Xvi. Network Synthesis A. Bounds on the Natural Frequencies of Lc Structures
نویسندگان
چکیده
The purpose of this report is to prove the following theorem. THEOREM: The smallest (nonzero) natural frequency that one can realize from a set of positive capacitors C1, ... Cm and a set of positive inductors L . . Ln results when one 1. connects the capacitors in parallel to produce a capacitance C = C1 .. + Cm• 2. connects the inductors in a series to produce an inductance L s = L 1 ... + Ln; and 3. connects C and L in parallel. p s Similarly, the largest (finite) natural frequency that one can realize results when one -l 1. connects the capacitors in a series to produce a capacitance C s = (Cl... +Cm/) -1
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