ECE2260F09_HW3p3soln

ECE2260F09_HW3p3soln - 2260 F 09 HOMEWORK #3 prob 3...

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2260 F 09 HOMEWORK #3 prob 3 solution E X : + + L 8 C speaker v i v o The above circuit is part of a simple crossover network for driving a midrange speaker having an impedance of 8 . The circuit is described at the following web site: http://www.termpro.com/articles/xover2.html . A more in-depth discussion of crossover networks may be found at http://sound.westhost.com/lr-passive.htm . a) The web site describing the above bandpass filter suggests using cutoff frequencies of ƒ C1 = 130 Hz and ƒ C2 = 4 kHz. Determine the L and C values that yield these cutoff frequencies. b) Plot |V o /V i | versus ω . S OL ' N : a) This is a standard band-pass filter. The cutoff frequencies for this filter are as follows: ω C 1,2 = ± R 2 L + R 2 L 2 + 1 LC where R = 8 . The following observations simplify our calculations: ω C 2 − ω C 1 = R 2 L + R 2 L 2 + 1 LC − − R 2 L + R 2 L 2 + 1 LC or ω C 2 −ω C 1 = R L or
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L = R ω C 2 −ω C 1 Also, ω C 1 ω C 2 = R 2 L + R 2 L 2 + 1 LC R 2 L + R 2 L 2 + 1 LC or ω C 1 ω C 2 = R 2 L 2 + R 2 L 2 + 1 LC
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ECE2260F09_HW3p3soln - 2260 F 09 HOMEWORK #3 prob 3...

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