Discussion
For proper operation of integrators, its RC time constant and period T of the wave should be such that
Answer: B
For the proper working of an integrator, the RC time constant must be much larger than the period of the wave, \(T \ll RC\), option (B). The capacitor then charges only a small part of the way towards the input level in each period, so its voltage stays small compared with the input and the current is set nearly by the resistor alone, which makes the output the integral of the input. Option (A), \(T \gg RC\), is the condition for a differentiator, where the capacitor charges fully and the output shows only the edges. Option (C), \(T = RC\), gives an exponential response that is neither of them. Option (D) has no meaning for an integrator.
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