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May 9, 2021 at 17:26 comment added Andy aka @Manu if eddy currents are generated in the metal sample and the metal sample has got good conductivity and isn't ferrous then the eddy currents act to reduce the inductance value. A poorer conductivity sample might reduce the inductance less but, to a certain point, the losses in the poorer conductance might appear to barely alter the inductance. Ferrous will have a mixed bag of responses based on frequency and conductivity. A lower value of inductance means a higher oscillation frequency.
May 9, 2021 at 16:35 comment added Manu Thanks @andy aka. If a metal is brought close to the inductor in this setup, will it have any impact on frequency? I know it would generate eddy currents. However, since it's a digital circuitry, I just want to know the impact on output frequency
May 9, 2021 at 15:47 history answered Andy aka CC BY-SA 4.0