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Question

Match the following :

List - IList - II
a) i)
b) ii)
c) iii)
d) iv)

 

Codes :

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

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

Identify each circuit by the element that sits in the feedback path — that element alone fixes the operation.

(c) is the anchor, so start there. A resistor in, a resistor back: the plain inverting amplifier with

\(V_{o}=-\dfrac{R_{f}}{R_{in}}V_{in}\)

A sine in gives a sine out, same shape, phase reversed. That is waveform (ii) — the inverted sine. This single link is decisive: only option 1 pairs (c) with (ii).

(d) capacitor in, resistor back — a differentiator.

\(V_{o}=-R_{f}C\dfrac{dV_{in}}{dt}\)

A triangular wave has a constant positive slope on the rise and a constant negative slope on the fall, so its derivative is a two-level square wave. With the triangle rising over 0 to 1 and falling over 1 to 2, the output flips sign at t = 1 — exactly waveform (i).

(a) a diode across the feedback path. The diode conducts on one polarity and blocks on the other, so the amplifier passes only half the input excursion and clips or level-shifts the rest. Fed with a sine, the output is a one-sided, clipped, essentially rectangular excursion sitting on a shifted level — waveform (iv).

(b) positive feedback through a divider with Vf on the other input — a Schmitt trigger. Positive feedback means the output can only sit at one saturation rail or the other, switching when the input crosses the upper or lower trip point

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

Fed with the rectified pulse train, it snaps between rails as each pulse crosses the threshold, producing the clean train of rectangular pulses — waveform (iii).

CircuitFeedback elementFunctionOutput
(a)DiodeClipper / precision rectifier(iv)
(b)Positive feedback dividerSchmitt trigger(iii)
(c)ResistorInverting amplifier(ii)
(d)Resistor with input CDifferentiator(i)

The general rule worth carrying away: resistor feedback scales, capacitor feedback integrates, a capacitor at the input differentiates, a diode rectifies or clips, and positive feedback turns the amplifier into a two-state switch.

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

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Important Questions from Op-Amp and Its Applications

  1. In the circuit shown below, $R$ is $1\text{ k}\Omega$ and $R_f$ is $10\text{ k}\Omega$. If $V_{\text{in}}$ is $100\text{ mV}$ and the op-amps have supply voltages of $\pm 15\text{ V}$, then $V_{\text{out}}$ is _______ V.

  2. For IC 741 circuit shown below, the maximum input frequency above which the output will be distorted is ____________. 

  3. Assume that an op-amp 741 connected as a unit gain inverting amplifier is applied with an input change of 10 V. Determine the time taken for the output to change by 10 V. [Slew rate for op-amp 741 = 0.5 V/µs]

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