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Lab 2 Common Emitter Amplifier Frequency Response November 6, 2014 Michelle Acosta Executive Summary: The Common Emitter Amplifier is a single-stage amplifier that is most often used as a voltage amplifier. The Bipolar Junction Transistor (BJT) is configured with the input at the base, the output at the collector, and the emitter common to both or, in this case, grounded. In order to study the CE Parameter Requirement Amplifier and its frequency response, Midband Gain AM ≥ 125V/V parameters were set in order to give a Low-Frequency Response L High-Frequency Response H ≥ basis for a well working voltage amplifier. By selecting an input current and four resistor values, the amplifier met the criteria annotated in Table 1. DC Power PDC 35mW Table 1: Design specifications of a Common Emitter Amplifier were given. Lab Procedures and Measurement Discussion: The lab consisted of hand calculations, PSPICE simulation, and measurements of the circuit shown in Figure 1.The hand calculations served as a basis for connecting lecture material to the lab setting. The PSPICE simulation was a quick and easy way to confirm that specifications were met. Finally, the measurements gave a real world example of the CE Amplifier that was designed according to the given specifications. The circuit was measured for DC and AC values and for values to plot a frequency response. In the end, Figure 1: The Common Emitter Amplifier is most often used as a voltage amplifier. The resulting gain of the CE Amplifier should be greater than 125 V/V while using less than 35 mW of DC power. the specifications were met and the frequency response was plotted. 2 Being that the most difficult part of the lab was finding a starting point, the lab TA gave vital hints. The initial current that was used to calculate values by hand was IC=1mA. However, the specifications of the frequency responses were not met with this current so another had to be chosen. The next value attempted was IC=1.8mA and the specifications were met. However, although the specifications were met, there may have been a better design that would produce a higher gain. Deciding that reworking hand calculations would be too time consuming, a Matlab code was written in order to efficiently calculate the specified values. In the end, it was decided that I C=1.5mA would be best fit for the design. As stated previously, the main focus of the lab was to study the frequency response of the CE amplifier. The frequency response of the CE amplifier would ideally look like that of the plot in Figure 2(a). The area where the plot is generally flat is the midband gain (AM) and it is in this area that the gain is unaffected by all capacitances. The area to the left of the midband gain is where the gain is affected by the base and emitter capacitances, Cb and Ce. The area to the right of the midband gain is where the gain is affected by the internal capacitances Cμ and CThe points at which the frequency response intersects the 3dB frequency are the areas of interest as these correspond to two of the specifications wL and wH. (a) (b) Figure 2: Figure 2(a) depicts the ideal frequency response of the CE amplifier designed in the lab. Figure 2(b) depicts the measured frequency response of the CE amplifier. The values for the frequency response were obtained by varying the frequency and measuring the voltage. 3 At low frequencies, the capacitances Cb and Ce cannot be ignored. Unfortunately, there is not just one low-frequency response. In order to calculate fL, the superposition principle must be used. The effects of each capacitor should be analyzed by shorting the other capacitor. The two values can then be added together to give the approximate value of the low-frequency 3dB frequency, assuming that the two capacitors are no interacting. On the other hand, at high frequencies, Cb and Ce have very small impedances and can therefore be replaced by short circuits. At the midband frequencies, open circuits can replace the internal capacitors of the BJT. However at high frequencies, the effects of both Cμ and Cmust be accounted for. Both internal capacitances are given by the datasheet making the high frequency 3dB frequency relatively easy to calculate. The voltage at which the wL and wH frequencies occur at of the physical circuit was measured to be 1.4V. From there voltage values were measured by varying the input frequency. At this point the frequency response of the designed circuit was plotted using excel. Figure 2(b) depicts the measured frequency response and it can be seen that it is similar to the frequency response in Figure 2(a). Conclusion: The Common Emitter amplifier was studied in this lab. The design specifications were met and the frequency response was obtained. It was seen that the there was a large midband gain with low and high 3dB frequencies making the CE amplifier an excellent choice for a voltage amplifier. 4 Summary Table 5 Hand Calculations 6 PSPICE Frequency Response PSPICE Final Circuit 7