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Design Ideas: March 30, 1995

Negative resistance increases inductor's Q

Victor Koren,
Orckit Communications Ltd, Tel Aviv, Israel

The circuit in Fig 1a synthesizes a negative resistance. Putting this network in series with the inductor in Fig 1b increases the inductor's Q factor. Fig 1b's filter was designed to attenuate a noise-power-ratio test signal's adjacent carriers of 200 kHz ±4 kHz by 20 dB. The single parallel LC circuit provided the necessary low distortion and high stability, but a higher inductor Q was necessary.

Fig 1a is a modified version of the Howland current source, and is rearranged and designed to be open-circuit stable. If VOV2, which negative feedback ensures, then V12V2. Then

IO=(VO-V1)/R2
=VO-2VO/R2
=-VO/R2

and

RO=VO/IO-R2.

You can adjust the negative resistance by using RT to achieve 20 dB of attenuation at 200 kHz ±4 kHz. (DI#1678)


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