What is the magnitude frequency response of a Butterworth filter of order N and cutoff frequency ΩC?

$\frac{1}{\sqrt{1+(\frac{Ω}{Ω_C})^{2N}}}$

$\sqrt{1+(\frac{Ω}{Ω_C})^{2N}}$

What is the magnitude frequency response of a Butterworth filter of o

1.	What is the magnitude frequency response of a Butterworth filter of order N and cutoff frequency ΩC?
A.	$\frac{1}{\sqrt{1+(\frac{Ω}{Ω_C})^{2N}}}$
B.	$1+(\frac{Ω}{Ω_C})^{2N}$
C.	$\sqrt{1+(\frac{Ω}{Ω_C})^{2N}}$
D.	None of the mentioned
Answer» B. $1+(\frac{Ω}{Ω_C})^{2N}$

1.	What is the magnitude frequency response of a Butterworth filter of order N and cutoff frequency ΩC?
A.	\(\frac{1}{\sqrt{1+(\frac{Ω}{Ω_C})^{2N}}}\)
B.	\(1+(\frac{Ω}{Ω_C})^{2N}\)
C.	\(\sqrt{1+(\frac{Ω}{Ω_C})^{2N}}\)
D.	None of the mentioned
Answer» B. \(1+(\frac{Ω}{Ω_C})^{2N}\)