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The resistor in the figure below represents the midrange speaker in a three-speaker system. Assume its resistance to be constant at 7.80 Ω. The source represents an audio amplifier producing signals of uniform amplitude ΔVmax = 10.5 V at all audio frequencies. The inductor and capacitor are to function as a band-pass filter with ΔVout/ΔVin = 1/2 at 225 Hz and at 4.50 X 103 Hz.

881_The resistor represents the midrange speaker.png

(a) Determine the required value of L.

(b) Determine the required value of C.

(c) Find the maximum value of the ratio ΔVout/ΔVin.

(d) Find the frequency f0 at which the ratio has its maximum value.

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