Lab 6 - ECE 420L Engineering Electronics II Lab  

Authored by Frank Sanchez,

sanchezf@unlv.nevada.edu

3/22/2017 

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Experiment 1

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Common_Drain_Amplifiers.PNG

In your lab report discuss the operation of these circuits.

You know that the circuit above can be measured from the source or output terminal. The common-drain amplifier is used to output a voltage gain of 1, with a current gain. To achieve current gain in the circuit, the R2 resistor on the Vout pin creates a potential between the body(tied to ground) and the source; an increase in in threshold voltage consequently causes a current gain. The voltage divider on the gate is there to bias the potential and determine the VGS. A capacitor is used for AC coupling on the input voltage, in order to keep the bias in tact at the gate.

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.



Theoretical Calculations
Common-Drain_NMOS_HAND.PNG

Common-Drain_PMOS_HAND.PNG

Simulate the operation of these amplifiers.

The images to the Below, displays the simulated DC voltages for the circuit; along with the transistor paramters used for the lab.
Experiment_1_Sim.PNGTRANSISTOR_PARAMETERS.PNG

The Transient Simulation for the circuit above shoes the NMOS GAIN of about 0.946 and a PMOS GAIN of about 0.9017 for a 100mV input voltage.

Common_Drain_Amplifiers_Transient_Sim.PNG


In your lab report discuss, in your own words, how to measure the input resistance.

In order to measure the input resistance in LT spice and the lab experiment , one must add an equivalent resistor calculated for both NMOS and PMOS, respectively, and place it in series to the input resistance. This in hand, forms a voltage divider that would give you 1/2 the input voltage; and 1/2 the output voltage. This is done for both the NMOS and PMOS transistors.
Common_Drain_Amplifiers_AC.PNGCommon_Drain_Amplifiers_AC_Sim_RIN.PNG

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

Similarly to the input resistance, we can use the theoretical value calculated for both the PMOS and NMOS transistors. Which are 86.28-ohms (PMOS) and 52-ohms(NMOS). A coupling capacitor in series with the calculated resistor can be place in parallel to the respective transistors' source. The output voltage is now connected to a voltage divider that will result as 1/2 the output voltage.
Simulation Below shows the measurement of the output resistance and the resulting waveforms displayed.
Common_Drain_Amplifiers_AC_ROUT.PNG

Common_Drain_Amplifiers_AC_Sim_ROUT.PNGCommon_Drain_Amplifiers_AC_Sim_ROUT_1.PNG

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.

By implementing an electrolitic capacitor for the design above, you must understand that they are polarity sensitive. The electrolitic capacitor uses a chemical reaction between the anode and the cathode to form an insulating layer. If the capacitor is to become reversed-biased, the capacitor would inevitable create a short between the terminals. The result of any significant voltage going across the capacitor can overheat and explode the capacitor. Hence, its best to put the greater postive voltage in te positive terminal of an electrolitic capacitor.

Experimental Results

All experiments used 10kHz input frequency

GAIN: NMOS(LEFT): Av=0.913. PMOS(RIGHT): Av=0.8.

EXP1_NMOS_GAIN.jpegEXP1_PMOS_GAIN.jpeg

Rin: NMOS(LEFT);  PMOS(RIGHT).
The NMOS output is approximately one-half the input displayed. The same results for the PMOS.

EXP1_NMOS_RIN.jpegEXP1_PMOS_RIN.jpeg


Rout: NMOS(LEFT);  PMOS(RIGHT).
EXP1_NMOS_ROUT.jpegEXP1_NMOS_ROUT.jpeg


EXPERIMENT 1 TABLE
NMOSHANDSimulationExperimentalPMOSHANDSimulationExperimental
GAIN0.948V/V0.946V/V0.913V/VGAIN0.9137V/V0.9017V/V0.8V/V
RIN(OHM)33k33k33kRIN(OHM)33K33K33K
ROUT(OHM)525252ROUT(OHM)868686

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Experiment 2

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Common Source Amplifiers are used for voltage amplifications. The CS amplifier has the input at the gate and the output at the drain. The voltage divider at the gate and the resistors in the drain and source provide biasing and set saturation for the transistor. The capacitor is used for AC coupling. CS is used for large gain.

Theoretical Results
Common-Source_HAND.PNG

Simulate the operation of these amplifiers.

The images to the Below, displays the simulated DC voltages for the circuit; along with the transistor paramters used for the lab.

Experiment_2_Sim.PNG

Gain for both CS amplifiers using 10mV input gave :  NMOS Gain: Av=6.925; PMOS Gain : Av=5.34
Common_Source_Transient_Sim.PNG



In your lab report discuss, in your own words, how to measure the input resistance.

In order to measure the input resistance in LT spice and the lab experiment , one must add an equivalent resistor calculated for both NMOS and PMOS, respectively, and place it in series to the input resistance. This in hand, forms a voltage divider that would give you 1/2 the input voltage; and 1/2 the output voltage. This is done for both the NMOS and PMOS transistors.
Common_Source_AC_Circuit.PNG

Shown below is the VGN and VGP output voltage of about 500mV. Which is half of the simmed input of 1V.
Common_Source_AC_Sim_RIN.PNGCommon_Source_AC_Sim_RIN_1.PNG

ROUT:
The NMOS and PMOS waveform shows a gain that is one-half the initial gain prior to addin the 1k-ohm resistor on the vout terminal.
Which was
Common_Source_AC_Sim_ROUT.PNG

Notice that the NMOS and PMOS Gain was equivalent to 6.86V/V and 5.39V/V respectively. Hence proving theoretical that the placed 1k resistor is halving the output gain potential.
Common_Source_AC_Sim_ROUT_1.PNGCommon_Source_AC_Sim_ROUT_2.PNG

Experimental Results

GAIN: NMOS: Av=5.3; PMOS: Av=2.8

The NMOS input displays a 460mV pk-k and the output on channel 3 displays 2.46V pk-pk, resulting in a gain of 5.3. For the PMOS simulation on the the input voltage on channel 2 was 486mV while the output voltage on channel 3 was about 1.36V; giving a calculated gain of around 2.8. The PMOS result didn't meet its theoretical expectactions. The PMOS circuit was retested multiple times in order to meet specifications, but the gain of 2.8 was the best tried attempt at the theoretical.

EXP2_NMOS_GAIN.jpegEXP2_PMOS_GAIN.jpeg



Rin:

RIN was measured experimentally the same as in the LT spice simulation. The NMOS(LEFT) result below displays the output at around 200mV which is half the potential the input voltage is supplying. meaning a gain of about half when comparing it to the inital voltage gain with the added resistor value.
Same goes for the PMOS(right), The potential after the included resistor value was about 260mV on channel 3.
EXP2_NMOS_RIN.jpegEXP2_PMOS_RIN.jpeg


Rout:

The NMOS(LEFT) waveform for ROUT is displayed below. The output gain of about 1.32V, which is close to half the initial gain acquired for the NMOS circuit without the added resistor. The PMOS(RIGHT) waveorm for ROUT is displayed below. The output gain of about 700mV, which is close to half the initial gain acquired for the PMOS circuit without the added resistor. The voltage divider functioned as expected and handed me a pretty close estimate to the theoretical calculations.
EXP2_NMOS_ROUT.jpegEXP2_PMOS_ROUT_VOUT_PIN.jpeg

EXPERIMENT 2 TABLE
NMOSHANDSimulationExperimentalPMOSHANDSimulationExperimental
GAIN-6.86V/V6.8V/V5.3V/VGAIN-5.396V/V5.39V/V2.8V/V
RIN(OHM)33k33k33kRIN(OHM)33K33K33K
ROUT(OHM)1k1k1kROUT(OHM)1k
1k1k

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Experiment 3

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Common_GATE_Amplifiers.PNG

The common gate has the input on the source and the output on the drain. The CG amplifier has the low input impedance and high ouput impedance. The result gives high-voltage gain, with low current and power gain. This circuit is dc biased th same way as the source follower. The source resistances are inversely proportional to the gain and cause the gain to increase when the are decreased.

Theoretical Results
Common-GATE_NMOS_HAND.PNGCommon-GATE_PMOS_HAND.PNG

Simulate the operation of these amplifiers.

The current in each device is the same as the gate voltages. The same process was used to find the RIN and ROUT for the design.
Experiment_3_Sim.PNG


The gain for both the CG amplifiers is similar to the thoretical results calculated. The Gain for the NMOS was about 6.22. The PMOS gain was around 4.76. This in hand, using a 10 mV input sorurce.
Common_GATE_Amplifiers_TRANSIENT.PNG



RIN SIMULATION:
Common_GATE_Amplifiers_RIN.PNG


Note that the voltage output is approximately one-half the output gain from the initial voltage gain shown above. This verifies the input resistance is accurate to the theoretical results calculated by hand.

Common_Gate_AC_Sim_RIN_1.PNGCommon_Gate_AC_Sim_RIN_2.PNG


ROUT SIMULATION:
Common_GATE_Amplifiers_ROUT.PNG

The NMOS in the waveform below displays a 30.8mV output on a 10mV. In comparison, the initial output gain without the voltage divider gave me a value of 62.2V. Which in hand relates to a half output voltage when applying the resistor to the desgn. The same is shown for the PMOS design. Once again, the simulation verifies the theoretical output resistance.
Common_Gate_AC_Sim_ROUT.PNGCommon_Gate_AC_Sim_ROUT_2.PNG


Experimental Results:

GAIN: NMOS(lLEFT): Av= 4.7  ; PMOS(RIGHT): Av= 2.6
The GAIN displayed to be 1.86/.416, or around 4.7. This result was a little off, but thegain was there.Same went about the PMOS gain. As the output voltage shoed a 1.22V result with a gain of 2.6.
EXP3_NMOS_GAIN.jpegEXP3_PMOS_GAIN.jpeg

RIN: NMOS(LEFT);  PMOS(RIGHT)
RIN is measured the same was as done before. The NMOS wavefor displays the one-half the initial gain after adding the 152-ohm resistor to the input as the simulation schematic. This in hand confirms the input resistance calculation is accurate to the theoretical result. The PMOS output wavefor shows a similar result. In hand very close to half the output gain.

EXP3_NMOS_RIN.jpegEXP3_PMOS_RIN.jpeg

ROUT: NMOS(LEFT) ;;  PMOS(RIGHT)
The NMOS output waveform displays aproximately one-half of the initial output gain simulated above. This came about with the addition of the 1k-ohm resistor on the design. The PMOS showed similar results.

EXP3_NMOS_ROUT.jpegEXP3_PMOS_ROUT.jpeg


EXPERIMENT 3 TABLE
NMOSHANDSimulationExperimentalPMOSHANDSimulationExperimental
GAIN-6.43V/V.6.21V/V4.7V/VGAIN5.14V/V4.76V/V2.7V/V
RIN(OHM)152152152RIN(OHM)186186186
ROUT(OHM)1k1k1kROUT(OHM)1k
1k1k

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Experiment 4

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PUSH-PULL AMPLIFIER
PUSH_PULL_GAIN_CIRCUIT.PNG


Discuss the operation of this amplifier in your lab report including both DC and AC operation.  Hand calculate the gain of this amplifier. Do you expect this amplifier to be good at sourcing/sinking current? Why or why not? What happens to the gain if the 100k resistor is replaced with a 510k resistor? Why? 

The transistors are used in harmony in order to output a high efficiency and high output power. The push pull amplifier is designed to have an output that can drive current through the load by either load or pull. at a high voltage gain. The input and output are tied by the 100k-ohm resistor allowing the cirucit to be self biased with no DC curren  in transistors. If an input current is negative, causes the M1 transistor to increase and turn on while increasing the the M2 untile it shuts off. The opposed can be said with a positive current.This in hand is called a class AB amplifier.

The amplifier gain is related to the resister on the design, as shown below.
PUSH_PULL_HAND.PNG


Simulation Results:
PUSH_PULL_GAIN_CIRCUIT.PNG

Using a 10mV input, I got around 20V output. Which is around 2k V/V.

PUSH_PULL_GAIN_SIM.PNGPUSH_PULL_GAIN_SIM_2.PNG

PART 2: 510K

At 510k  ohms, the gain wil increas which can be seen though the gain formula above.

PUSH_PULL_GAIN_SIM_510k_1.PNGPUSH_PULL_GAIN_SIM_510k_2.PNG

Experimental Results:

100k

EXP4_PushPULL496mV.PNG

510k
EXP4_PUSH_PULL600mV.PNG

Experiment 4 Table

PUSH-PULLHANDSIMULATIONEXPERIMENTAL
GAIN14.6K3.45K
GAIN2.9KV/V2KV/V1.6k

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Lab Conclusion:
The lab gave the stundent to understand single stage transistor amplifiers. The lab gave us an in depth look and on how common drain (CD), common source (CS), common gate (CG), and push-pull amplifiers. The simulations and experiments conducted in the lab gave me the insight on how these practical applications can be used in specific ways; and on how to understand the differences between real-world application, and theoretical application.

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