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David:
[snip] "David Robbins" wrote in message ... "Peter O. Brackett" wrote in message .net... Slick: What about a negative inductance for a load? A negative capacitance? And don't tell me those are not passive! a negative inductance is a capacitance, and a negative capacitance is an inductance! and yes, they are both passive! [snip] You are only half correct David. They are both passive, but a negative inductance certainly is NOT a capacitor. And a negative capacitor certainly is NOT an inductor. Compare the expressions below to convince yourself of the truth of this assertion. The inductive reactance for a positive inductor is: X = j*w*L of a negative inductor X = -j*w*L of a positive capacitor X = 1/j*w*C = -j/w*C of a negative capacitor X = 1/-j*w*C = j/w*C The magnitude of the reactance of a negative inductor goes up with frequency while the magnitude of a capacitor goes down with frequency, etc... I have synthesized filters with both negative inductors and negative capacitors, they are theoretically passive and they do work. -- Peter K1PO Indialantic By-the-Sea, FL |
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