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Q. Explain Inductorless Filters
Inductorless (Active) Filters
Filters (used to pass or eliminate certain frequency components of a signal) that are suitable for IC fabrication, but which do not contain inductors, are known as active filters. They have the op amp as a common component. Figure 5.4.13 shows the basic op-amp circuit with frequency-dependent impedances. The voltage gain or voltage transfer function of this circuit is given by
with Zi = Ri and Zf = Rf (1/j ωCf ) (i.e., Rf and Cf in parallel). We have a low-pass filter with
is sketched in Figure 5.4.14, from which one can see that at the half-power or 3-dB point of fl, the dc value Rf /Ri goes down by a factor of 1/ √ 2 or 0.707. With Zf = Rf and Zi = Ri + 1/j ωCi (i.e., Ri and Ci in series), we have a high-pass filter for which we obtain
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There is a force on the plunger required to do to move it into or out of the gap and work must be done by or against this force. The conservation of energy dictates that the change
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