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 ....................................................................................................................................... 5 Discussion and Results ................................................................................................................... 6 Parts 2 and 3 ................................................................................................................................ 6 Part 4 ........................................................................................................................................... 8 Part 5 ........................................................................................................................................... 9 Part 6 ......................................................................................................................................... 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 Parts 2 and 3 IC (A) RE (Ω) VCE (V) Theoretical Experimental Percent Error 0.00512 0.0054 5.47% 500 500 15.4 15.45 0.32% 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 8.3a: PSPICE Model Rl V 5k 0A 3.0V 2.0V 1.0V -0.0V -1.0V -2.0V -3.0V 0s V(V3:+) 20us V(Rl:2) 40us 60us 80us 100us 120us 140us 160us Time Figure 8.3b: PSPICE Model Figure 8.3c: PSPICE Calculations VIN (V) VOUT (V) AV Theoretical Experimental Percent Error 2.499 0.108 2.462 0.106 0.9849 0.9815 0.35% Since this amplifier is a common collector, the gain is 1. This circuit is also known as a unity gain amp, or a buffer amp. The values we calculated result in a design that meets the required specifications. The gain is 9.8, which is greater than the required 9.5. Output swing across load is driven to 2.4 V which is greater than the 2 V required in the specifications. 180us 200us Part 4 3.0V 2.0V 1.0V -0.0V -1.0V -2.0V -3.0V 0s V(V3:+) 20us V(Rl:2) 40us 60us 80us 100us 120us 140us 160us 180us Time Figure 8.4a: PSPICE Model Clipping occurs around 2.5 V when the input is at 2.7 V as shown in Figure 8.4a. We used PSPICE to measure the output voltage at which our V out begins to show distortion, meaning the maximum voltage our amplifier is able to drive the output. In both our experimental and PSPICE circuits, we were able to drive the load resistor to around 2.7V. This surpasses the specified output swing of at least 2V across a 5kOhm load resistance. 200us Part 5 V1 (V) Resistance (Ω) V2 (V) Zi (Ω) Theoretical Experimental 2 0.112 7500 6900 1 0.0536 7500 6900 V2 18 R1 40k Rsig 0 Q1 C1 Q2N2222A 7.5k 10uF C2 V VOFF = 0.00000001 V3 VAMPL = 2 FREQ = 10kHz 10uF V R2 10k Re 500 0 Figure 6.5a: PSPICE Model Rl V 5k 2.0V 1.0V 0V -1.0V -2.0V 0s V(V3:+) 20us V(Rl:2) 40us V(C1:1) 60us 80us 100us 120us 140us 160us 180us Time Figure 6.5b: PSPICE Simulation Figure 8.3c: PSPICE Calculations In experiment 6, we learned that we could essentially guess and check with various input resistors to find out what the input impedance of our circuit was. This was done by inserting an additional input resistor (Rin) with a value such that our Vn will be half the input voltage (Vin) of the original circuit. We know this because whenever a voltage is passed through 2 equivalent resistors in series, the voltage is divided in half. In Figure 6.5b, we see that our original PSPICE input voltage is 1.99V, and when a 7.5kΩ resistor is inserted, the voltage across that resistor becomes 0.99V. Therefore we can conclude that our input impedance (Zin) is approximately 7.5kΩ. This coincides with the generalization that common collector amplifiers have high input impedance, which explains why they are commonly used as the last stage in multi-stage amplifiers. 200us Part 6 Theoretical Experimental V1 (V) 0.098 0.11 Resistance (Ω) 10 47 V2 (V) 0.050 0.0536 Zo (Ω) 10 47 V2 18 R1 40k Rsig 0 Q1 C1 Q2N2222A 500 VOFF = 0.00000001 V3 VAMPL = 100mV FREQ = 10kHz 10uF C2 10uF V V R2 10k Re 500 0 Figure 6.6a: PSPICE Model Rl 10 100mV 50mV 0V -50mV -100mV 0s V(V3:+) 20us V(Rl:2) 40us 60us 80us 100us 120us 140us 160us 180us Time Figure 6.6b: PSPICE Simulation As with finding input impedance, we use a similar guess and check method to find output impedance. This is done by first measuring the output voltage with an open (infinite) load resistance. In PSPICE, this is done by inserting a load resistance of < 1 MegaOhm, since pspice doesn’t handle open circuits. Next, we increase the original load resistance such that the output voltage (open load) is divided in half. Above in Figure 6.6b, we can see that inserting a 10Ω resistor changes our output voltage from 98mV to 50mV. Therefore our output impedance (Zout) is approximately 10Ω. 200us 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 in the middle range with respect to the fastest and most commonly used amplifiers. In future experiments, the laboratory manual will take the student through more complicated amplifiers that require a bit more skill to design.