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I encounter quite often this sort of problem in my textbook:

enter image description here

This is a classical non-inverting op-amp. However, I'm always perplexed with resistance R1 between voltage source and non-inverting input. Logically if there is a resistance, then there must be a voltage drop, then the real V(input) must be something like V(source) - V(R1). However, since the current in this branch is equal to 0, then V(R1) = 0. So, what is the point to draw this resistance (or a combination of different resistances which can give one Thévenin equivalent resistance) in numerous exercises? Is there some real world examples where R1 can play some role?

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  • \$\begingroup\$ Should there be a blob just south of the voltage source? \$\endgroup\$ – Chu Jun 17 at 14:35
  • \$\begingroup\$ @Chu, yes, sorry, I was in hurry when was drawing the circuit. \$\endgroup\$ – tenghiz Jun 17 at 14:36
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Real world opamps inputs have small have input bias and offset currents and R1 is meant to balance the impedance at the noninverting input with that seen by the inverting input and reduce the error that would otherwise be introduced.

This won't help with all opamps though since some have very low bias currents that are negligible in most cases, and others have offset (i.e. unequal) currents that dominate the bias currents, and others have the wrong relationship between the bias currents between the two inputs (i.e. they flow in different directions through each input).

R1 has no effect for ideal opamps with no input bias currents.

These input bias and offset currents are why an opamp circuit eventually fails minutes after starting if you have no DC path to each input (i.e. only DC block capacitors at an input). The cap eventually charges up due to the bias and offset currents and stops the bias currents from flowing. No bias currents = opamp no work.

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  • \$\begingroup\$ Note that input bias current, and input bias offset current, should be specified. It's not uncommon for an opamp to have a significant input bias current but for the currents to be well matched. Taking the input offset current into account is just one part of op-amp circuit design. \$\endgroup\$ – TimWescott Jun 17 at 16:41
  • \$\begingroup\$ Why do textbooks on electric circuits don't discuss these bias currents? Or: what kind of textbooks can discuss real op-amps behavior? \$\endgroup\$ – tenghiz Jun 18 at 1:48
  • \$\begingroup\$ My undergrad textbooks talk about it. But we did not talk about it in class. I think postgrad goes into it since postgrad is all about the details of the real world. \$\endgroup\$ – DKNguyen Jun 18 at 2:59

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