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Q. Draw and explain an RC integrator .Derive the relation between input and output voltage.
Solution:
A circuit in which the output voltage is directly proportional to the integral of the input is known as an integrator circuit i.e,
Output ∝ input
An integrator circuit is a simple RC series circuit with output taken across the capacitor as shown in figure
let ei be the input alternating voltage let i be resulting alternating current . Since R is very large as compared to capacitive reactance Xc of the capacitor,it is reasonable to assume that voltage across R(i.e. eR) is equal to the input voltage i.e,
ei =eR
i = eR /R
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