AUR R Avc Figure P32.45
You have decided to build your own speaker system for your home entertainment system. The system will consist of two loudspeakers: a large “woofer,” to which you want to send low audio frequencies (bass), and a small “tweeter,” which should receive high audio frequencies (treble). To separate the high and low frequencies of the audio signal, you build the “crossover network” as shown. The input voltage is the audio output of the amplifier in your system, shown in the figure as an AC source. You have two outputs as shown: one across the resistor and one across the capacitor. (a) Across which element should you connect the woofer? (b) Across which element should you connect the tweeter? (c) To choose the appropriate values of R and C, you need to determine an expression for the ratio of the output voltage to the input voltage as a function of angular frequency ω for the resistor as an output. (d) You need to determine a similar expression for the ratio of the output voltage to the input voltage as a function of angular frequency ω for the capacitor as an output.
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