- #1
Khesahn
- 5
- 0
Homework Statement
I made a quick drawing of the circuit, and I apologize because I am not good at using the computer to draw circuits! Anyway, in this particular circuit R=200Ω , and L=5mH.
For part a I am supposed to find the Transfer Function H(jw) = (Vout/Vin) in terms of ω.
For part b I am supposed to find the 1/2 power frequency for this filter in hertz.
Homework Equations
None given
The Attempt at a Solution
For part a, I believe I am correct in my thinking here. I used (Vout/Vin) = Zr/(Zr+Zl) which would give me:
H(jw)= R/(R+jωL), and this would be my transfer function. I believe this is correct.
On part B I am a little confused. I am setting the magnitude of my transfer function equal to 1/√2. Therefore I would have:
[ R / √(R^2 + (ωL)^2)] = 1/√2.
After multiplying things out and simplifying my equation here, I came up with that ω=R/L. This would give me ω=(200/.005), which means ω=40000.
Considering I am supposed to find this in Hertz, I used ω=2∏f, therefore f= ω/2∏.
This would give me f = 6366Hz. Am I doing this correctly? I have one of those feelings where I am not going about this in the right way.
Thanks for your help.http://i47.tinypic.com/o5apt0.gif