Given: The circuit shown above operates in steady state over a range of frequenc

Question

Given: The circuit shown above operates in steady state over a range of frequencies. Vi is the input voltage and Vo is the output voltage.

Required:

a. Determine the gain in decibels at a frequency of ?a = 200 Rad/sec

b. Determine the gain in decibels at a frequency of ?b = 11 kRad/sec

c. Determine the gain in decibels at a frequency of ?c = 625 kRad/sec

Given: The circuit shown above operates in steady state over a range of frequencies. Vi is the input voltage and Vo is the output voltage. Required: a. Determine the gain in decibels at a frequency of ?a = 200 Rad/sec b. Determine the gain in decibels at a frequency of ?b = 11 kRad/sec c. Determine the gain in decibels at a frequency of ?c = 625 kRad/sec

Explanation / Answer

this is a inverting op amp configuration with, Z1 = 5 +j(10^6/(w500)) kohms Z2 = 1/( (1/80) + j(w40/10^9) ) kohms gain = |Vo/Vi| = |-Z2/Z1| = |Z2|/|Z1| a)at w = 200, Z1 = 5 + j10 Z2 = 250000/(3125 + j2) gain = |Z2|/|Z1| = (250000/3125.000640614991)/(5sqrt(5)) =7.155416012558869 =20 log(7.155416012558869) decibels =17.09269808389435 decibels b)w = 11k Z1 = 09090909090909091*(55+j2) Z2 = 50000/(625+j22) gain = |Z2|/|Z1| = (50000/625.3870798319327)/(09090909090909091*55.0363511659808) = 1.597953553051224*10^-16 = 20log(1.597953553051224*10^-16) decibels = -315.9287211740042 decibels c)w = 625k Z1 = 0.0016*(3125+j2) Z2 = 80/(1+j2) gain = |Z2|/|Z1| = (80/sqrt(5))/(0.0016*3125.000640614991) = 7.155416012558869 =20 log(7.155416012558869) decibels =17.09269808389435 decibels

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