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An experimental script for studying amplifiers and negative feedback in closed-loop configurations. The script covers the concepts of open and closed-loop configurations, voltage gain, and the operation of multiplier and summing amplifiers. Students will set up the experiments and observe the behavior of the circuits at various frequencies and input voltages.
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Keele University Physics Laboratory 20
Amplifiers and Negative Feedback
1. Introduction Most of the experimental apparatus of modern physics makes use of electronic instruments of some kind. Even if the primary object of study is not electrical in nature, such as acoustic phenomena or chemical kinetics, the information collected is nevertheless usually converted into electrical signals which are then processed and recorded electronically. The amplification of signals is an important feature of such electronic instrumentation. So common is the need for amplification that integrated circuits to perform this function are now mass produced at a very low unit cost. These integrated circuits are so freely available and so flexible in their use that they meet the needs of most applications. Nowadays only for very special requirements would amplifiers be individually designed and constructed from discrete elements. This experiment examines some of the circuits which can be constructed using a linear amplifier
having a high voltage gain, high input resistance (~ 1 M) and low output resistance (~100 ). The amplifier is an inverting one, that is to say the change in the output voltage is of opposite sign to that of the input voltage change (to within a 90° phase shift). Because of this it is possible to connect the output to the input by suitable circuit elements so as to "feedback" some of the output to the input. Since the voltage gain is negative this feedback is also negative - it acts to reduce the input change and so to modify the function of the amplifier. When the amplifier has no feedback applied it is said to be in an open loop configuration. The application of the feedback forms a closed loop configuration.
Keele University Physics Laboratory 21
2. Closed loop configurations 2a. Multiplying Amplifier In the circuit of fig. 1 the loop is closed by a resistor, R 2 connecting the output to the input and the voltage generator is connected to the input through another resistor R 1.
Fig. 1 Multiplier circuit If the amplifier has a sufficiently high input resistance the current from the generator I, flows through R 1 and R 1. Thus V V IR V V IR V A V
s o i o i
i =^ - = - = -
1 2
.a) b) (1. c)
where A is the open loop voltage gain measured previously. Eliminating I from these equations gives
If A >> R 2 (^) / R 1 then Vi ~ 0 and
i 1 s 2 0 1 s 2
(2.a)
(2. b)
o s
2 1
Keele University Physics Laboratory 23
Using the fact that S is a virtual earth point it follows by the analysis given in section (2a), that
when A >> R R
2 1
thus the circuit of Fig. 2 gives an output proportional to the sum of the two input voltages.
Procedure
Examine the performance of this circuit with R 1 = R 2 = 47 k by using two signal generators with sinusoidal output signals of the same amplitude and frequency. Observe and note what happens if you alter the amplitude and frequency of one of the sinusoidal signals with respect to the other. Try adding a sine wave of ~ 500Hz to a square wave of ~ 100Hz and note what happens, similarly try a square wave of ~500Hz and a sine wave of 100Hz. Note you will need to very carefully vary the frequency of the “non-triggering” generator in order to obtain a stationary trace on the CRO.
V (^) o =^ - RR 1 2 (V 1 + V ) 2^ (4)