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Unformatted text preview: UC Berkeley, EECS Department B. E. Boser EECS 40 HW14: Bode Plot UID: Graph paper is available on the course website at http://www.eecs.berkeley.edu/~boser/courses/40/resources/graphpaper . 1. (optional) Redo Examples E.1 and E.2 in Nilsson & Riedel for L = 20 mH, C = 5 mF, and R = 15 Ω . Suggestion: the calculations are simpler if you first derive an algebraic expression for H ( s ) = H ( j ω ) and substitute numerical values only at the end. 2. (optional) Redo Example 10.5 in Nilsson & Riedel for Z L = 25 + j 32 Ω (instead of Z L = 39 + j 26 Ω ). 3. Draw a piecewise linear approximation of the Bode plot for H ( s ) = V 2 ( s ) V 1 ( s ) for R 1 = k Ω and C 1 = 1/2 π f 1 R 1 with f 1 = 10 Hz. What are the magnitude and phase (in [deg]) at the following frequencies: Frequency Magnitude [dB], Phase [deg] 1 Hz 1 pt. 10 Hz opt. 1 100 Hz opt. 2 1 kHz 1 pt. 3 10 kHz opt. 4 100 kHz opt. 5 1 MHz 1 pt. 6 10 MHz opt. 7 100 MHz opt. 8 1 GHz 1 pt. 9 10 GHz opt. 10 Now this circuit is used in a phone to attenuate 60 Hz interference. Determine the value of C 1 such that | H ( 2 π j × 300 Hz ) | =- 3.01 dB . Calculate the magnitude and phase response of H ( s ) and fill in the table below. Frequency Magnitude [dB], Phase [deg] 60 Hz 1 pt. 11 Hz 1 pt....
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This note was uploaded on 01/15/2011 for the course EE 40 taught by Professor Chang-hasnain during the Fall '07 term at University of California, Berkeley.
- Fall '07