Consider the second order low pass filter circuit shown below.

Question

The differential equation associated with the input voltage vi(t) and the output voltage vo(t) of this system can be written in the following form:

A⋅d2vodt2+B⋅dvodt+C⋅vo=vi
Where the coefficients A, B, and C can all be written in terms of the component values L, C and R

(a) What is the algebraic expression for coefficient A associated with the d2vodt2 term?

Answer 1

L*C