Abstract
In this paper, the realization of a fractional-order inductor of order less than 0.5 has been realized, where, semiconducting Quantum dots of Zirconium (Zr QDs) is the key component. When a TEM (Transverse Electromagnetic Mode) is used to design a fractional-inductor using a conducting core, it yields a fractional order of 0.5 which is also mathematically derived in this work. Here, in place of conducting fluid, different concentrations of Zr QDs in ethanol have been used which show different phase shifts of the current (less than 45°) with respect to voltages. These experimentally found results, confirm the realization of fractional-inductor of order α < 0.5.The fabricated device works perfectly with a temperature range of −10 °C to 45 °C with an aging of ≈ 1.5 years. Also, the fabricated inductor has been used in an integrating circuit, which shows the change in roll-off-rate, and cut-off-frequency variations with respect to the variation in concentration of Zr QDs in the ethanol solution as the core of fractional-inductor. These experimental values show a good agreement with the simulation with a maximum error percentage of 10 %.
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