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That is a 5V input results in a -5V output or V if the amplifier has a gain of 2. This corresponds to a degree phase shift which can be useful in amplifiers, filters, and other circuits. As a corollary to the second rule, you can easily analyze the circuit shown here by thinking of the negative inverting terminal as a virtual ground. This virtual ground idea makes the analysis of the circuit simple. You can see on the simulation that the amplifier has a gain of 3.

So pretend the input is 5V DC or, if you like, change the voltage source. For an inverting amplifier, the gain is the simple ratio of the two resistors, since what sets the gain is the equal current flowing through both resistors. If the two resistors were equal, a non-inverting amplifier has a gain of 2, while an inverting amplifier has a gain of 1.

Of course, the idea of a virtual ground is really nothing more than restating rule 2. If both terminals have inputs, you have a differential amplifier. These are important for several reasons. One of the biggest use of differential amplifiers is to reduce common mode noise. Suppose you have a temperature sensor that puts out a tone from to Hz depending on the reading. The wires going to the sensor are long and you find that you are picking up 60 Hz hum from the AC wiring.

Your input signal might look something like the one on the right. The 60 Hz hum is about 5 times a strong as the square wave data signal. How can you recover it? There are several answers, of course. But if you observe that both the positive and ground wire going to the sensor will pick up the hum, a good answer is to subtract the return leg from the positive leg.

Since the noise is the same on both wires, it should subtract out, leaving only the signal of interest. That means, by rule 2, that the — terminal will also be at that same voltage.

Suppose there is a steady 2V on both inputs. That means the — terminal will also have 1V. If the input is 1V and the — terminal is 1V, the output must be at 0V since the feedback network will be like a voltage divider.

No matter how the voltages change together, the output will remain zero. That means the output voltage has to change to set the same current in the feedback resistor. If the zero current is confusing, try a different voltage like 3V in this circuit.

There are a lot more things you can do with op amps, but those will have to wait for a future Circuit VR. The inputs will have a little leakage. The outputs will not get right up the rail if you draw much current from them in a general-purpose op amp. Precision circuits may need care for offset trimming and other special design considerations. Guild Wars. Conquer Online. Maple Story.

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