Consider the ideal op-amp integrator. Assume the capacitor is initially uncharged. (a) The output voltage is (v_{O}=-5

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Consider the ideal op-amp integrator. Assume the capacitor is initially uncharged.

(a) The output voltage is \(v_{O}=-5 \mathrm{~V}\) at \(t=1.2 \mathrm{~s}\) after a \(+0.25 \mathrm{~V}\) pulse is applied to the input. What is the \(R C\) time constant?

(b) Use the results of part (a). At \(t=1.2 \mathrm{~s}\), the input changes to \(-0.10 \mathrm{~V}\). (i) At what time does \(v_{O}=0\) ? (ii) At what time does \(v_{O}=+5 \mathrm{~V}\).

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