why do we add resistor in parallel to capacitor integrator circuit
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I think there is a difference between the two discharging elements - the reset switch removes all the charge inside the capacitor (caused by both the AC and DC signals) while the resistor selectively removes only the undesired DC component. In addition, the DC integrator does not function during the reset. So we should use a reset switch in the case of "occasionally working" DC integrators, and a resistor - in the case of "continuously working" AC integrators.
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