# Solution7 - UNIVERSITY OF CALIFORNIA AT BERKELEY EECS...

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UNIVERSITY OF CALIFORNIA AT BERKELEY EECS Department Page 1 of 7 EECS 40/42/100, Spring 2007 Prof. Chang-Hasnain Homework #7 Due at 6 pm in 240 Cory on Wednesday, 03/14/07 Total Points: 100 Put (1) your name and (2) discussion section number on your homework. You need to put down all the derivation steps to obtain full credits of the problems. Numerical answers alone will at best receive low percentage partial credits. No late submission will be accepted expect those with prior approval from Prof. Chang-Hasnain. 1. Hambley, P6.55 [8 Points] This is a first-order high-pass filter analyzed in Section 6.5. The transfer function is ) / ( 1 ) / ( ) ( B B in out f f j f f j V V f H + = = [2 Points] where kHz RC f B 183 . 3 2 1 = = ! [2 Points] The Bode plots are shown in Figure 6.21 at Page 280 in the textbook. [4 points] 2. Hambley, P6.58 [8 Points] To attenuate the 60-Hz component by 40 dB, the break frequency must be two decades higher than 60 Hz because the roll-off slope is 20dB/decade. [2 Points] Thus the break frequency must be kHz f B 6 = . [2 Points] The 600-Hz component is attenuated by 20 dB . [2 Points]

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• Spring '07
• Chang-Hasnain
• Low-pass filter, EECS Department

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