Question 705045

SCQHARD

A train of square wave pulses is given to the input of an ideal op-amp circuit shown below. Given that the time period of the input pulses T≪RCT \ll RC and the opamp does not get into saturation, which of the following best represents the output waveform?

Question
(A)
Option A
(B)
Option B
(C)
Option C
(D)
Option D

Detailed Solution

The circuit consists of an op-amp differentiator followed by an RC integrator.

The first stage acts as a differentiator, producing spikes at the transitions of the square wave input. Since the input is a square wave with period T≪RCT \ll RC, the differentiating action produces sharp pulses. The subsequent RC circuit acts as an integrator.

Integrating the spikes (which are essentially impulse functions δ(t)\delta(t)) restores the signal to a square wave shape.

Thus, the overall transfer function results in the output being a square wave.

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