Op-amp virtual ground concept — If ground is applied to the noninverting (+) terminal of an inverting amplifier, what is the voltage condition at the inverting (−) terminal under linear operation?
-
Anot need an input resistor
-
Bbe virtual ground
-
Chave high reverse current
-
Dnot invert the signal
-
Efloat at an undefined potential
Answer
Correct Answer: be virtual ground
Explanation
Introduction:The idea of “virtual ground” is central to analyzing inverting op-amp circuits. It enables simple current and gain calculations and explains why the inverting topology presents a predictable input impedance and precise closed-loop gain.
Given Data / Assumptions:
- Ideal or high-gain op-amp
- Negative feedback from output to inverting input
- Noninverting input tied to ground (0 V)
- Linear (unsaturated) operation with sufficient supply rails
Concept / Approach:
With negative feedback, the op-amp drives its output so that the differential input voltage (V+ − V−) is approximately zero. If V+ is fixed at 0 V (ground), then V− is held very near 0 V. The point is called a “virtual ground” because it is at (approximately) ground potential without being physically connected to ground.
Step-by-Step Solution:
Set V+ = 0 V (physical ground)With Aol ≫ 1 and feedback present, enforce V+ − V− ≈ 0 → V− ≈ 0 VNo significant current flows into op-amp input; currents go through external resistorsThis allows simple current summation at the inverting node for gain derivationsVerification / Alternative check:
Write node equation at V− with ideal op-amp input current ≈ 0 and solve; solution converges to V− ≈ V+ = 0 V under closed-loop operation.
Why Other Options Are Wrong:
- not need an input resistor: The input resistor sets gain and input impedance; it is required.
- have high reverse current: Ideal input current is ~0; reverse conduction is not the concept.
- not invert the signal: Inverting stage by definition inverts.
- float at an undefined potential: Feedback fixes the node near 0 V.
Common Pitfalls:
- Assuming virtual ground equals a physical short to ground—there is no direct connection.
- Applying virtual ground logic when the op-amp is saturated or feedback is broken.
Final Answer:
be virtual ground