Determine the resonant frequency and bandwidth, Electrical Engineering

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Q. A gyrator is sometimes used in integrated circuits to simulate inductances. Consider the circuit of Figure consisting of a gyrator.

(a) Show that the impedance as seen to the right at terminals 1-1 can be represented by an inductor in series with a resistor.

(b) Determine the resonant frequency and bandwidth for the following values:

R = 10⁵ ; g = 10^-3S; C₁= C₂ = 100 pF.

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