An RC circuit as shown in the figure is driven by a AC source… | JEE Main 2021 (16 Mar, Shift 1)

Q14JEE Main 2021 · 16 MAR · SHIFT 1Difficult

Inductors & DC Transients (Mixed)

An RC circuit as shown in the figure is driven by a AC source generating a square wave. The output wave pattern monitored by CRO would look close to:

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Answer: (d)

The CRO reads the voltage across the capacitor.
While the square wave is high, $C$ charges: $V_C$ rises along $1 - e^{-t/RC}$ (rising, curving over).
While the input is low, $C$ discharges through $R$ : $V_C$ falls along $e^{-t/RC}$ .
So the output is a sequence of exponential rises and falls, option (d).

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