Purpose:
The purpose of this experiment was to investigate the effects of negative feedback on the operation of the multi-stage amplifier which we designed in the three previous experiments. The differential and voltage gain stages will then be combined to yield a large open-loop gain, differential input, single-ended output amplifier. By utilizing the series-shunt feedback configuration, we will hopefully be able to operate a non-inverting amplifier with a gain of ten.
Theory:
Negative feedback was employed in the design of the amplifier because of the following properties:
The trade-off for the above advantages was the reduction of the amplifier’s gain. In turn, as the circuit was designed in a series-shunt feedback configuration, the range of frequencies for which the amplifier was able to remain at its mid-band condition was also extended.
Measurements and Calculations:
1. Rin5 = RB5 || (b +1)(re5+RE5) = 19.96K || (110+1)(25+222) = 11.55KW
2. Ad = (RC4 || Rin5) / 2re4 = (5.05K || 11.55K) / (2*52.4) = 33.53V/V
3. Av = AdAmb = (33.53*14.7) = 492.9V/V
4. fL = [2*pi*CE5*(re+RE5)(b +1) || RB5 || RC4]-1 = [2*pi*(31.7x10-6)(25+222)(110+1) || 19.96K || 5.18K]-1 = 5.45Hz
5. Measuring the potential at the two test points and taking their ratio resulted in a close-loop gain of 8.7V/V. (Gain = TP2/TP1 = 2.1/0.24 = 8.7V/V)
6. BETA = R1 / R1+R2 = 1.957 / (1.957+17.86) = 0.0987
7. fLf = fL / (1+Av*BETA) = 5.45 / (1+492.9*0.0987) = 0.11Hz (Expected) fLf = 0 Hz (Measured)
8. fMax = IE5 / (2*pi*CB6*VP) = 1mA / [2*pi*(1.74nF)*1] = 91.51KHz (Expected) fMax = 83.45KHz (Measured)
9. The rise time of the output pulse was measured to be 6m sec.
10. fhf = 0.350 / tr = 0.350 / 6m sec = 58.3KHz
11. Rinf = TP2*Rs / (TP1-TP2) = (300mV*101) / (0.44-0.30) = 216.43KW
Conclusion:
In this experiment, the negative feed-back loop of our circuit was examined and verified to be working properly. This stage of the experiment will ensure that our amplifier will be non-invertingand will have an overall gain equal to ten. This will set up the final experiment which will be to provide for enough current gain to drive a load, i.e. a speaker in our case. The values obtained in this lab were as expected and no major difficulties were encountered, except for a bad transistor in our second stage. With the gracious assistance of the lab instructor, this minor problem was overcome and the we were able to finish the experiment.