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Question - The circuit diagram of an operational amplifier based linear filter is given in Figure.
(a) Show that the transfer function of the filter is:
H(s) = -(Rf/R)(sRC + 1)
(b) Simplify the transfer function for R =10 kΩ, R = 20 kΩ and C = 100 μF.
(c) Hence write down an expression for the frequency response of the filter, H(jω).
(d) If input to the filter is vi(t) = 3 sin(2t), find an expression for the steady-state sinusoidal response of the filter to this input.
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