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Inverting Amplifier

  Figure gif shows an op-amp in the inverting configuration along with the power supply connections and . Future circuit diagrams will show only the signal portion of the circuit with the understanding that the power supply connections are required for proper operation of the circuit. To analyze this circuit, we will use Kirchhoff's Current Law (KCL) to determine the output node voltage and the circuit voltage gain given by the formula

 

It is important to distinguish between the voltage gain of the circuit and the open-loop voltage gain of the op-amp. The op-amp is only part of the amplifier circuit. The open-loop voltage gain A of the op-amp is the voltage gain from the two op-amp inputs to the op-amp output. While the output node of the whole amplifier circuit may be the output node of the op-amp, the input to the amplifier circuit will not be, in general, a voltage applied across the input terminals of the op-amp.

To analyze an op-amp circuit we first look at the op-amp input nodes (2 and 3). Assuming an ideal op-amp, no current flows into either of the op-amp inputs (Equation gif). The current through is zero and therefore . From Equation gif we know that . From this, the current flowing through resistor is

From Equation gif we know that .

To find the gain (of the amplifier circuit), we need to divide the output voltage by the input voltage:

Note that the final gain is negative, thus the name . However, sometimes a negative gain is not desired. In such a case, one could either use the output of the inverting amplifier as the input to a second inverting amplifier which would cause the total gain to be positive. However, a simpler method would be to use the non-inverting amplifier configuration.



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Next: Non-inverting Op Amp Up: Op Amp Configuration Previous: Op Amp Configuration



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