lecture09

# lecture09 - • Find the output after passing through an RC...

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BIEN 130: Bioinstrumentation L09 April 28, 2009 Hyle Park

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Midterm Two options 5 problems on Wednesday 2 problems on Wednesday, 3 problems on Thursday Note sheets Look through old ones Can bring in 1 new sheet tomorrow
Homework problem 1

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Measurement reality One way to think of alternating voltages (anything really) is that energy moves cyclically from real to imaginary and back (there are exceptions) A measurement can only pick up the real component ( 29 5 2 2 cos5 sin5 2cos5 2sin5 j t in V e t j t t j t = = + = + { } , Re 2cos5 in measured in V V t = = ( 29 ( 29 ( 29 ( 29 ( 29 5 90 2 2 cos 5 90 sin 5 90 2 sin5 cos5 2sin5 2cos5 j t in V e t j t t j t t j t + ° = = + ° + + ° = - + = - + { } , Re 2sin5 in measured in V V t = = -
Effect of transfer functions The complex transfer function can be applied to each frequency component separately to find the output

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Unformatted text preview: • Find the output after passing through an RC low pass filter with a time constant of 2 sec ( 29 1 1 1 1 2 out in V H V j RC j ϖ = = + = + ( 29 5 90 2 j t in V e + ° = ( 29 { } ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 5 90 5 90 1 5 @5 2 1 10 1 10 2 1 10 1 10 2 1 10 cos 5 90 sin 5 90 101 2 1 10 sin5 cos5 101 2 sin5 cos5 50sin5 10cos5 101 j t out in j t V H V e j j e j j j t j t j t j t t j t j t t + ° + ° = = + -= +-=-+ ° + + ° =--+ =-+ + + ( 29 2 sin5 10cos5 101 out V t t =-+ 2sin5 in V t = -Homework problem 2 Homework problem 3 Questions...
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lecture09 - • Find the output after passing through an RC...

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