Lab 6 - EE 420L 

Authored by Sharyn Miyaji,

Email: miyajis@unlv.nevada.edu

Today's date: Wednesday, March 22, 2017 

  

Pre-Lab Work

   


   

Lab Work

   

Source Followers Amplifiers (a.k.a. Common-Drain Amplifiers)

   

Below are schematics for NMOS and PMOS source followers amplifiers (also known as common-drain amplifiers).

In your lab report discuss the operation of these circuits.

     

In a common drain amplifier, the drain of the amplifier is common for both the input and the output. The input is at the gate of the gate of the transistor and the output is measured at the source.  The input resistance for both cases can be found by calculating the resistors connected to the gate in parallel.  The output resistance can be found by calculating the resistor connected to the source of the transistor in parallel with 1/gm since they are connected to the output.  In order to find the transconductance of the transistor, the DC voltages and drain current must be found.  To find the DC voltage at the gate or the input voltage, voltage division must be applied with VDD and to find the DC voltage at the source, KCL and the square law equation are applied, which determines the DC output voltage.  Once those DC voltages are found, the drain current throughout the circuit, which can also determine the transconductance of the transistor, can be determined. 

     

Simulate the operation of these amplifiers.

     
NMOSPMOS
http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_NMOS_schematic.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_PMOS_schematic.JPG
http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_NMOS_simulation.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_PMOS_simulation.JPG
     
Hand calculate, and then verify your hand calculations with experimentation and simulations, the gains and the input and output resistances ensuring that your test signals are at a high enough frequency that the caps have negligible impedance but not so high that the gain is dropping off.
-If you build this circuit using electrolitic capacitors, assuming the input AC signal swings around ground, put the "+" terminal of the cap on the gate of the MOSFET.  Please indicate, in your lab report, that you understand why the capacitor is connected this way.

   
NMOSPMOS
Hand Calculationshttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp1_NMOS_calculation.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp1_PMOS_calculation.JPG
Gain Schematic (Same as above)http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_NMOS_schematic.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_PMOS_schematic.JPG
Theoretical Gain Simulation (Same as above)http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_NMOS_simulation.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_PMOS_simulation.JPG
Experimental Gain Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp1_NMOS.PNGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp1_PMOS.PNG
Input Resistance Schematichttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_NMOS_Rin_schematic.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_PMOS_Rin_schematic.JPG
Theoretical Input Resistance Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_NMOS_Rin_simulation.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_PMOS_Rin_simulation.JPG
Experimental Input Resistance Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp1_NMOS_Rin.PNGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp1_PMOS_Rin.PNG
Output Resistance Schematichttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_NMOS_Rout_schematic.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_PMOS_Rout_schematic.JPG
Theoretical Output Resistance Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_NMOS_Rout_simulation.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp1_PMOS_Rout_simulation.JPG
Experimental Output Resistance Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp1_NMOS_Rout.PNGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp1_PMOS_Rout.PNG
   
Results
NMOSPMOS
Calculated Gain0.948V/V0.918V/V
Experimental Gain0.939V/V0.863V/V
Input Resistance33.3k33.3k
Output Resistance4877
   
Electrolitic Capacitor Discussion
   
The electrolitic capacitor must have the positive terminal where there is a higher DC voltage because if it placed where there is a lower voltage, it will create a short.  Therefore, it will cause the capacitor to overheat due to the chemical reaction in the capacitor.
   
In your lab report discuss, in your own words, how to measure the input resistance.
   
When the equivalent input resistance is calculated, the same value resistor is placed in series with the input voltage creating a voltage divider.  It causes the output voltage to cut in half from its original simulation without the additional input resistance since the voltage going into the gate of the transistor is halved as well.  
   

Again, in your lab report discuss how to measure the output resistance.

   
When the output resistance is calculated, the same value resistor is placed in series with the output along with a big capacitor, which is connected to ground.  The input and output are probed and the results should be about half of the result of the simulation without the additional output resistance. 

   

Common-Source Amplifiers

   

Below are two common-source amplifiers.

    

NMOSPMOS
http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp2_NMOS_schematic.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp2_PMOS_schematic.JPG
    

Discuss the operation of these amplifiers in your lab report including both DC and AC operation. 

   

Using voltage division and KCL, the DC and AC voltages and current can be found.  The DC gate voltage is the same as the CD amplifier since the value of the resistors and VDD the same.  The DC output voltage is a different value since it is measured between the drain of the transistor and a 1k resistor that is tied to VDD for the NMOS and ground for the PMOS.  The source resistance for both circuits causes the gain of the circuit to be higher that the CD amplifier since the resistance in the drain is lower and the capacitor connected in series is for AC coupling.

    

Hand calculate the gains and the input/output resistances.

   

NMOSPMOS
http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp2_NMOS_calculation.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp2_PMOS_calculation.JPG

   

Again compare your hand calculations to simulation and experimental results.

    

NMOSPMOS
Gain Schematic (Same as above)http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp2_NMOS_schematic.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp2_PMOS_schematic.JPG
Theoretical Gain Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp2_NMOS_simulation.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp2_PMOS_simulation.JPG
Experimental Gain Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp2_NMOS_Gain.PNGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp2_PMOS_Gain.PNG
Input Resistance Schematichttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp2_NMOS_Rin_schematic.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp2_PMOS_Rin_schematic.JPG
Theoretical Input Resistance Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp2_NMOS_Rin_simulation.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp2_PMOS_Rin_simulation.JPG
Experimental Input Resistance Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp2_NMOS_Rin_Out.PNGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp2_PMOS_Rin.PNG
Output Resistance Schematichttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp2_NMOS_Rout_schematic.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp2_PMOS_Rout_schematic.JPG
Theoretical Output Resistance Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp2_NMOS_Rout_simulation.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp2_PMOS_Rout_simulation.JPG
Experimental Output Resistance Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp2_NMOS_Rout.PNGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp2_PMOS_Rout.PNG
   
Results
NMOSPMOS
Calculated Gain-6.87V/V-5.55V/V
Experimental Gain-5.75V/V-2.78V/V
Input Resistance33.3k33.3k
Output Resistance1k1k
   
Common-Gate Amplifiers
   
Below are two common-gate amplifiers.
   
NMOSPMOS
http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_NMOS_schematic.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_PMOS_schematic.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_PMOS_schematic.JPG
   
Discuss the operation of these amplifiers in your lab report
 including both DC and AC operation.
   
The common-gate amplifier is where the gate is common to the input and output.  The schematic of the CG amplifier is the same as the CS amplifier except the input voltage is through the source resistance and capacitor and the second capacitor is tied to ground.  The DC voltages are the same as the CS amplifier since the schematic is the same.  Again the source resistance decreases the resistance in the source, so it causes the gain to increase, but it does not cause a phase shift.  
   
Hand calculate the gains and the input/output resistances.
   
NMOSPMOS
http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp3_NMOS_calculation.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp3_PMOS_calculation.JPG
   
Again compare your hand calculations to simulation and experimental results.

   

NMOSPMOS
Gain Schematic (Same as above)http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_NMOS_schematic.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_PMOS_schematic.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_PMOS_schematic.JPG
Theoretical Gain Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_NMOS_simulation.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_PMOS_simulation.JPG
Experimental Gain Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp3_NMOS.PNGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp3_PMOS.PNG
Input Resistance Schematichttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_NMOS_Rin_schematic.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_PMOS_Rin_schematic.JPG
Theoretical Input Resistance Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_NMOS_Rin_simulation.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_PMOS_Rin_simulation.JPG
Experimental Input Resistance Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp3_NMOS_Rin.PNGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp3_PMOS_Rin.PNG
Output Resistance Schematichttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_NMOS_Rout_schematic.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_PMOS_Rout_schematic.JPG
Theoretical Output Resistance Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_NMOS_Rout_simulation.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp3_PMOS_Rout_simulation.JPG
Experimental Output Resistance Simulationhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp3_NMOS_Rout.PNGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp3_PMOS_Rout.PNG

   

Results

NMOSPMOS
Calculated Gain6.59V/V5.28V/V
Experimental Gain5.22V/V3.27V/V
Input Resistance151189
Output Resistance1k1k

   

Push-Pull Amplifier

   

Below is a push-pull amplifier.

   

http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp4_100k_schematic.JPG

   

Discuss the operation of this amplifier in your lab report including both DC and AC operation. 

   

The push-pull amplifier will depend on the DC voltage offset since it will determine if the NMOS or PMOS is on and off.  They both cannot be on the same time, so if the DC voltage is low, the NMOS is off and if the DC voltage is high, the PMOS is off.  To find the gain, the transconductance of both the NMOS and PMOS must be added together and multiplied by the resistor between the gates and drains of the transistor based on nodal analysis.

     

Hand calculate the gain of this amplifier.

    

http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp4_Calculations.JPG

   

Since the push-pull amplifier contains both an NMOS and PMOS, it can be good at sourcing or sinking current because the NMOS sinks the current since it is tied to ground and the PMOS sources the current since it is tied to VDD.

   

http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Exp4_Calculations2.JPG   

   

If the 100k resistor were to be replaced with the 510k resistor, the gain of amplifier will increase and have a higher chance of making the output voltage to clip since it will swing out of its range.  Therefore, the input voltage needs to be really small in order to create a nice waveform.

   

Again compare your hand calculations to simulation and experimental results.

    

100k Resistor510k Resistor
http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp4_100k_schematic.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp4_510k_schematic.JPG
http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp4_100k_simulation.JPGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Lab6_Exp4_510k_simulation.JPG
http://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Push_Pull_100k.PNGhttp://cmosedu.com/jbaker/courses/ee420L/s17/students/miyajis/lab6/Pictures/Push_Pull_510k.PNG
Gain = 1.48V/2mV = 740 V/VGain = 2V/2mV = 1kV/V

   

The amplifier with the 510k resistor looks a little saturated compared to the amplifier with the 100k resistor.  The values for both gains were far off the ones that were calculated, especially the amplifier with the 510k resistor.

   

Most of the experimental values were not the same as the theoretical values, which may be because the body voltages were not taken into consideration.  Normally, the body of the NMOS is tied to ground and the PMOS is tied to VDD.  Also the PMOS were constantly changed because it was not giving a close output since it may have not been good.

  

   

  

   

  

   

  

 

  

    

   

  

  

  

  

   

 

 

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