Aircraft use \(400 \mathrm{~Hz}\) power for electrical systems. However, sometimes the power radiates and affects some critical instruments. There is a need for a \(400-\mathrm{Hz}\) notch filter with \(\mathrm{a} \zeta=1\). A manufacturer offers the device shown in Figure P14-9. and claims that by properly selecting \(R\) and \(C\) in the following transfer function one can notch any frequency.
\[
T(s)=\frac{V_{2}(s)}{V_{1}(s)}=\frac{(R C s)^{2}+1}{(R C s)^{2}+2 R C s+1}
\]
Select the values of \(R\) and \(C\) and run a MATLAB check of the transfer function and determine if the device works as promised.

Transcribed Image Text:

R +> ww V(1) C R ww R/2C 2C + v(t)