(Solved): Consider the RC filter given: the figure below whose differential equation representation is also R ...

Consider the RC filter given: the figure below whose differential equation representation is also RC- + vc(t) = vs(t), dvc(t) dt where R 5, and C = 1. F V? a. Find the system function H? (jw) = c) for the system whose input is vs(t) and Vs(jw) output is ve(t). Plot the frequency response. Determine the type of the filter. (10 Pts.) b. Find the system function H? (jw) =V) for the system whose input is vs(t) and Vs(jw) output is VR (t), where v (t)= v(t)-ve(t). Plot the frequency response. Determine the type of the filter. (10 Pts.)