What is the order N of the low pass Butterworth filter in terms of KP and KS?

Question

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

(  frac{log u2061[(10^  frac{K_P}{10}-1)/(10^  frac{K_s}{10}-1)]}{2 log u2061(  frac{  Omega_P}{  Omega_S})}  )

TuteeHUB · Answer

(  frac{log u2061[(10^  frac{K_P}{10}+1)/(10^  frac{K_s}{10}+1)]}{2 log u2061(  frac{  Omega_P}{  Omega_S})}  )

TuteeHUB · Answer

(  frac{log u2061[(10^  frac{-K_P}{10}+1)/(10^  frac{-K_s}{10}+1)]}{2 log u2061(  frac{  Omega_P}{  Omega_S})}  )

TuteeHUB · Answer

(  frac{log u2061[(10^  frac{-K_P}{10}-1)/(10^  frac{-K_s}{10}-1)]}{2 log u2061(  frac{  Omega_P}{  Omega_S})}  )

1.	What is the order N of the low pass Butterworth filter in terms of K_P and K_S?
A.	( frac{log u2061[(10^ frac{K_P}{10}-1)/(10^ frac{K_s}{10}-1)]}{2 log u2061( frac{ Omega_P}{ Omega_S})} )
B.	( frac{log u2061[(10^ frac{K_P}{10}+1)/(10^ frac{K_s}{10}+1)]}{2 log u2061( frac{ Omega_P}{ Omega_S})} )
C.	( frac{log u2061[(10^ frac{-K_P}{10}+1)/(10^ frac{-K_s}{10}+1)]}{2 log u2061( frac{ Omega_P}{ Omega_S})} )
D.	( frac{log u2061[(10^ frac{-K_P}{10}-1)/(10^ frac{-K_s}{10}-1)]}{2 log u2061( frac{ Omega_P}{ Omega_S})} )
Answer» E.

What is the order N of the low pass Butterworth filter in terms of K_P and K_S?