Lab 4 - ECE 420L
Authored
by Kyle Butler, butlerk2@unlv.nevada.edu
2/27/2019
Pre-lab work:
- Watch the provided video and review the associated notes. Simulate the circuits provided in the zip file.
- Read the write-up seen below before coming to lab.
Lab work:
- Estimate, using the datasheet, the bandwidths for non-inverting op-amp topologies having gains of 1,5, and 10.
- Experimentally verify these estimates assuming a common-mode voltage of 2.5V.
- Your
report should provide schematics of the topologies you are using for
experimental verification along with scope pictures/resutls.
- Associated comments should include reasons for any differeneces between your estimates and experimental results.
- Repeat these steps using the inverting op-amp topology having gains of -1,-5 and -10.
- Design
two circuits for measuring the slew-rate of the LM324. One circuit
should us a pulse input while the other should usa a sinwave input.
- Provide comments to support your design decisions.
- Comment on any differences between your measurements and the datasheet's specifications.
Datasheet Gain Estimation:
From
the datasheet for the LM324 the GBP of this opamp is 1.3MHz. From the
open loop frquency response wer can see at unity gain frequency is
approximately 1.3MHz
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/gbp.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/gbp.JPG)
If we consider the relationship between unity grain frequency, bandwith, and gain we can find the bandwith for a given gain.
fun = Gain * Bandwith Bandwith = Gain/fun
Gain of 1:
1.3MHz = 1.3MHz/1
Gain of 5:
260KHz = 1.3MHz/5
Gain of 10:
130KHz = 1.3MHz/10
Experimental Gain Measurement
Schematics used: Gain of 1, 5, and 10 respectively
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/sch_1.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/sch_1.JPG)
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/sch_5.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/sch_5.JPG)
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/sch_10.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/sch_10.JPG)
Real
world circuit: Gain of 1 and 5, for a gain of 10 the 40k was replaced
with 100k and in my haste I forgot to take the picture.
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/gain_1.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/gain_1.JPG)
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/gain_5.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/gain_5.JPG)
Scope pictures:
In
order to find the bandwith we chose to increase frequency until the
output is 0.707 or -3dB the input. this is the gain bandwith
Gain of 1:
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/exp_gain_1.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/exp_gain_1.JPG)
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/min3db_gain_1.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/min3db_gain_1.JPG)
Gain of 5:
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/exp_gain_5.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/exp_gain_5.JPG)
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/min3db_gain_5.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/min3db_gain_5.JPG)
Gain of 10:
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/exp_gain_10.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/exp_gain_10.JPG)
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/min3db_gain_10.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/min3db_gain_10.JPG)
Estimated vs. Experimental bandwiths:
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/table_1.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/table_1.JPG)
Experimental Gain Measurement(inverting)
Schematics used: Gain of -1, -5, and -10 respectively
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/sch_invert1.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/sch_invert1.JPG)
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/sch_invert5.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/sch_invert5.JPG)
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/sch_invert10.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/sch_invert10.JPG)
Real world circuit: Gain of 1, 5, and 10 respectively
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/invertgains.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/invertgains.JPG)
Scope pictures:
Similarly to the non inverting gains we chose to increase frequency until the
output is 0.707 or -3dB the input. this is the gain bandwith
Gain of -1:
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/invert_gain_1.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/invert_gain_1.JPG)
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/min3db_invert_gain_1.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/min3db_invert_gain_1.JPG)
Gain of -5:
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/invert_gain_5.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/invert_gain_5.JPG)
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/min3db_invert_gain_5.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/min3db_invert_gain_5.JPG)
Gain of -10:
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/invert_gain_10.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/invert_gain_10.JPG)
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/min3db_invert_gain_10.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/min3db_invert_gain_10.JPG)
Estimated vs Experimental bandwiths:
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/table_2.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/table_2.JPG)
Skew Rate
First lets consider the slew rate so we can know what value of slew rate we should expect to measure
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/slewrate.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/slewrate.JPG)
In order to measure the slew rate we will look at change in output voltage with respect to time.
Circuits builts to measure slewrate:
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/slew_circuit.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/slew_circuit.JPG)
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/slew_circuit.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/slew_circuit.JPG)
Scope: Square wave and Sinwave respectively
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/slew_square.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/slew_square.JPG)
![http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/skew_sin.JPG](http://cmosedu.com/jbaker/courses/ee420L/s19/students/butlerk2/Lab%204/skew_sin.JPG)
Square slew rate = 500mV/1.4uS = 0.35V/uS which is close to the 0.4V/uS slew rate
Sin slew rate = 1.5V/3.9US = 0.38V/uS which is even closer to the 0.4V/uS slew rate
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