# Electronic – Assumptions for an op-amp and when they do and don’t hold

operational-amplifier

Correct me if I am wrong but the following is what I think the assumptions we make for an ideal op-amp:

Negative feedback (output connected to the inverting input):

• No current goes into either of the inputs
• The voltage at each of the inputs is the same
• We assume that \$A\$ in the formula \$V_{out}=A(V_+-V_-)\$ is equal to \$\infty\$. (Does this need to be infinity or can it just be very large?)

Positive feedback (output connected to the non-inverting input):

• No current flows into either of the inputs
• The output will always be at saturation (or heading there) (it is bistable) (This does however follow from the other assumptions, namely the one below)
• We assume that \$A\$ in the formula \$V_{out}=A(V_+-V_-)\$ is very large. In this case however I don't think we have to assume that it is \$\infty\$.

In all other cases we assume that no current flows into the op amp.

If we have positive and negative feedback, all we can assume is that no current flows into the op-amp and the voltages depend on the circuit in question. In the specific case of the astable multivariate it happens that the output voltage changes between its two saturation values.

So here are my questions:

1. Firstly, is the above correct and is there any further assumptions that I can add?
2. Are there any exceptions to the above rules (staying of course with ideal op amps)? I was thinking about e.g. a capacitor in the negative feedback situation, like in an op amp integrator circuit, could the rule about the voltage across a capacitor not been allowed to change instantaneously mean that the assumption that the voltages at the inputs are the same does not hold?
1. Is it possible to have a circuit with positive and negative feedback that does not go to one of its saturation points?

If you want me to expand on any point, just ask. Thanks.