GATE EC 2018 Set 1 — Question 12

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MCQ+1 / -0.33HardDifferentiator & IntegratorOp-Amp CircuitsAnalog CircuitsZener Diode ApplicationsP-N Junction & DiodesElectronic Devices

Analog Circuits → Op-Amp Circuits → Differentiator & Integrator

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Question

In the circuit shown below, the op-amp is ideal and Zener voltage of the diode is 2.5 volts. At the input, unit step voltage is applied, i.e. vIN(t)=u(t)v_{IN}(t) = u(t) volts. Also, at t=0t = 0, the voltage across each of the capacitors is zero.
Op-amp circuit with Zener diode and capacitors
The time tt, in milliseconds, at which the output voltage vOUTv_{OUT} crosses 10-10 V is
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