hw14c.pdf - Folder Number Name ECE 2210 homework 14 c Read the Frequency Response Filters Bode Plots handout and/or sections 2.31-33 in your textbook 1

hw14c.pdf - Folder Number Name ECE 2210 homework 14 c Read...

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Folder Number______ Name__________________________ c ECE 2210 homework # 14 Read the Frequency Response, Filters & Bode Plots handout and/or sections 2.31-33 in your textbook. 1. Convert the following ratios to dB . Example: ratio = 12 = . 20 log ( ) 12 21.6 dB a) 4 1 b) 1 4 c) 500 d) 20000 2. Convert 20 dB, 46 dB, -46 dB and 80 dB to voltage ratios. Example: 50 dB, voltage ratio = = 10 50 20 316.23 a) . 20 dB b) . 46 dB c) . 46 dB d) . 80 dB 3. a) Find the transfer function of the filter circuit shown. V in is the input and V L is the output. H ( ) ϖ =? R . 30 L . 2 mH V L = b) Find the corner frequency(ies). ECE 2210 homework # 14, p1
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Transcribe the results of parts a) and b) here: H ( ) ϖ = Corner frequency(ies): c) Find the approximations of the transfer function in each frequency region, find magnitudes in dB, and slopes in dB/decade. d) Draw the asymptotic Bode plot (the straight-line approximation) of the filter circuit shown above. Accurately draw it on the graph paper provided. Label the vertical axis with numbers in dB. 1 10 100 1 10 3 1 10 4 1 10 5 1 10 6 rad sec Frequency e) The asymptotic Bode plot is not exact. Sketch the actual magnitude of the transfer function on the same plot.
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