Question

Which of the following statements are true regarding the given filter circuit?

• A. 2 and 3 only
• B. 2 and 4 only
• C. 1 and 4 only
• D. 1 and 3 only

Answer 1

The correct option is C 1 and 4 only

Transfer function is,

$H\left(s\right)=\frac{V_0}{V_i}=\frac{R||\frac{1}{sC}}{sL+R||\frac{1}{sC}}$

$H\left(s\right)=\frac{R}{R+sL+RLC{s}^2}$

Put s = j$\omega$ $H\left(j\omega \right)=\frac{R}{-{\omega }^{2}RLC+j\omega L+R}$

Since, H (0) = 1
H$\left(\infty \right)=0$

And order is two, so we conclude that it is second-order low pass filter.