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Question

Match the following: 

List - IList - II 
(a)  (i) Schmitt trigger circuit
(b)  (ii) Triangular wave generator
(c)  (iii) Subtractor
(d)  (iv) Integrator circuit

Codes :

This question was previously asked in
UGC NET 2015 Paper 1 Question Paper (27-Dec-2015)
The correct answer is

(a)-(iv), (b)-(ii), (c)-(i), (d)-(iii)

 Each circuit is identified by what sits in its feedback path, and by whether that feedback is negative or positive.

(a) Resistor in, capacitor back — the integrator → (iv):

\(V_{o}=-\dfrac{1}{RC}\int V_{in}\,dt\)

(b) The same, but with Rsh across the capacitor — the practical integrator, used here as a triangular wave generator → (ii). Integrating a square wave gives a triangle, since a constant input produces a linear ramp whose slope reverses with the input. The shunt resistor is essential in a real circuit: without it, the op-amp's input offset current would charge the capacitor steadily until the output saturated. Rsh provides a DC feedback path that fixes the operating point, at the cost of making the circuit integrate only above \(f=\dfrac{1}{2\pi R_{sh}C}\).

(c) Feedback to the non-inverting input — the Schmitt trigger → (i). This is positive feedback, so the output cannot rest anywhere but at a saturation rail. The divider sets two trip points:

\(V_{UT},V_{LT}=\pm\dfrac{R_{2}}{R_{1}+R_{2}}V_{sat}\)

and the gap between them is the hysteresis that turns a slow or noisy sine wave into a clean square wave with no chatter at the threshold.

(d) Two inputs, four resistors — the subtractor → (iii). With matched ratios,

\(V_{o}=\dfrac{R_{2}}{R_{1}}\left(V_{in2}-V_{in1}\right)\)

The order (iv), (ii), (i), (iii) is option 1.

CircuitFeedback elementFeedback senseFunction
(a)CNegativeIntegrator
(b)C with shunt RNegativePractical integrator / triangle generator
(c)R to + inputPositiveSchmitt trigger
(d)R, both inputs drivenNegativeSubtractor

The decisive observation is (c)'s feedback terminal. Everything else in the list uses negative feedback and therefore behaves linearly; the moment the feedback resistor returns to the plus input, the circuit becomes a two-state switch. That single wire is what separates an amplifier from a comparator.

The pair (a) and (b) together make the useful point that an integrator and a triangular-wave generator are the same circuit; the difference is only in what drives it and in the DC-stabilising resistor that a real one needs.

Hence, the correct match is (a)-(iv), (b)-(ii), (c)-(i), (d)-(iii).

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Important Questions from Op-Amp and Its Applications

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  4. Which of the following statements about the Op-Amp differential amplifiers is INCORRECT?

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