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A cross-over circuit takes a single input signal and splits it into two or more output signals at different frequencies or frequency ranges. One example is shown in the circuit below, which represents a cross-over circuit for a sound system, where v(t) and v(t) represent speakers such as a tweeter or a woofer each with an impedance of Z= 5. 1. Find the transfer function of each output v(t) and v(t), and determine which one acts as the tweeter (high frequencies) and woofer (low frequencies) 2. Identify the values of L and C such that the cross-over frequency (frequency at which the two transfer functions cross) is equal to 4 kHz. Plot the system gain for each output using the values you identified for L and C. vi(t) 5 Ω v(t) 50 v²(t)

A cross-over circuit takes a single input signal and splits it into two or more output signals at different frequencies or frequency ranges. One example is shown in the circuit below, which represents a cross-over circuit for a sound system, where v(t) and v(t) represent speakers such as a tweeter or a woofer each with an impedance of Z= 5. 1. Find the transfer function of each output v(t) and v(t), and determine which one acts as the tweeter (high frequencies) and woofer (low frequencies) 2. Identify the values of L and C such that the cross-over frequency (frequency at which the two transfer functions cross) is equal to 4 kHz. Plot the system gain for each output using the values you identified for L and C. vi(t) 5 Ω v(t) 50 v²(t)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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A cross-over circuit takes a single input signal and splits it into two or more output signals at different frequencies or frequency ranges. One example is shown in the circuit below, which represents a cross-over circuit for a sound system, where v(t) and v(t) represent speakers such as a tweeter or a woofer each with an impedance of Z= 5. 1. Find the transfer function of each output v(t) and v(t), and determine which one acts as the tweeter (high frequencies) and woofer (low frequencies) 2. Identify the values of L and C such that the cross-over frequency (frequency at which the two transfer functions cross) is equal to 4 kHz. Plot the system gain for each output using the values you identified for L and C. vi(t) 5 Ω v(t) 50 v²(t)
Transcribed Image Text:A cross-over circuit takes a single input signal and splits it into two or more output signals at different frequencies or frequency ranges. One example is shown in the circuit below, which represents a cross-over circuit for a sound system, where v(t) and v(t) represent speakers such as a tweeter or a woofer each with an impedance of Z= 5. 1. Find the transfer function of each output v(t) and v(t), and determine which one acts as the tweeter (high frequencies) and woofer (low frequencies) 2. Identify the values of L and C such that the cross-over frequency (frequency at which the two transfer functions cross) is equal to 4 kHz. Plot the system gain for each output using the values you identified for L and C. vi(t) 5 Ω v(t) 50 v²(t)
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