- #1

garthenar

- 35

- 8

- Homework Statement
- Example 14.1: For the RC circuit in Fig. 14.2(a), obtain the transfer function Vo∕Vs and

its frequency response. Let vs = Vm cos ωt

- Relevant Equations
- H(w) = Vo / Vin = |H(w)| ∟θ

Algebra/Trig for dealing with the Magnitude and Phase

Here is the example and solution in full. I have circled where I'm at and highlighted the part that's tripping me up.

I managed to get...

and getting everything in terms of the angular frequency seems to be critical for getting the plots for the Frequency Response.

I checked my notes on RC, LC, and RCL circuits and I can't find this equation. I also checked my book.

I looked on Wikipedia and they seem to be getting this from A function G (gain?) but there's a lot of mention of Filters (Next section) and all the videos on Youtube were talking about Laplace Transforms (Section after next) so I'm having trouble understanding. https://en.wikipedia.org/wiki/RC_circuit#Frequency-domain_considerations

Hope that's not too much. I'm sure it's something simple but It's driving me up a wall.

I managed to get...

and getting everything in terms of the angular frequency seems to be critical for getting the plots for the Frequency Response.

I checked my notes on RC, LC, and RCL circuits and I can't find this equation. I also checked my book.

I looked on Wikipedia and they seem to be getting this from A function G (gain?) but there's a lot of mention of Filters (Next section) and all the videos on Youtube were talking about Laplace Transforms (Section after next) so I'm having trouble understanding. https://en.wikipedia.org/wiki/RC_circuit#Frequency-domain_considerations

Hope that's not too much. I'm sure it's something simple but It's driving me up a wall.