In a RC circuit with input Vi(ω) and output Vo(ω)
1. Calculate Vo( ω)/Vi(ω) for R=5KOhm. What is the frequency when Vo(ω)/Vi(ω) =-3 dB and what is the frequency when Vo(ω)/Vi(ω) = -20 dB?
a. 6.64 KHz and 66.4 KHz
b. 9.95 KHz and 99.5 KHz
c. 19.9 KHz and 199 KHz
d. None of the above; see Problem Work
2. The output response for a system is given as Vo(t) = A(1-e^-at)sin(ωt). Is this a proper representation for an output response given that it contains a sinusoidal term? Fully explain your answer.