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This produces an imbalance in the inner working of the op amp, which results in DC errors at the output. Solution: whatever resistance might be connected to one pin, connect a balancing resistance to the other pin. Bingo, things are in balance and DC errors are minimized.
Not eliminated no errors ever are , but minimized. The balancing resistor in this case is, as you say, R2, the bias compensation resistor One teensy problem with this great plan is that you can't always do it--for this or that reason you can't always put in a bias compensation resistor. So then what? There are various solutions, some of them pretty complicated, but the usual thing to do is just add a capacitor to the output.
Capacitors block DC they actually block steady-state currents , so the DC errors can't go forward to the following stages. This is commonly done, it's pretty much the main reason you see interstage capacitors. End of lecture. And now a more succinct answer to your question. You said, "The problem would then be a variable feedback resistor would require a variable compensating resistor too to maintain appropriate input bias.
Either the op amp will draw the bias current it needs, or it won't work. The situation is the need to maintain appropriate bias current compensation. The answer, to get to it at last, is twofold. First of all you're right, with variable gain you can't have correct bias compensation. End of story. But second, it doesn't matter. This is because you're using a single-supply circuit, so an output capacitor is mandatory, so DC errors are blocked anyway. In other words, a non-inverting amplifier behaves like a voltage follower circuit.
A non-inverting amplifier also uses a negative feedback connection, but instead of feeding the entire output signal to the input, only a part of the output signal voltage is fed back as input to the inverting input terminal of the op-amp. The high input impedance and low output impedance of the non-inverting amplifier make the circuit ideal for impedance buffering applications. From the circuit, it can be seen that the R2 Rf in the above picture and R1 R1 in the above picture act as a potential divider for the output voltage and the voltage across resistor R1 is applied to the inverting input.
When the non-inverting input is connected to the ground, i. Since the inverting input terminal is at ground level, the junction of the resistors R1 and R2 must also be at ground level. This implies that the voltage drop across R1 will be zero. As a result, the current flowing through R1 and R2 must be zero. Thus, there are zero voltage drops across R2, and therefore the output voltage is equal to the input voltage, which is 0V.
When a positive-going input signal is applied to the non-inverting input terminal, the output voltage will shift to keep the inverting input terminal equal to that of the input voltage applied. The closed-loop voltage gain of a non-inverting amplifier is determined by the ratio of the resistors R1 and R2 used in the circuit. Practically, non-inverting amplifiers will have a resistor in series with the input voltage source, to keep the input current the same at both input terminals.
Virtual Short In a non-inverting amplifier, there exists a virtual short between the two input terminals. A virtual short is a short circuit for voltage, but an open-circuit for current. The virtual short uses two properties of an ideal op-amp: Since RIN is infinite, the input current at both the terminals is zero. Although virtual short is an ideal approximation, it gives accurate values when used with heavy negative feedback.
As long as the op-amp is operating in the linear region not saturated, positively or negatively , the open-loop voltage gain approaches infinity and a virtual short exists between two input terminals. Because of the virtual short, the inverting input voltage follows the non-inverting input voltage.
If the non-inverting input voltage increases or decreases, the inverting input voltage immediately increases or decreases to the same value.
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