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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
Q. An antenna has an aperture area of 10 m 2 ,an aperture ef?ciency of 0.6, and negligible losses. If it is used at 5 GHz, determine: (a) Its power gain. (b) The maximum pow
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1. Given S(D1) = !Q1 X + !Q1 Q0 + Q1 !Q0 !X and S(D0) = !Q1 !Q0 !X + Q0 X + Q1 !Q0 !X A. DRAW A MINIMI
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