You wish to design a set of speaker arrays for a stereo

QUESTION

Need expression or complete formulaYou wish to design a set of speaker arrays for a stereo system that runs 500 W per channel (one channel per array). The array consists of a woofer for low frequencies and a tweeter for high frequencies, each having an impedance R. You want to set up a passive filter using a capacitor and an inductor, which will be wired in series with the speakers, that will provide a cut giving 1/4 the maximum intensity at frequency fcut for both the tweeter and the woofer, which are wired in parallel. Noting that the intensity is directly related to power, and thinking about the circuit’s behavior at very high and very low frequencies, you must find the correct capacitance and inductance to use in series with the appropriate speaker.Part A – What capacitance should you use, and with which speaker should the capacitor be in series?Part B – What inductance should you use, and with which speaker should the inductance be in series?

ANSWER:

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