EE 2212

Spring 2019

14 February 2019

Experiment 3: Additional Operational Amplifier Circuits

Purpose

To simulate and  implement the designs of:

Ø An active analog Low-Pass Filter (LPF)

Ø An active analog High-Pass Filter (HPF)

Ø An active analog Band-Pass Filter (BPF)

Ø A Wien Bridge Oscillator

GENERAL COMMENT

Run  SPICE frequency domain simulations with a VAC generator programs for the LPF, HPF, and BPF.   Use  the μA741 model in the eval.slb library.  You will need the following information from your SPICE program in order to complete this lab:

Ø   AC analysis including amplitude as a function of frequency from around 10 Hz to at least 10 kHz.

Ø   TIME DOMAIN ANALYSIS IS NOT REQUIRED!

PRELAB

Use your design for the inverting operation amplifier with a low frequency voltage gain of  20 dB  from Experiment 2,  Figure 1, as a basis to implement your design.

Image13

 

 

 

 

Figure 1 (Refer to Experiment 2)

Design the Low Pass and High Pass Filters to meet the indicated specifications. You should come to the lab with a list of the components you will need to meet the specifications. For the Low-Pass Filter, Figure 2, the corner frequency is computed from  and the low frequency voltage gain is given by  and for

the High-Pass Filter, Figure 3,   and the high frequency voltage gain is given by .  The derivation of the corner frequencies follows that of the passive RC filter circuits from Experiment 1 and from class last week.  We will also discuss more at the beginning of the lab period.  Include the derivations in your notebook.

PROCEDURE

Refer to the mA741 data sheet. Observe, again that you are using the 8-pin DIP.  Do not include the 10 kW offset voltage potentiometer. All resistors must be at least  2 kW. Use ± 12 volts for the power supplies. Your Low Pass and High Pass designs should be supported analytically and by SPICE simulations. Use the library   model   for the mA741.  Adjust your input levels to avoid otput voltage clipping. 

1.              ANALOG ACTIVE LOW-PASS FILTER

Design and test an low-pass filter with a low-frequency voltage gain of 20 dB and a 3 dB corner frequency in the range of   2 to 4  kHz, Figure 2. Do not use series and parallel capacitor combinations or series and parallel resistor combinations .  Use standard values that yield a corner frequency  and voltage gain reasonably close to the specifications. 

Ø Experimentally verify your design and simulation results.

Ø For verifying low-pass filter operation, measure 20 log|A(jf)| and compare your results with the SPICE AC simulation over a similar range.

Image16.gif

Figure 2  Low Pass Filter

2.    ANALOG ACTIVE HIGH-PASS FILTER

        Design and test a high-pass filter, Figure 3 with a high-frequency voltage gain of 14 dB and a 3 dB corner frequency in the range of 50 Hz to 200 Hz.  Do not use series and parallel capacitor combinations or series and parallel resistor combinations.  Use standard values that yield a corner frequency  and voltage gain reasonably close to the specifications

Ø Experimentally verify your design and simulation results.

Ø For verifying high-pass filter operation, measure 20 log|A(jf)| and compare your results with the SPICE AC simulation over a similar frequency range.

Image19.gif

Figure 3 High Pass Filter

3.    ANALOG ACTIVE BAND-PASS FILTER

       Now cascade the output of the HPF with the LPF and note the band pass characteristic.  Measure 20 log|A(jf)| and compare      your results with the SPICE AC simulation over a similar range.  The center of your filter design will peak near 34 dB or about   |Av| approximately50.  You will have to adjust your input level to avoid output voltage clipping.

Image19.gifImage16.gif

Figure 4  Band Pass Filter

4.    WIEN BRIDGE OSCILLATOR

       So far, all of the circuits we have studied employ negative feedback.  The following circuit, Figure 5,  employs positive feedback; and as mentioned in class,  an audio example of positive feedback is the “howl” observed when the microphone and speaker are not placed well in an auditorium and you have constructive (additive) signals; positive feedback.  Construct the following circuit which is similar to what is shown in Figure 12.43 on page 741 of the text.  At first glance, the circuits look different but they are the same.  You are generating a signal source, that is you are demonstrating the operation of an oscillator.  Observe that there is no external signal generator!!!!  Monitor vo(t) using your oscilloscope.  Observe there is no input signal.  This is called a Wien Bridge Oscillator.  Explain why this is a useful circuit.  (Note depending upon the resistor tolerances and circuit losses, you may have to increase your value of R2 somewhat; perhaps as high as 33 kΩ).  Lead dress has an impact on the circuit performance.  Compare the observed oscillating frequency of operation to   the equation,  and the voltage gain required setting established by.The SPICE simulation approach is interesting and I will demonstrate this when your group reaches that part of the lab.    In a real circuit, an oscillator starts through random noise which provides an initial signal with the correct phase shift to obtain positive feedback .   To show this in a SPICE simulation, add an initial condition of several tenths of a volt to each of the capacitors as an initial condition and then use a transient analysis that extends for several periods of the expected frequency output.  The exponential signal growth is kind of cool (at least I think so)  to watch during the simulation.  The simulation makes you a believer in the  exp(+αt) DFQ solution.

Figure 5 Wien Bridge Oscillator

 

Alternative definition for mobility

And micrometer

 

 

 

 

 

 

 

 

 

 

 

 

$1500 for a 512 GByte XsMax

 

 

Do you believe this explanation or the one claiming the WEB originated

as a spin-off  of a U.S. Department of Defense ARPANET project?

image014

Time to start thinking about out of EE technical electives registration for next semester.

image015

image017

Also UROP, Deadline Coming Up Soon

image019