# Homework Help: Alternating Current Circuits

1. Sep 25, 2013

### Sastronaut

1. The problem statement, all variables and given/known data
part 1. at what frequencies will the circuit act as a differentiator?
part 2. interchanging R and C of figure D produces a low pass filter. At what frequencies will v_out/v_in = .95?
part 3. at what frequencies will the RC circuit of problem 18 act as an integrator?
part 4. design a low-pass filter that has v_out/v_in =0.5 at 5kHz
part 5. for the cicuit that you designed in problem 20, at what frequencies will v_out/v_in equal .01 and .99?

2. Relevant equations

3. The attempt at a solution
I have completed part 1 but I am having issues in understanding where to begin for the other parts of this problem. I have attached my work and as well the circuit. any help would be greatly appreciated! thanks pf!

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2. Sep 27, 2013

### Staff: Mentor

For part 2, you analyze the low pass filter as a potential divider, not overlooking the j term in capacitive reactance.

v(o) / (in) = vC / ( vR + vC ) = 0.95

3. Oct 1, 2013

### Sastronaut

Thank you nascentoxygen!