Hw8Solutions

# Hw8Solutions - HOMEWORK 8 SOLUTIONS EE105 Sring 2006 1...

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HOMEWORK 8 SOLUTIONS EE105 Sring 2006 1. SOLUTIONS: a) Transfer function is: ( ) ( ) ( ) ( ) ( ) 2 2 2 2 2 1 2 2 2 1 1 1 2 2 2 2 12 2 12 5 12 5 1 1 1 1 1 1 0.1 10 10 100 0.1 100 0.1 10 10 1 10 10 10 300 3 10 300 j L R j C j L R R j C H j R j L R j C j C R j L R j C j LC R R L j LC j R C R R R j j j ω ω ω ω ω ω ω ω ω ω ω ω ω ω ω ω + + + = × + + + + + = + + + + × × × = × × × + + × × + + × = ( ) ( ) 2 12 2 12 6 2 6 2 5 3 10 4 10 4 10 1 3 10 3 1 5 10 j j j j j ω ω ω ω ω × × × × + × × + × = + × Bode plot:

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79kHz 180d 150d 100d -90˚/dec 50d 0d p(V(vout)/V(vin)) 0 40db/dec -100 SEL>> -200 1.0Hz 10Hz 100Hz 1.0KHz 10KHz 100KHz 1.0MHz 10MHz 100MHz 1.0GHz DB(V(vout)/V(vin)) Frequency b) Transfer function: 1 j L R 2 ± + ( ) j C ± 1 j L R 2 ± + + ± H j ± = ² ( ) j C R 2 1 ( ) j L R 2 j L R 2 ± + ± + j C ± R + 1 1 j L R 2 ± + + j C ± 1 = 2 R R ³ ´ ³ ´ L 1 1 ( ) j L j R 1 C µ 1 ± ± C + + + + µ R R R 2 2
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• Spring '06
• MingWu

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