. (4pt) Given that R = k, find the values of R and ref. (hint: two equations two unknowns: simplify v+ high and/or v+ low ) May solve simultaneous system of equations, but by inspection: if R = k and ref = 0 then v+ low = (0 0) + 0= 0+ 0=+ 0 v+ high = ( + 0 0) + 0=+ 0 6. (5pt) If the circuit below is built (note new op-amp + supply), what are the high and low pressure switching points, given the same pressure transducer? U Pressure Sensor Signal 4-3 + 7 U 5dc 0 - OS 6 OUT 5 OS + 0 40ac NC COM NO A B Relay _SPDT_nb Water Pump.k 4.7k +5 0 4 of 0
v+ v+ high low = =.k.k+ 4.7k.k.k+ 4.7k ( + 5 5) + 5=+ 7.0 Pressure (0 5) + 5=+.95 Pressure low high = 34psi = 3.9psi 5 of 0
Answer to part 3. +0 out 0 0 in -0 6 of 0