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The opamp is an inverting amplifier. The transistor is able to drive a low impedance load better than the opamp.
Something like LM386 would be more appropriate.
It is an inverting amplifier with a gain smaller than unity. An input between 0 and +5V would produce an output in the negative range only. However, if you need an output between -0.1 and +0.1 it is necessary to shift the output signal somewhat into the positive range. That is the purpose of the voltage divider which feeds the non-inv. input of the opamp.A square-wave voltage of 0-5 volts is applied to the first circuit.
Why is the output voltage of the amplifier -0,1 - + 0,1 V.
Is this due to the voltage divider that reduced the input voltage from 5 volts?
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