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Q. Explain about Differentiator?
Shown in Figure is a differentiator which is obtained by replacing R1 in the inverting amplifier of Figure by a capacitor C. Assuming ideal op-amp characteristics, one has i = iC and vo = - Ri = - RiC. But since iC (t) = Cdvin (t) /dt ,we get
vo (t) = - RC dvin (t) / dt
which corresponds to a differentiator with a gain of -RC. In practice, however, differentiators are normally avoided because of high-frequency noise (which is accentuated due to a transfer function that increases with frequency) and stability problems (which make them oscillate).
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1) Assume that we are given the continuous-time signal xa (t) = xa1 (t) + xa2 (t) + xa3 (t), where, xa1 (t) = 2 + cos3 (2pf1 t + p 3 ) + 2 cos(2pf2 t), xa2 (t) = 2 cos(2pf3 t)
explain
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