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 v3 (t) represent speakers such as a tweeter or a woofer each with an impedance of Z = 69. 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 3 kHz. Plot the system gain for each output using the values you identified for L and C. vi(t) 69 (1) >60²(t)

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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 v2 (t) represent speakers such
as a tweeter or a woofer each with an impedance of Z = 69.
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 3 kHz. Plot the system gain for each output using
the values you identified for L and C.
60v (1)
>6Qv²(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 v2 (t) represent speakers such as a tweeter or a woofer each with an impedance of Z = 69. 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 3 kHz. Plot the system gain for each output using the values you identified for L and C. 60v (1) >6Qv²(t)
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