Cameroon Baccalauréat Série F2 Practice Questions - Cameroon Baccalauréat Technique Série F2 (Électronique) Exam

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In an op-amp integrator circuit (montage intégrateur) with input resistor $R$ and feedback capacitor $C$, what is the output voltage $v_{out}(t)$ for an input voltage $v_{in}(t)$?

v_{out}(t) = -\frac{1}{R C} \int v_{in}(t) \, dt + V_0 v_{out}(t) = -R C \frac{dv_{in}(t)}{dt} v_{out}(t) = -\frac{R}{C} v_{in}(t) v_{out}(t) = +\frac{1}{R C} \int v_{in}(t) \, dt

Correct Answer:

v_{out}(t) = -\frac{1}{R C} \int v_{in}(t) \, dt + V_0

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