Experiment #8: Design of Common Collector Amplifiers Friday Group Dr. Somnath 11-6-09 Ari Mahpour Teddy Ariyatham Jayson De La Cruz Table of Contents Objective ......................................................................................................................................... 3 Tools ............................................................................................................................................... 3 Theory ............................................................................................................................................. 4 Preliminary Calculations ................................................................................................................. 5 Part 1 ....................................................................................................................................... 5 Part 2 ....................................................................................................................................... 5 Part 3 ....................................................................................................................................... 5 Part 4 ......................................................................................Error! 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Discussion and Results ................................................................................................................... 5 Part 3 ........................................................................................................................................... 6 Part 4 ........................................................................................................................................... 6 Part 5 ........................................................................................................................................... 7 Part 6 ........................................................................................................................................... 9 Part 7 ......................................................................................................................................... 11 Conclusion .................................................................................................................................... 13 Objective The purpose of this laboratory experiment was to design a common collector amplifier using a bipolar junction transistor. Prior to doing so, it was imperative to follow the collector and base currents and beta values through the curve tracer. In previous experiments we had exposure to the curve tracer so this did not become an obstacle in our experiment. Compared to the sixth experiment, where there was a considerable amount of trouble with calculations, the curve tracer portion seemed to be very straight forward. Using a series of methods such as the ten points (provided by the professor) and notes from the corresponding lecture class, the design was very straight forward, enabling the preliminary calculations portion to move through quickly. Tools - Oscilloscope - Functional generator - Power supply - Transistor: Q2N2222A - Capacitors: 10µF - Resistors: (Specific for each circuit design) Theory Using the curve tracer, the student is expected to find the corresponding beta and current values that match up to the bipolar junction transistor that is used in the lab. In this case, the students are instructed to use a 2N2222A transistor and must trace their own part. Using another student’s values could potentially cause trouble since each and every transistor was not created equally. All corresponding beta and current values can be different for each transistor since the fabrication process is not always exact. When tracing ones own transistor, experimental errors stay at a minimum (if none at all). Design calculations must be done by hand and then verified using PSPICE. Both methods are necessary to ensure that the circuit will function correctly. Preliminary Calculations Part 1 (Refer to calculations sheet) Part 2 (Refer to calculations sheet) Part 3 (Refer to calculations sheet) Part 4 (Refer to calculations sheet) V2 18 R1 365.4uA 40k Rsig 50 0A VOFF = 0.00000001 V3 VAMPL = 2.5 FREQ = 10kHz 0A 05.738mA Q1 C1 Q2N2222A 5.373mA C2 10uF 26.87uA V R2 338.5uA 10k 10uF -5.400mA Re 5.400mA 500 0 Figure 8.1: PSPICE Model Rl V 5k 0A Discussion and Results Part 3 RC (Ω) VCE (V) IC (mA) Theoretical Experimental Percent Error 1500 1500 8.16 7.55 7.48% 4.91 5.41 10.18% These values were simply found by performing a DC analysis both by hand (using the digital multimeter) and PSPICE. The percent errors where off quite a bit but one must take into consideration internal capacitance and resistance values that PSPICE does not factor in. When working at such a low current value (in this case milliamps), any small difference will look huge on a small scale. Part 4 VIN (V) VOUT (V) AV Theoretical Experimental Percent Error 0.24 0.24 2.52 2.52 13.29 10.5 20.99% When observing the percentage error, it can be alarming that this value is so large. However, it is important to note that PSPICE evaluate the voltage gain differently that was taught in the corresponding lecture class. PSPICE will evaluate the voltage gain to be the output voltage divided by the signal voltage. The calculations that were taught in the corresponding lecture course were to perform the voltage gain by taking the output voltage and divide it by the input voltage. Therefore, one can easily see that there is a clear discrepancy between the values but they should not be regarding as an error, rather a percentage difference. Part 5 VIN (V) VOUT (V) Theoretical Experimental Percent Error 0.65 1.2 14.7 15 2.04% PSPICE RESULTS FOR PART 5 (OUTPUT SWING) Figure 6.5a: PSPICE Model 8.0V 4.0V 0V -4.0V -8.0V 1.0ms V(VS:+) 1.5ms V(CC:2) 2.0ms 2.5ms 3.0ms 3.5ms 4.0ms 4.5ms Time Figure 6.5b: PSPICE Simulation The goal of this step was to find the point where our output voltage caps. This required us to slowly increase our input signal amplitude until we reached the limit of the output voltage, and measure that peak-to-peak voltage. Figure 6.5a shows our input voltage of 650mV, and Figure 6.5b shows the output voltage capped at 14.69 volts, almost the same value for Rout achieved in our lab experiment. 5.0ms Part 6 V1 (V) Resistance (Ω) V2 (V) Zi (Ω) Theoretical Experimental 0.2 2.48 4300 6700 0.1 1.2 4300 6281 PSPICE RESULTS PART 6 Figure 6.6a: PSPICE Model 4.0V 2.0V 0V -2.0V 1.0ms V(VS:+) 1.5ms V(CC:2) 2.0ms 2.5ms 3.0ms 3.5ms 4.0ms 4.5ms V(Q1:b) Time Figure 6.6b: PSPICE Simulation Input Swing Output Swing (Capacitor) Using PSPICE, we found the input impedance to be approximately 4.3kΩ using the lab maual’s method. When we set the extra resistor to a value equal to the input impedance, our voltage across the capacitor would be ½ that of the input signal. Figure 6.6a shows our value of 4.3kΩ, and Figure 6.6b shows that we have ½ the input voltage across the capacitor. 5.0ms Part 7 Theoretical Experimental Percent Error V1 (V) 2.75 5.12 Resistance (Ω) 1490 1500 0.67% V2 (V) 1.375 2.56 Zo (Ω) 1490 1500 0.67% PSPICE RESULTS FOR PART 7 Vout (open circuit value) = 2.75017 (RL = 100MΩ) Figure 6.7a: PSPICE Model Figure 6.7a shows our open circuit output of 2.75V across the increased (100MΩ) load value. Our goal was to find a load value that would give us an output voltage approximate ½ that of the open circuit voltage. We found that a 1.49k resistor gives us the ½ open circuit voltage we wanted. Therefore the output impedance of the circuit is approximately 1.5k, which is exactly the value we achieved in the physical experiment. Conclusion In this laboratory experiment we modeled a common collector amplifier with little errors and ease of design. The most important factor to the beginning of this laboratory experiment was to ensure that the proper curve tracer values were found. In addition, the ten steps were very helpful in designing the circuit in a fast manner. In real world applications people find common collectors to be an integral part of the basic amplifier. They are the most commonly used and easiest to calculate. In future experiments, the laboratory manual will take the student through more complicated amplifiers that require a bit more skill to design.