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Question

Match List I with List II

LIST ILIST II
A.Butterworth filter of order '2'I.Impedance matching
B.BufferII.CMRR = ∞ (infinity)
C.Schmitt TriggerIII.Positive feedback
D.Ideal OPAMPIV.40 dB/decade roll off

Choose the correct answer from the options given below:

This question was previously asked in
UGC NET 2023 Electronic Science Question Paper (13-Dec-2023) (Shift 1)
The correct answer is

A-IV, B-I, C-III, D-II

Match each block to its defining property.

A → IV, second-order Butterworth: 40 dB/decade roll-off. Every pole adds 20 dB/decade of stopband attenuation, so an order-n filter falls at

\(20n\ \text{dB/decade} \Rightarrow 2\times 20 = 40\ \text{dB/decade}\)

(equivalently 12 dB/octave). The Butterworth response is maximally flat in the passband, \(|H(j\omega)|=1/\sqrt{1+(\omega/\omega_c)^{2n}}\), and is −3 dB at cut-off for every order.

B → I, buffer: impedance matching. A voltage follower has unity gain but an extremely high input impedance and a very low output impedance. It therefore takes almost no current from the source and can drive a heavy load — isolating a high-impedance sensor from a low-impedance stage so that no signal is lost in loading. (In the op-amp world "impedance matching" here means impedance isolation/buffering, not the conjugate matching of RF work.)

C → III, Schmitt trigger: positive feedback. A fraction of the output is fed back to the non-inverting input, so the switching threshold moves with the output state. That gives two distinct trip points — hysteresis:

\(V_{UT}=\dfrac{R_1}{R_1+R_2}V_{sat}, \qquad V_{LT}=-\dfrac{R_1}{R_1+R_2}V_{sat}\)

The gap between them makes the output immune to noise on a slowly changing input, and squares up ragged waveforms.

D → II, ideal op-amp: CMRR = ∞. The common-mode rejection ratio \(CMRR = A_d/A_{cm}\) is infinite for an ideal op-amp because its common-mode gain is zero — it responds solely to the difference between its inputs and completely ignores any signal common to both. This is what lets a difference amplifier extract a small differential signal riding on a large common-mode voltage or noise pickup.

Hence, the correct matching is A-IV, B-I, C-III, D-II.

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Important Questions from Op-Amp and Its Applications

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