Re: "Stretching" an inductor

Joel Kolstad wrote:
Does anyone know of a simple network that has, say, more than twice the reactance at 2*f0 as it does at f0? Essentially I'm after a reactance of 2*pi*f*(something super-linear).

You can readily convince yourself that going the other way is no problem... if you put a small capacitor in series with an inductor, the slope of the reactance is lowered (since the capacitor's reactance is dropping with frequency), hence making the reactance at 2*f0 less than twice what the circuit has at f0.

There may be some version of a generalized impedance converter that produces a resistive impedance proportional to frequency squared. I have seen some that produce a negative resistance inversely proportional to frequency squared, i.e. -1/D*w^2, where D is a constant based on resistor and capacitor values in the circuit.
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Relevant Pages

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  • Re: "Stretching" an inductor
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