Question:

In the circuit shown below, if the values of \( R \) and \( C \) are very large, the form of the output voltage for a very high frequency square wave input is best represented by: 

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In an RC circuit, if \( R \) and \( C \) are very large and the input frequency is high, the capacitor doesn't fully charge or discharge. This results in the output behaving like the integral of the input waveform.
Updated On: Apr 16, 2025
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The Correct Option is C

Solution and Explanation

The given circuit is an RC high-pass filter.
When the input is a high-frequency square wave and both \( R \) and \( C \) are very large, the circuit behaves like an integrator.

An integrator outputs a signal that is the time-integral of the input.
Since the integral of a square wave is a triangle wave, the output voltage will have a triangular waveform.

Hence, option (C) best represents the output voltage waveform.
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