Concept:
An operational amplifier (op-amp) is a high-gain, direct-coupled differential voltage amplifier used to build a wide variety of analog signal processing circuits. To simplify circuit analysis, engineers use an ideal model with idealized performance parameters.
Let's review the core properties that define an ideal operational amplifier:
• Infinite Input Impedance (\(Z_{\text{in}} = \infty\)): The input terminals behave like a perfect open circuit. This means the op-amp draws absolutely zero signal current from the input source (\(I_+ = I_- = 0\)). As a result, it can sense input voltages without loading down or distorting the preceding signal stage.
• Zero Output Impedance (\(Z_{\text{out}} = 0\)): The output stage acts like a perfect independent voltage source. This allows the op-amp to deliver its output voltage consistently to any connected load impedance without any internal voltage drop, regardless of how much current the load draws.
• Infinite Open-Loop Voltage Gain (\(A_{OL} = \infty\)): An infinitely small differential voltage between the two input terminals is sufficient to drive the output to its maximum value. This high gain enables accurate feedback control loop systems.
• Infinite Bandwidth (\(BW = \infty\)): The amplifier maintains its ideal gain and performance characteristics uniformly across all signal frequencies, from DC ($0\text{ Hz}$) to infinitely high frequencies.