A Tunable Tank Circuit The RLC circuit in Figure P1263 (often called a tank circuit) has (R=4.7

Question:

A Tunable Tank Circuit The RLC circuit in Figure P1263 (often called a tank circuit) has $R=4.7 \mathrm{k} \Omega, C=68 \mathrm{opF}$, and an adjustable (tunable) $L$ ranging from 64 to $640 \mu \mathrm{H}$.

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(a) Show that the circuit is a bandpass filter.
(b) Find the frequency range (in $\mathrm{Hz}$ ) over which the center frequency can be tuned.
(c) Find the bandwidth (in $\mathrm{Hz}$ ) at the end points of this range.

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